{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# SageMath para físicos \n",
    "***\n",
    "Rogério T. Cavalcanti"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Aula 2.3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "%display latex\n",
    "reset()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "##  1. Gráficos 2D"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "### 1.1 Gráficos de funções simbólicas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "Graphics object consisting of 1 graphics primitive"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(sin(x)/x, (x, -3*pi, 3*pi))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "Graphics object consisting of 1 graphics primitive"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(sin(5*x)/(5*x), (x, -3*pi, 3*pi), color='green', thickness=2,\\\n",
    "     axes_labels=[r\"$x$\", r\"$\\frac{\\sin(5x)}{5x}$\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}b</script></html>"
      ],
      "text/latex": [
       "\\begin{math}\n",
       "\\newcommand{\\Bold}[1]{\\mathbf{#1}}b\n",
       "\\end{math}"
      ],
      "text/plain": [
       "b"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "var('b')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "Graphics object consisting of 1 graphics primitive"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot((b*x * sin(1/x)).subs(b==1),(x, -2, 2),color=(.5,.2,.5),alpha=.7, xmax=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### 1.2 Opções de argumentos"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Algumas opções de argumento do comando `plot`:\n",
    "* `xmin` e `xmax`: valores mínimo e máximo para o \"eixo x\"  (análogo para `ymin` e `ymax`);\n",
    "* `color`: cor do gráfico, seja um tupla RGB, uma string como `'blue'` ou um no formato HTML `'#aaff0b'`;\n",
    "* `alpha`: transparência da linha;\n",
    "* `thickness`: espessura da linha;\n",
    "* `linestyle`: estilo da linha. Pontilhada com `':'`, traço-pontilhada com `'-.'`, tracejada `'--'` ou sólido padrão `'-'`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "Para mais opções"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "Também é possível armazenar um gráfico em uma variável python "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "Graphics object consisting of 1 graphics primitive"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g1 = plot(sin(x^2)/(x^2), (x,-4,4), color=(47/255,79/255,79/255), thickness=2, \\\n",
    "          axes_labels=[r\"$x$\", r\"$y$\"]);g1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Graphics object consisting of 1 graphics primitive\n"
     ]
    }
   ],
   "source": [
    "print(g1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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wMNCqlb6xOJCQkIDk5GQkJSXpHYprbD1MgJz8TUR+iQkTkb8qKgL+/FO2W7QAQkP1jcdfsYeJKCDwKjkifxUcDKSlyV6PnBy9o/Ff0dGyXEN+PnuYiPwYF98lIkPxmcV31dq3B/btk2UGrlwBKlfWOyIico3D9Y04JEdE5C7bPKbCQuDYMX1jISKP4JAcEZG7br1V1mCKiQGqVdM7GiLyAA7JEfmr6dOBmjWBm24CevfWOxqn+eSQHBH5OodDckyYiPyR1SqTpStX5BpyPlRQkQkTEemAc5iIAtKZMzJZAoA2bfSNhYjIDzBhIvJH6h4lgxes9CtWK5CSIr8SkV9hwkTkj5gwed/EiUCNGsANNwCnT+sdDRFpjAkTkT9iwuR9wcHySjkAOHJE31iISHNMmIj8ERMm72vZUmkfPapfHETkEUyYiPyRLWGqXh1o2FDfWAKFOmFiDxOR32HCRORvCgqA48dlu2VLwOTwallDSExMRExMDOLi4vQOpWJatFDaTJiI/A7rMBH5m8OHgdatZXvoUGDpUn3jcZHP1mGyWmWV77w8WfH7wAG9IyIi57EOE1HAEQJ44AG5IGz79npHEziCgoDmzWX72DGWFiDyM1xLjsjftG4NLFumdxSBqUULIDlZ9jKdOgU0bap3RESkEfYwERFphVfKEfktJkxERFrhlXJEfotDckT+xmqV82nI+wYOBDZskENzUVF6R0NEGuKrKpE/uXJFXqnVpg0webLe0QSeyEigb18gOlpW/iYiv8GEicifpKTICceHDgEZGXpHQ0TkN5gwEfmTY8eUtu0SdyIichvnMBH5E3XCdMMN+sURyA4cAH79VV4l9+STQIMGekdERBpgwkTkT9jDpL9PPwXeflu2+/RhwkTkJzgkR+RPbGvIAUyY9KJeU461mIj8BhMmIn9i62GqXh2IiNA3lkDFWkxEfokJE5G/KCqSV8kBcv6SyeFakoaSmJiImJgYxMXF6R2Ke9Q9TEyYiPyGSQjh7LZOb0hEOjh5EmjWTLbvvRdYsULPaCosKysLZrMZFosFYWFheofjOqtV1sLKywNuvBHYv1/viIjIMYefMNnDROQvOH/JGIKClEV3T5wAnP9QSkQGxqvkiPxFp07ADz/IeUzt2ukdTWBr1gw4fBjIyQEuXADq1dM7IiJyExMmIn9hNsvL2Pv00TsSio5W2ikpTJiI/ACH5IiItKZOmE6c0C0MItIOe5iIiLTWqhXQurUcmjOb9Y6GiDTAq+SI/MWiRUCTJvKy9qgovaOpMJ+/So6IfJHDq+TYw0TkD7KygFGjZPv224FNm3QNh4jI33AOE5E/OHlSadtqMRERkWaYMBH5A/XEYiZMRESaY8JE5A88mDDNnj0b0dHRqFKlCmJjY7F169Zyt8/Ly8PUqVPRtGlThIaGonnz5vjkk080jcknzJgha2PVqQOcOaN3NETkJs5hIvIHHkqYli5diokTJ2L27Nno0aMHPv74YwwYMADJycmIKmNi+dChQ3H27FnMnz8fLVq0wLlz51BYWKhZTD7jzBlgzx7ZTkkBGjXSNx4icgsTJiJ/4KGEaebMmRg7dizGjRsHAJg1axbWr1+POXPmYMaMGaW2X7duHX766SccP34cderUuRaOdvH4FPXvfeIE0KOHXpEQkQY4JEfkD2wJU3Aw0LixJofMz8/Hrl27EB8fX+z++Ph4bN++3e4+q1atQufOnfHWW2+hcePGaNWqFZ555hlcvXq1zPPk5eUhKyur2M0vlKz2TUQ+jT1MRP7AljA1aQJU0ubf+sKFCygqKkJERESx+yMiIpCRkWF3n+PHj+Pnn39GlSpVsGLFCly4cAH//Oc/cfHixTLnMc2YMQOvvvqqJjEbChMmIr/CHiYiX5eVBVy8KNseGP4ymYrXcxNClLrPxmq1wmQyYfHixejSpQsGDhyImTNnYuHChWX2Mk2ZMgUWi+X67dSpU5r/DrooOSRHRD6NCRORr8vMBFq2BEJCNE2YwsPDERwcXKo36dy5c6V6nWwaNmyIxo0bw6xaDqRt27YQQuD06dN29wkNDUVYWFixm1+oXVtZFoU9TEQ+jwkTka+LjgYOHwauXgUSEzU7bEhICGJjY7Fx48Zi92/cuBHdu3e3u0+PHj1w5swZXL58+fp9hw8fRlBQEJo0aaJZbD7DNiyXmgoE4pWCRH6ECRORvwgKAqpX1/SQkyZNwrx58/DJJ5/g4MGDeOqpp5Camorx48cDkMNpI0eOvL798OHDUbduXYwZMwbJycnYsmULJk+ejL///e+oWrWqprH5BFuPX1ERkJamayhE5B5O+iaiMg0bNgyZmZl47bXXkJ6ejnbt2mHNmjVo2rQpACA9PR2pqanXt69RowY2btyIJ554Ap07d0bdunUxdOhQvP7663r9CvoqOfH72uNGRL7HJIRwdlunNyQiqqisrCyYzWZYLBbfn8+0dSuwe7dMnHr0AOrW1TsiIrLP/pUs6g2YMBH5uJEj5fyl5s2BN9/UOxq3+VXCRES+ggkTkd+rW1eWFWja1C8uX2fCREQ6cJgwcdI3kS/zcA0mIiKSmDAR+bKTJ5U2EyZjOn8e+O03YOVKvSMhIjfwKjkiX+ahRXdJQwMHAjt3yrIPublA5cp6R0REFcAeJiJfxoTJ+CIj5VerFThzRt9YiKjCmDAR+TIOyRlfVJTS9pd18ogCEBMmIl+m7mFiUURjUidMqiKfRORbmDAR+TJbj4XJBDRurG8sbkpMTERMTAzi4uL0DkVbtiE5gD1MRD6MCRORL7O9ATdoAISE6BuLmxISEpCcnIykpCS9Q9EWe5iI/AKvkiPyZc8+K4flQkP1joTKwh4mIr/AhInIl02cqHcE5EiDBrKUQEEBe5iIfBiH5IiIPCkoSJlfxh4mIp/FhImIyNOiouTE/NBQWbySiHwOh+SIfNW5c7L3om5d+WZMxvXNN0BYmM9PzCcKZOxhIvJVr74K1KsHVKsG7N2rdzRUnvBwJktEPo4JE5Gvss2Hyc0F6tfXNxYiIj/HhInIV9muuKpcWV6JRUREHsM5TES+ytbD1LixnMtExvXXX8DMmTLJvfFGWT+LiHwKX2WJfFFODnDxomyrCyOSMQUFAa+/DixaBKxfr3c0RFQBTJiIfJG6no966Q0yJrMZqFlTtlmLicgnMWEi8kXqN132MPkGW2J76hQghL6xEJHLmDAR+SI/TJgSExMRExODuLg4vUPxDFvClJsLXLigbyxE5DImTES+yA8TpoSEBCQnJyMpKUnvUDxD/XfimnJEPocJE5EvUr/hcg6Tb1D/nZgwEfkcJkxEvuiDD4A//wQ2bgRattQ7GnKGuoeJE7+JfA7rMBH5omrVgNat5Y18A3uYiHwae5iIiLxBnTCxh4nI57CHiYjIGxo3Bvr1k4lT9+56R0NELmLCRORrUlOBhQvlnJhbbgFiYvSOiJwRGgqsW6d3FERUQRySI/I1f/wBTJsG/P3vwFdf6R0NEVFAYMJE5Gv8sAYTEZHRMWEi8jXqK6yYMPmmq1eBvDy9oyAiFzBhIvI17GHyXfPmAXXryrIQq1frHQ0RuYAJE5GvSUtT2k2a6BcHuS40FLh4UbbVf0ciMjwmTES+5swZ+bVmTXkj39G4sdI+fVq/OIjIZUyYiHyJEErPRKNG+sZCrlP3CLKHicinMGEi8iVZWUBOjmyreyv8QGJiImJiYhAXF6d3KJ7DHiYin8WEiciXqHsl/CxhSkhIQHJyMpKSkvQOxXOqVwdq1ZJtJkxEPoUJE5EvsVqB228HWrYEmjfXOxqqCNuwXFqaHGIlIp/ApVGIfEm7dsCmTXpHQe5o3BjYv1/WYcrMBMLD9Y6IiJzAHiYiIm/ixG8in8SEiYjImzjxm8gncUiOiMibhg0DYmNlT1OrVnpHQ0ROYsJE5EsGDwbOngWiooBlywCTSe+IyFUxMfJGRD6FCRORL9m9W1b6PnWKyRIRkRdxDhORrygqAjIyZNvPajARERkdEyYiX3H2rKzDBHg1YZo9ezaio6NRpUoVxMbGYuvWrU7tt23bNlSqVAkdO3b0bIC+aMcOOaS6cKHekRCRk5gwEfkK9SXoXlpHbunSpZg4cSKmTp2KPXv2oFevXhgwYABSU1PL3c9isWDkyJG44447vBKnz3noIWDoUODJJ/WOhIicxISJyFecOaO0vdTDNHPmTIwdOxbjxo1D27ZtMWvWLERGRmLOnDnl7vfYY49h+PDh6Natm1fi9Dm2WkxZWUB2tr6xEJFTmDAR+QovryOXn5+PXbt2IT4+vtj98fHx2L59e5n7LViwAMeOHcO0adOcOk9eXh6ysrKK3fye+u/H4pVEPoEJE5Gv8PKQ3IULF1BUVISIiIhi90dERCDDNvm8hCNHjuD555/H4sWLUamScxfhzpgxA2az+fotMjLS7dgNT13tm8UriXwCEyYiX+HlHiYbU4nyBUKIUvcBQFFREYYPH45XX30VrVwoyDhlyhRYLJbrt1OnTrkds+FxeRQin8M6TES+wstzmMLDwxEcHFyqN+ncuXOlep0AIDs7Gzt37sSePXvw+OOPAwCsViuEEKhUqRI2bNiAPn36lNovNDQUoaGhnvkljIo9TEQ+hwkTka+YNAno31/WYqpVy+OnCwkJQWxsLDZu3Ij77rvv+v0bN27EPffcU2r7sLAw7Nu3r9h9s2fPxo8//oivv/4a0dHRHo/ZZ3A9OSKfw4SJyFf07y9vXjRp0iSMGDECnTt3Rrdu3TB37lykpqZi/PjxAORwWlpaGhYtWoSgoCC0a9eu2P7169dHlSpVSt0f8NjDRORzmDARUZmGDRuGzMxMvPbaa0hPT0e7du2wZs0aNG3aFACQnp7usCYT2VG/PlCpElBYyDlMRD7CJIRwdlunNyQiqqisrCyYzWZYLBaEhYXpHY7nREcD+flA+/bA2rV6R0MU6BwuzskeJiJfkJkJpKbKuS/h4UAQL3D1eceO8e9I5EP430rkC9atAzp1AiIigPff1zsa0gKTJSKfwv9YIl+gUw0mIiKSmDAR+QImTEREumLCROQLvLwsCnnBnj3AiBFAnz7AZ5/pHQ0ROcBJ30S+QF3lmwmTf/jrL+Dzz2U7Lk7fWIjIIfYwEfkCWw9TeDgQaMuI+Ct14staTESGx4SJyOisVqWHifOX/If6b6nuQSQiQ2LCRGR0Fy7IitCAXydMiYmJiImJQVygDE/VrAnUqCHb7GEiMjwmTERGFyATvhMSEpCcnIykpCS9Q/EeWwKclgY4v+oCEemACROR0WVkKG0/7mEKSLYEOCcHyM7WNxYiKhevkiMyugED5BvqmTPKEA75B3UCnJYG+PPaeUQ+jj1MRL6gWjWgRQugQQO9IyEtqYdYOfGbyNCYMBER6aVkDxMRGRaH5IiI9BIbCzz2mOxp6tBB72iIqBwm4fyVGbyEg0gPr70mr6Bq1gwYNUrvaDwuKysLZrMZFosFYZzTQ0TeYXK4ARMmIoMLDwcyM2XClJKidzQex4SJiHTgMGHiHCYiI8vNlckS4Nc1mIiIjI4JE5GRqa+cYg0m/5WTAxw/rncURFQOJkxERqa+cooJk3/q1UvW12rdWq4bSESGxISJyMjYw+T/zGb5tbAQOH9e31iIqExMmIiMjD1M/o+1mIh8AhMmIiMLkIV3A5r678qEiciwmDARGVkA9TAlJiYiJiYGcXFxeofiXeq/K5dHITIsJkxERhZACVNCQgKSk5ORlJSkdyjexR4mIp/ApVGIjKxbNyAkBLh8GahaVe9oyBPYw0TkE5gwERnZW2/pHQF5GnuYiHwCh+SIiPQUHg5Urizb7GEiMiwmTEREejKZlF4m9jARGRaH5IiI9PbFF0C1aiwdQWRg7GEiMqqFC4GGDYHOnYG1a/WOhjype3egY0egfn29IyGiMrCHicioUlOBjAx5KyjQOxoiooDGHiYiowqgGkxEREbHHiYio+LCu4Hj7Fngxx/l37xzZ+C22/SOiIhKYMJEZFS2HqbgYKBePX1jIc9KTgaGD5ftZ55hwkRkQBySIzIqW8LUsKFMmsh/qXsQWVqAyJCYMBEZUX4+cO6cbHM4zv+pywmweCWRITFhIjKi9HSlHSC1eRITExETE4O4uDi9Q/G+GjWAsDDZZg8TkSExYSIyogCc8J2QkIDk5GQkJSXpHYo+bH/nM2cAIfSNhYhKYcJEZEQsKRB4bD2JV64AFou+sRBRKbxKjsiIuncHli2TiVPPnnpHQ96gTozPnAFq1dItFCIqjQkTkRE1agQ88IDeUZA3lbxSLiZGv1iIqBQOyRERGQGvlCMyNPYwEREZQVQUEBkpE6fq1fWOhohKMAnnr8bgZRtE3vK//8k5LE2aAA0a6B2NV2VlZcFsNsNisSDMdqk9EZFnmRxtwB4mIqMRArj3XiAnB2jTBjh4UO+IiIgCHucwERlNVpZMlgCWFCAiMggmTERGo67BZIAq37Nnz0Z0dDSqVKmC2NhYbN26tcxtly9fjr59+6JevXoICwtDt27dsH79ei9GS0TkGUyYiIzGQEUrly5diokTJ2Lq1KnYs2cPevXqhQEDBiA1NdXu9lu2bEHfvn2xZs0a7Nq1C71798bgwYOxZ88eL0fuo156Cbj9djkUW1SkdzREpMJJ30RG8+mnwOjRsv3BB8Djj+sWyi233IJOnTphzpw51+9r27Yt7r33XsyYMcOpY9x4440YNmwYXn75Zae2D+hJ33ffDXz3nWyfOQM0bKhvPESBw+Gkb/YwERmNQYbk8vPzsWvXLsTHxxe7Pz4+Htu3b3fqGFarFdnZ2ahTp44nQvQ/6r83F+ElMhReJUdkNAYZkrtw4QKKiooQERFR7P6IiAhkZGQ4dYx3330XOTk5GDp0aJnb5OXlIS8v7/r3WVlZFQvYH5RcHoWIDIM9TERGo36jNMBVciZT8Z5qIUSp++z58ssv8corr2Dp0qWoX79+mdvNmDEDZrP5+i0yMtLtmH0We5iIDIsJE5HR2N4oTSZdi1aGh4cjODi4VG/SuXPnSvU6lbR06VKMHTsWX331Fe68885yt50yZQosFsv126lTp9yO3Wexh4nIsJgwERnN1avya0QEUEm/UfOQkBDExsZi48aNxe7fuHEjunfvXuZ+X375JUaPHo0vvvgCgwYNcnie0NBQhIWFFbsFLPYwERkW5zARGc2+fUBuLpCZqXckmDRpEkaMGIHOnTujW7dumDt3LlJTUzF+/HgAsncoLS0NixYtAiCTpZEjR+L9999H165dr/dOVa1aFWazWbffw2eoe5iYMBEZChMmIiOqUsUQ85eGDRuGzMxMvPbaa0hPT0e7du2wZs0aNG3aFACQnp5erCbTxx9/jMLCQiQkJCAhIeH6/aNGjcLChQu9Hb7vqVMHCA0F8vI4JEdkMKzDRESGEtB1mADghhuAlBSgdm3g4kW9oyEKFFx8l4jIpyQkyCHZxo3lQsxOXJFIRJ7HHiYiI/n+e2DFCjn596GHgNat9Y7I6wK+h4mI9MAeJiKfsn07MH++bPfsGZAJExGREbGsAJGRGGRZFCIiKo49TERGYpBlUUhnWVnyKrnq1YFArnxOZCDsYSIyElvCVLUqUKuWrqGQTrZuBcxmoG1bYNYsvaMhomuYMBEZia32TuPGvDoqUDVsqLRZi4nIMJgwERlFTg5gscg2h+MCF5dHITIkJkxERsEJ3wQA1aopw7HsYSIyDCZMREYR4BO+ExMTERMTg7i4OL1D0Z/t75+WJotXEpHumDARGUWAJ0wJCQlITk5GUlKS3qHoz9bDmJsLXLqkayhEJLGsAJFRNG0KjB4th2FiYvSOhvSkTpjT0uS6ckSkKyZMREbRq5e8EannsJ05A7Rrp18sRASACRP5sx07gJ9/Bpo1AwYPBipX1jsiIueU7GEiIt0xYSL/IwTw/PPAW28p98XFAevXc2iDfEPJHiZfcuAAcPYs0KeP3pEQacoknL8Cg5dqkG/45BNg7Nji91WqBMybB4wapU9MzsjPB0JC9I5Cd1lZWTCbzbBYLAgLC9M7HH1cugScOiUTpzp1fKeI6d69QN++wJUrwO7dXDyafInDfzJeJUf+JSMDePJJ5fu//x0YMgT44w9jJ0tFRXLdsIgI4OGH9Y6G9FarFnDTTUDdusZOlt54A0hOVr5//33gwgWZMD35JEsikF9hwkT+ZdYs4PJl2R4zBpg/H/jmG7kul5FlZACFhcC5c0B2tt7REDl2+DDw4ovAzTcra94lJgJRUbK9fj2webNe0RFpjgkT+Q+LBZg9W7ZDQoDp0/WNxxWnTyvtJk30i4PIWe+9J3uQ8vPlDZBVyt94Q9nmgw/0iY3IA5gwkf9YtkzpnRk1qvgipjZWq5yUajRMmKikDRvkhQtPPAEUFOgdTXFXrwKLF8t2jRrAY48pPxs6VJm0/u23xZ/bRD6MCRP5j+++U9qPPlr652++KYcLYmONVz1Z/aYSGalfHGQcc+YAzz0HfPghkJ6udzTFff+98uHkgQcAs1n5WeXKwCOPyLbVCixf7v34iDyACRP5j6+/BlavlpNNY2NL/zw9Xda0ycsrnlwZwalTSps9TAQUT5zVzw8jWLpUaQ8fXvrn//d/SvubbzwfD5EXMGEi/1G5MjBokJyAau/KovvvV9rr1nktLKdwSI5KUidMRhrWKiiQw4WALHnQu3fpbWJilJICW7fKukxEPo4JEwWObt2AmjVle8MGOVxgFOo3xABceBcAEhMTERMTg7i4OL1DMQaj9jBt3w5kZcl2v36yxllJJpMs5wHIieGrVnkvPiIPYcJEgaNyZaX68IULwJ49+sajZkuY6tYFqlbVNxadJCQkIDk5GUlJSXqHYgxGTZjWrlXaAwaUvd2QIXINvJdfBm67zfNxEXkYEybyfT/8IOdRzJsn6xmVp39/pW2UYTmrVVkvjBO+yUY9NGvUhKlfv7K369wZ2LcPePVVoFUrz8dF5GFcS4583/ffA19+KW8rVgD33lv2tuoX+PXrgalTPR6eU7Zvl2+K9oY3KDA1aiSHtoQwzhwmIYCHHpKJfW4uUL++3hEReQ3XkiPf16GDXPrEZAIyMx0vsNuqFXDkiByiy8oCqlTxTpzkFK4lp9K4sVx8t0ED45UWIPIvXEuO/Nz58zJZAoBOnRwnSwDQs6f8WlAA7NrludiI3GUboj17Vqmm7WuEkMuofPut3pEQuYX9/+Tb1GtV2SZ0O9KtG7BggaxQbJShDiJ7YmOBoCCZOF25Ipf88TW9egHbtsnYL10K2IsayPcxYSL3ZGQAH30E/Pkn0KMHMH68HOryll9/Vdq33urcPvfdB9xyC3DjjUBwsGficsW2bbIHoUkToH17DhGSIjFR7wgUubnA/v1Ax46uzbVr3Vo+x/PzgR07vHvF3Llzcs27lBT5+jBunG8mnWQIHJKjijtyRA6DvfqqrPw7YYK8Ci0vz3sx/Pab0r7lFuf2CQ+XiYkRkiVALhh8//0y/pMn9Y6GyL6kJCAuDqhVC3j3Xef3U3+Q2bJF87DKVFAgP8S9+aZ8fUpIkIVtjbYuH/kMJkxUMXl5wF13lZ6I+uOPwJQp3olBPQcpOhqoV88759Uaq3yTL9ixQ37NySm+dpwjvXop7a1btY2pPJUry3XsmjZV7vvf/4Bnn/VeDORXmDBRxbz3npzICcihrY8/VoaS3n8fOHjQ8zHs3y+HCQDne5eMyJYw1a4NVK+ubyxEZVH35nbp4vx+0dFK9fpffgGKirSNqzw33STjnjtXGYrz1usT+R0mTOS6/HzgnXdkOygIWLwYePRR4MUX5X1WK/DBB56PoyLDcTaZmcBrr8lKxS+9pG1crlDX2GHvEpV06ZIc0rrhBmDYMH1jsVVgr1ZNrhXnLJMJ6NpVti9fBg4d0j628kREAI88IqcOAPJ/7pVXvBsD+QUmTOS6kBCZrEyYAPzjH7IOEiC/b99eJlNvvOH5OG67DXjrLTn/R93t7wyTCZg2TVb73rTJM/E54/x55XJxJkxUUs2asqhpSgpw9Kh+cfz1F3DihGy7OukbKN4jZRva85SrV+3f/8QTSqHNr75Sfh8iJzFh8hdCyE9uu3Z5Z9J18+aya/vDD5X7atYE9u4Fnn5aTgz1tLZtgcmTga+/lpdfu6JOHaBZM9neu9e7wwRqnL9E5QkOlhW/AX2XR/n9d6XdsaPr+3szYerXT072nju3+P919eryQ53Np596No5Tp+Qi3yw46jeYMPkDIeRyIG3ayPWbmjaVl/HqweSwWKpx2JKsnBxlPpa3MWEiR2zPi/PnlTl73rZ3r9K++WbX94+NVV4bPJkwHTsmJ5Zv3w7MmiWnDKiNGqXct2CBnD6gNSHkkkvNmsnkrWlT4O23tT8PeR0TJn9gMskXAlv9o7NngTvuAHbv1jcuo+vUSWnrVfGbCdN1iYmJiImJQVxcnN6hGIt6QWbbIs3epk6YKtLDVLOmnPdUq5Zc5sX5Jblcs3y50h45svQHuCZNZBJz221yDqMnEqa335ZTEmzHLiiQV+b997/an4u8igmTvxgyBFi2TBlmyssDxozRdqhJCDlf6N//Lr9HRgg5QXTyZNkt7gm7dslPqu4MP6o/KduWV/E2dcKkfmMMQAkJCUhOTkaSbXIxSernhV7DcraEKThYXhVbEZs2ARcvAqtXe64nevVqpT1kiP1tVq6UKwSMHKn9YtepqXJupI16buVTT8l1AclnMWHytNOngb/9TQ6XDR4sL4X3lHvukfOYbJ8A//gD+PJL7Y7/++/yE9zzzwOPP172dqdOyTkL77zjuYTp9dfllXFhYRWfvNm+vdLet0+TsFwWHKxMRA3wHiYqg94JU1GRHA4E5OtYRZc2qVfPs0P2Fy8qUxFatZI3ezxZ6XvKFGXY9KmnZKHORx6R3+fkaH9F7pdfyvla7drJK/+8WTQ4ADFh8qTDh+Wwz5IlMpFZvRro3l2Or2vBXrd2SAgwc6by/bvvatf9vXKl0r7vvrK3i4pSkpHdu5UXW60IoZQUqFpVnq8iGjVSFuvVq4fpX/+SQ6i5uWW/wFNgUyfSeiRMwcHyg9/p08Dnn3v//M5at07pUR882PvnLywEsrNlUli3LvDyy/L+N96Q3w8ZInv9tfLuu8Dw4fL95MABWTZh0CD9LmAJAEyYStqzR7vy/fXqlb7cPTsbGDFCLqTpDiGAO++Un2KOHy/+s969latS9u4tvt6aO9auVdqOXpD691fi3LhRm/PbpKUpV57ExZWe2Oksk0kWtgNkV/nFi9rEVxGhocZZqoWMRd3DpNdi0SaTLD5ZkflL9nhiDtN33yntu+5yvH1hoeyR+uknbc5fqRKwapUsAfH118qVwuHh8r5vvgF69tTmXL/9BjzzTOn7f/hBmwnmhYWyOHGXLnK+l3puWCATQjh7M47cXCFWrRLiiy+EuHBBu+NarUJ07SqEySTEkiXaHfPTT4VITRWie3ch5EuFEC++6N5xk5KUY3XuXPrnCxcqPx850r1zCSFEZqZ8XAAh2rVzvP0PP2h7frWvv1aO/cIL7h0rIUE51ubN2sRHbrFYLAKAsFgseodiDGfOKM/Ru+7SOxr3fPyxEHfcIYTZLMTFi9odt6BAiFq15GNUq5YQ+fnlb5+ZKWMAhOjZU7s4vKVXr+LvJRs2KK/PlSsLceJExY9dVCTE3/6mHN92mzPH/bgPHhTi88/l+5fV6v7xtOUwD/K9hOnIESFat1b+iDVqCPH999oce9Uq5bhVqgjx55/aHNfm4EEhQkKUuN15wZg8WYl17tzSP79yRXkBadRIiMLCip9LCCG++ko536RJjrfPzRWiWjW5fUSE/CfUyrPPKrF8+617x1q9WognnxRi3jz5xkS6Y8JUQlGRENOnC7FokXyj8WVPPKH8727YoN1xd+xQjjt0qHP72N5HgoOFuHRJu1i84cgRIe6+W4gbb5TJohBCPPOM8hg8/njFj/3BB6WTJUAmZAcPVuyYVqt83bYldYAQDz8s3ycq6tgxIRYvFmLbNq2SL4MmTBcvCvHHH67vl50tRIsWpf+QISFC/P6768c7dap4D1VhoewNsR130CDXj+nI+PHK8d97r2LHsFqFaNZM+Wc/f97+dnPmyN6YK1cqHO5148Ypca9b59w+gwYp+1Tk71OW225Tjpuert1xve3AASH69BFizBiZrJMQggmToVitQvTvLz9UfPON+8f77DPlf/f1190/ns3HHyvHnT3buX0mTFD2WbHCvfMfPerch8KrV+XoxcyZ7p3P5q+/lPaFC0JUry4/oM6aVbHjWSzKB21AiOXLZSIWEyPExo0Vj/OTT+wnYY8+WrHj/fvf8r1P3fOak1Px+CQDJkx//SWHkGrVklmyK9TDJ82by65U2/c9erieZT78sIzjvfeULtycHCEaN1aOu327a8cUQmb3y5Ypmb/awYPKsVu3rlhmrB6O69vX9f1dZbUKERUlzxca6nwC9t57Spz/+Y82sRQWyhcFQMbky1asUB6f117TOxrDYMJkICdOaPsB8tAh5Xh33+3+8dTS0mQykprq3ParVyux/OMfFT9vfr4QtWsL0bChEM8/X/Z26g+6YWHu9a6U5eef3fuA/OabymMyYoS8r7DQ8RCnIzk5QgwfLo87YIAQVasq51m/3rVjLVhQOvGqXFkmd+4xQML04otC7NypfP/448Xf7F1JGHbuFOLOO+Ub5tGj8gnXqpVyvM8+c/5YGRnK8FidOkJcvqz8bN485ZgPPuj8MYWQPWe2ffv3t7/N7bfLhO/tt4XIy3Pt+EIUH5KyNxyntT//rFiCtmePst+QIdrEon58H3hAm2PqZdYs5Xf59FO9ozEMJkwG8v33ynP0uefcP15RkdKDERGh7zyW7Gz5RgsIccMNFT/O+vXOv1+oRzC++67i5/SEnBwh6tUT14fftJ6SYrXKhE4IIT76SHkcbr7Z+efBmTNC1Kyp7HvffULExwuxf78WEeqcMO3bp2R/tm7SrCylt6KiXaHqCW3qJ2ubNs7PlXn9dWW/Z58t/rOrV5UnTqVKQpw+7Xxs6nHkDz6wv825cxWf02O1yn9uR8NxWvrPf5Tf6e23nd+vsFB5caxbV5t5TP/9b8ViKY/VKj+drl0rJ4N6y1NPKb8LJ5xfx4TJjsuX5ZvC2rWuvR656623lOfookXaHLNvX+WYzvYGeUrv3kosR49W7BiPPKIc4+uvy99WPU921CjXzlNUJBOyTz7xzJyrTZvk3FpAiGHDyt/W3uiJK6xWITp1Uh4LZ6ck/P3vyj5jxrgXQ2k6J0zDhim/3LvvKverhyI6dnT/U8att8pk6eOPnftDFhQow24mkxApKaW3efFFJcapU52Lo7BQdsvakkRPJDO7dilx3XGH4+2vXpVXEz74YOnE0Fnp6fKqu7/9zfVMfsIEOW9ryRL3/8mEkH9jW7f2Tz+5fzwhhHjlFdf/cbUwZIhyXnvPwQDFhMkO9YeWBQu8d95Ro5Tz7tqlzTGnTlWOuWyZNsesqBkzlFgSE13fv6hIec2vUqX4SIU9ublKD0mtWq6NMGzerMR6zz2Ot09Lc36+qU12thDz58v5lSUVFsqLbPr1E+L++107rj0rVyq/T+fOjvOA1FTZgWF77LR/f9UxYUpOVmbE169ffEKW1SpEbKx2XZOu9tgsW6acu6xx9NOnlT9ORIRzY7jq3q5773U+Hlc8/7xyjo8+crz95cty3hEgr5Yz3qWcFZORUbHhTHu+/FJ5TKdP1+aYzrD9DwQFuT9HwI8wYbJD/SHzX//y3nk7d1Y+WLo/qVb69lvld5k82f3jPfOMnN/61Veu/x/t3u1aElLSzp3K/s6WfHjoIWWfNWucP9ejjyr7ffFF2dtZrUL83//J1xWzWZuLfoSQj60tOQwOlhdNlcdiESIuTiai2dn24+zYUY4+vPSS49fziROV3/+ll+xvk5cnyxZU7MO5wzzIqYV0TCaTyWKxuFbg6ZVX5K8GAE88IQthZWUpP3/6aVmlFJDLXNx6q/3j5OTIhWVHjQIGDrRf3C80FLh82fnYZs1S2mPGFI/LpmZNYMAAWQzt7FlZkKxv3/KPO3++0n7gAfvHLenwYbksx/33OxU61q2TX00mWbjSmXPcdhuwYYMszrhlS8VWGzeaqlVldWwtVm+Pjlbau3Y595hqwbakS8OGwNWr8haA8vLykKda0iE7OxsAkOWtv4MvsFWkB4Bjx7zzHLVaZQVpQK5RWfI1vKLatlXa27a5d0whgE8+kUVnP/9cvka7Usg2OlpW4c7MlEUfMzOVRcyd8fXXSvuOO5z7XQYNAhYvlu3Fi+XSJo7k5wNffSXbVasCt99e/rkqV5Z/P4tFLp/ywAOOz+GMkSPlWqJFRcCHHwIvvFD2th99JNcUTUqSBZTfeaf0Np98Il//qlUr//U8Px/44gvZrlIFGD269O+/dq3MK9LSZGHoYcNc+tXMZnMYgGwhbIlLaaZyfqZsZDKFAXAxYyIiIiLyGWYhRJmZqLMJk8lisVidOVtWVhZWR0ZiuO2OadOASZPsb7xkCfDYY7Ldty/iTp4svlJ5QQHQoYPMGAG5Zk6JlbLj4uKK77NvH5CYKM/bsGHpc06cCCxYINtvvaWc30mlzmezcCHw5JOyPW6cXOcH8vGIjIzEqVOnEBYWVnyfp58G5s2T7blzS2XEZZ7L1RjT0+WimYBcCuTnn53/vd5/X+7bsydQvbrz+5V0/rw8b1wcssLCyn5MyhHXuTOSdu50enuXYuzeXX6aDgoCMjKA0NAKPf5O73P4sFzWBUDBvfcifOVKlx8Pl87n5j6e3K9kD1N6ejq6dOmC5ORkNG7c2BAx6n2uLIsFlaOiUBWQaw46ub9bMf7rX8pr0qRJ8jVVq/MtXizXvYyNRdzQoS7/X9teVzOmT0fVqVPlna+/LkczXI0xJ0f2cJSzMLDd3ysjA2jdWrZdfV0dO1bpnVq+XPZOlbffmDHK8iTLlgHx8cW2L/U+Y7XKkQRbL3Zyslzaxo6XW7fGa5cuycXbJ01S3ivK8vDDyjI0CxfaX1d07VrgwQdl+/bbgW+/tf97Ocmp/YQA+vW7vs7olblz0fDRR51+XTWbzWY46GHSfA5T9s6dosA2zlinjrwqriz5+cWumBtY8tJO9fIeZYwPt23bVvlGfQXVlCmlN/7rr+vVpy8HBckxVhcVO5/aLbco51aVUSh3PsbWrco+AwY4f66KxGibi1DGlSl29zl/XpmHZm/5FWdjVJdpSEys8ByV78LC5Lyff/zDpb+dUzGq5xXs3ev8fhU5lxByMua18+VOmlThOTsejVGn/U6dOiUAiFOO5khocC539vPmuSwWi0i2PT+rVnV6LqJbMapr8nz+ucfOV9HHA4DIV1844WQVdM1iVL+ulbHUVZnn+uYbZd9x48rfLytLqVtUt67deVp2X1NffdWpuZm/2VZkAJTL/svzv/8p299+u/1t1Fcfrl5t//cqKS1NLnV17lypHzn9N1u79vp5C1u3FpVce111mAdpu/iuEKjy9NPKxKhJk+RcoLJUriwXEOzXD9i0CQOfekr5mdUqx0ptnn/e7iESEhKUbwYOVMafP/pIfnJQKyoCHn8cqFMHx3r2BFz8NA8ACf/8Z+k7jx27ntWiQwegUyfnDta9OxAVJdsbNsheGPW51L+bKzHa2+/uu5W2epHK8vZZu1aZh9anj/PnKkm9YOfmzY63L8NtwcFyjtFnn9nt7SqLUzHaFuEFZC+ls/tV5FyAnBPyyivAmDEouuUWl8/j8vnc3EeP/bx5Ll94HE/YGlevAufOefRcCQkJslf5+eflQttOznv05uMIAMHbtslGzZpOLwysWYw5OXL+E1DmYuRlnqt/f6BzZ+Dll+WoR3n7ffutMr9x6FDn51iNGqW0FyxQXsvVDh5EF9tC8G3ayPckR/r0UXrWNm+WvVdqO3YAmzbJdsuWci7wNWU+Hl9+KV8T33hDLvprk50NnDzp/N+sXz+ga1cAQPChQ3Dc3+giZ7Iq4WwPU2amKOzYUQhAFEVFOXdVRVmflObOVTLUXr2cOr0QovhlsB9+aH+bK1dcW7TXYpHLjHTqVHZV0oMH5dUaCxeW2NVBb4q6CGV5Jf2nTJG9bIsXV+yqh717lfP06+fcPkOHKvts2eL6OW0KC2Vl22tXTFouXXK9R0W9AGlZn2rcoa76W161Xg/gVWHFudPD5K8sFotItD0/ASF++UXvkHRlsVhES/XjUVaRYFdduOBabajCQtkro+VamSUNGKD8nlu32t2kzNeQPn3Kfw1X15ByZbkWddHd0aOL/+zee5WfOVtY+cQJpYhoaKgQx4/L+597TpZreOGF8ker1JKSro+MfKhxD5PmQ3K5OTli9YABIt+dRVFXrFAKaAFC/Pij8/uqE4MmTZx/kMuj7j4dONClXXNzc8W0adNEblll8NXx9uhhf5uiIvm7ALLUgSvJno16eZPKlR0PaeXnK0lO7dru11BSrSuXt3dv+Y+JPerLqrWoOFxSSopy/MGDtT9+ORw+RwLMuXPnBABxzk7XfKDKzc0V6++8U3mOlndZua9IS5OFHidPdvl1Ojc3V3w7eLDyeMyY4V4sx48L0aWLfKPVviBixf31l5JIREWVmZiV+Rry+efKY1RytYVz55SSMzVrujZF5dIlpShxUJCyNuyPPyrna9BA1gF0lrroc6dOcmkt25SQkBC52K6z3nxT5P3wg6uvq95PmNyWmqqscg+4Xg1VCJnU2PZ/+GH5QLvzCaDEXCvNCrgJIROZmBjl2PZWg1aPGbuznpN6WZqVK8vfVv3EHz684ue0eftt53rSyqKuP6XFIqAlFRXJJXdCQ52vp0IewR63Mtjqx9Ws6Z0lkTxNvRC5Kx+KbR5+WNm/Imt+ql29qswTatDAsz1Grjp5Ui42W9aISXlyc5XaSSWLNE+bpjx+kya5fuzp0+W+99wjixvn5grRsqXrvUs2FouyikXJm5YLNZfNBxMm9SS+W2+t2PDTsWPFky5ADi+58wk+MVE5Vs+e8h/q3Lniy7RU1LvvKseeMKH0z9VdnEuWVPw8v/4qn3i//+540uikSdp+mt2xQzmeo7L79tx2m7J/Wpr78dhz8qQ21cidcfSodgXl/AwTpjJcvix7l71RfDYjQz5HPZk4qBdRdbWHyGoVIjJS7lutmjZFbNU9Vr/+WvZ2hYXaVplOSZFDTu4vHmvfm2/KRGTVKuW5c/q0MooTFFSxlQauXpU9hOrn48KF8nhxcRV77uzfLye2q9+7R4/2VsFlH0uYCgvlH3fsWJmdulP9eOlSWY1U/cBXJIu2uXpVLphrO9YDDwjRrZsctvr0U/f+oBcvKp9uSlZmPX5cPgEBWanbWxWhbYsaBwfL+NxVUKAsCeDqopv5+crj07Sp+7HoLT9f+Zveeafe0RgOEyYDsC0ZUrWqXIDXE5KTlddTV1dGsFqF2LBBLrPy1FPaxDN/vhJPefMY//c/+boYHy/EDz+4d879+5Vhpy5dPJMYXLlSfGjsyhW5rJbtdx0/XtvzLV8uP3xW1OnTcs7uyJFCfPaZN3v7fCxh0tqPP8qFHtu3l/8Ajtb5ceZ49roLw8PdTyrGjhWie/fSkznV3dbe6ZaUw4K2c952m3bHVQ+V2ht6LIt6+YG//U27ePSini913316R2M4TJgMQD3cda3MhuaKipR5kg0b6r9s07lzygeZVq3Kjkc9UXrpUvfOabXK9yfb8WyX4BcVyflLnnLrrfJ8TZpUbE6sf3KYB2lbVsBoeveWl+v//jswY4ZLl6KXebx584qX3q9VS172qV66oCJmzZKFz65dEglAXp45d65sV68OPPKIe+dw1qJFSltdjsBdt92mtH/6yfn91AXhunXTLh692IrJAUDTprqFQVQm25IoQUHKJeRaCwoCbCU10tOB48c9cx5n1asH9Ool24cPA/aKaRYUKAUkq1WTy5y4w2QqXhD0qafkkh+zZ8uSM1OmOF1CwiWNG8vCzqtWKaURyCGvJEx5eXno2LEjTCYT9u7d641Tes7YsTIBe+MNWQX7yBHnaldcc/fddyMqKgpVqlRBw4YNMWLECJw5cwaoUaN4pdn0dFn91XqtwPpLLwH162vzO5w4IavixsXZX4NvzBhZfyUqCnjoIW3OCciKr5Ury7WTatfGiRMnMHbsWERHR6Nq1apo3rw5pk2bhvz8/OL7qWs3qZMureXmAi++KCvXjh/vufOo3xiaNy/2o+nTp6N79+6oVq0aatWq5bkYyCds2bIFgwcPRqNGjWAymfDrCy/IatZ33SXXhvSEoiLg4EHZbtFCrt3lKbffrrSdqNE2Y8YMxMXFoWbNmqhfvz7uvfdeHDp0SLt4RoxQ2uoPjjbr18v15gD5N3D3QzggX29sieORIzKReeIJWYPozTev14WzZ86cOWjfvj3CwsIQFhaGbt26Ye3atY7POWGCPK4/rCtajhkzZsBkMmGinVpXFeJMN5Rwc0huwoQJYsCAAQKA2LNnjzuH8nkzZ84Uv/zyizhx4oTYtm2b6Natm+jWrVvpDdWTpHv21GZSo824ccqx58wpezutu8gLC4vV5lq7dq0YPXq0WL9+vTh27Jj49ttvRf369cXTTz9dfL+sLLmq99Spnh3PtlqVeVaenCv1wgvK419ifsjLL78sZs6cKSZNmiTMZrPnYjAwDskp1qxZI6ZOnSq++eYbAUAcUU9M3rzZMyc9csR7Q8bbtinnevhhh5v369dPfPXOOyLtxRdF8rffikEDB4qoqChx2d3pFjaXLsm6P4BcqaJkLUF1TaRVq7Q5pxBygr3ZXHq6xxNPlLvbqlWrxPfffy8OHTokDh06JF544QVRuXJlsX//fu1i81E7duwQzZo1E+3btxdPPvmkM7voP4dpzZo1ok2bNuLAgQNMmOz49ttvhclkEvklJ3MvXy7/PIMHaz+WvXu38g/ZqpX3JpI74a233hLR0dH6BaBe4iY72zPnePBB5Rx//ml3kwULFjBhYsJUDADx+9ixynNnwQLPnGjlSuUcZSz5oZm8POWK5iZNnPuQprpiOeuNNwQA8dNPP2kX04gRyu8/a5Zy//79yv1Nm8oPgFrasUOIm26Sxw8JkR+sKvABsXbt2mLevHnaxuZjsrOzRcuWLcXGjRvFbbfdplnC5NEhubNnz+KRRx7BZ599hmrVqnnyVD7p4sWLWLx4Mbp3747KJcvd33GHHJZbtUrOk9LSzTcDt94q24cPK/OkbOX3dWSxWFCnTh39AmjXTmmXLPmvlWPH5FeTSS4HQOSkKxERyjcpKZ45iW3+ElBqsXPNhYTIIXoAOH3auXlMP/xwvXmpbVsA0PY149ln5df4+OsLZEMIOZ/I5okngOBg7c4JyHP9/rt8HP76C5g+vfh8WQeKioqwZMkS5OTkoJs/zPV0Q0JCAgYNGoQ777xT0+N6LGESQmD06NEYP348Onfu7KnT+KTnnnsO1atXR926dZGamopvr63kXExYGNCggeeCeOstpf3ii8DKlXItpokTS6/B5wlCyNW+VY4dO4YPPvgA4z05f8gR9RuE+o1DS7Y3hSZNgNBQz5zDByUmJiImJgZxtjcpKiVHPY9RffGAltTP+5gYz5xDrW9feTHHlCkygSpPYeH1dcpE7dp4Yv589OzZE+3UH3Tc1a6d/CC5fr2cnyqEfL20rcHZqBFgb01RLZhMckK2Cx0M+/btQ40aNRAaGorx48djxYoViPHG382glixZgt27d2PGjBnaH9yZbiihGpKbNm2aAFDuLSkpSbz//vuie/fuovBat2VKSorfDsk5+5jYnD9/Xhw6dEhs2LBB9OjRQwwcOFBY9bikVt31rL4NHerWYR09HnMBkV+njizHcO35kZaWJlq0aCHGjh2rHCg/XxYtmzevYoXVKmL9euVxKDmXqoLUj0eY6nH+sYznhxAckgOH5EoBIFZ98YXy/HRljU1XXFsPVAQHu1fs1xM2bbr+++9q3lw0bdrU82sOWq1C9O6tPO7Llnn2fC7Ky8sTR44cEUlJSeL5558X4eHh4sCBA3qHpYvU1FRRv359sVdVCkPLITmTEMLp3AoALly4gAsXLpS7YbNmzfDggw/iu+++g0l15VdRURGCg4Px0EMP4dNPP3X2vIbn7GNSxc7VJqdPn0ZkZCS2b9/u/W7UrCxZKmH3buW+Jk2ArVvdGipy9Hg0njABNTdulN9s24YzzZqhd+/euOWWW7Bw4UIE2bqht25Vhg4ffFCuaO1paWnyMQDkiuLOXHHigPrxCE1ORvT99wMALg0Zgozp0wGUfn4sXLgQEydOxKVLl9w+v6/JysqC2WyGxWJBWFiY3uEYhslkwooVK3DvI48AFy7I5+mpU9qeRAggIgI4f16WE/jzT22P766JE+XVyQAer1MHT+/ciejoaM+f99AhoH17YNIkWaLGwO688040b94cH3/8sd6heN3KlStx3333IVg1XFpUVASTyYSgoCDk5eUV+1kJprJ+YFPJ1YDCw8MRHh7ucLv//Oc/eP31169/f+bMGfTr1w9Lly7FLbZLKP2Es4+JPbaENS8vT8uQnBMWJpOSDz4AfvtNvkBOmiTrkbjB4eMxfDhwLWHKXrwYt2/ciNjYWCxYsEBJlgA5f8tm4EC3YnJao0aA2QxYLJoNyRV7PFq3lm92x4+jVvXqqNWmjSbnoAASHS2fQ2lpQF6etsO6JhNw9qxMxBx8CPQ6ISBWroQJQD6ApzZu9E6yBMj/2+TkUmVAjEgIoc/7iQHccccd2FeiDMOYMWPQpk0bPPfcc+UlS05xOWFyVlRUVLHva9SoAQBo3rw5mtg+wQeYHTt2YMeOHejZsydq166N48eP4+WXX0bz5s31m6RXrRrw3HPePefAgXIyo9WKS3PnIrJXL7zzzjs4f/789U0aREQoCVNQkPcSJpNJzmPavl2+aWRlycRSy+PXrVtmsbjU1FRcvHgRqampKCoqul63rEWLFtf/hyhwXL58GUePHr3+fUpKCv6qXRu1AdkblJoKtGyp7UlNJlmDrcRruMcJIes/ZWQAffqU/vnevTCdPAkAuBwXh+qNGiHj2jxIs9mMqlWrejY+AyZLL7zwAgYMGIDIyEhkZ2djyZIl2Lx5M9atW6d3aLqoWbNmqflstvnCWsxz81jCRKVVrVoVy5cvx7Rp05CTk4OGDRuif//+WLJkCUIDafJv/frAnXcCGzYgsrAQVzZtKpVEi7175cRLAOjZ07vVaG0JEyA/Vaqrr3vYyy+/XGy4+uZrheU2bdqE29VF/igg7Ny5E717977+/aRJk5AP4PpHnJQU7RMmPRQUADfdJIe+mjSRE9pL9gasWHG9OTUpCR81bHj9+wULFmD06NHeidVAzp49ixEjRiA9PR1msxnt27fHunXr0LdvX71D80suz2Ei0sSnnwK2F7iEBODDD4v/fPJk4J13ZHv2bOAf//BebCtWyEuX27UD7rlHVt4lr+EcJgdWrACWLJFDcyNHeudKNm+46y7g++9le+NG+aHKpqgIuOEG2aNmMslL7xs10idO8lcO5zAxYSJ9ZGXJyaW5uUDNmvKF0FZvKjcXiIyUcygqV5b1qPxlvaOXX5brDrZtKyeVUylMmHSUkABUrQp06FB8mRBv+OYb4IEHZPtvfwO++EL5WVGRLH3y3/8ClSoBq1d7NzYKBEyYyMAee0wpmvnGG0phuP/+F3j0Udku+cLpywoK5JtRUZEsHqq+OpGuY8Kkk8JCuaZlXh7Qpo2ynpy35OXJXqOLF+Vw3J9/yrXs7MVZibNJSHMOEyavLL5LZNfkyUol23fekdVts7OBV15RtnnySV1C84jUVJksAXJ4gchIjh+XSQvg+Qrf9oSGyrIBgPw/eekl+9sxWSKdMGEi/bRoIXuQqlcH3ntPDlXZ5igAwN13K6t4e5sQ8vLqH3/UrvK5bUkUwJBX3JCPKSqSzylbEu4uby6JUpYnn1SG35csAUaNkiVPiAyACRPpa9YsYOdOOXkVkC/Uu3cD990nkyi9PPOMXJrmjjuAa5f2u8121R9gf6iByFlPPSVLgrRo4dz6a84wQsIUFga8+67y/aJFcjK4+sMGkU6YMJG+wsPlfAm1+vWB5cv1HbZSF8TTak05ddXka4uGElVI9epAfr5sqxNxd6gXm9YrYQJkr9K0acr3Fy7IhWiJdMbBYCJ7PLEIr3oSLSt8kztatVLahw8Dgwa5f0xbheRKlfSv7fTKK8CQIXIlgqZNgQED9I2HCEyYiOzzRMJk62GqW1f2rBFVVOvWSvvQIfePl5+vPD/btAFCQtw/prvat5c3IoPgkByRPfXrK0mNFglTVhZw5oxsczjOrsTERMTExCAuLk7vUIxP3QOkxZDcoUPycn1AVtwmolKYMBGVxdbLlJEBZGa6dyx1LwCH4+xKSEhAcnIykpKS9A7F+OrUURJ6LRIm9YKlTJiI7GLCRFQW9WKN7vYyhYYCw4cDnToBHTu6dywiQBmWS0sDLl9271ht2si6aP366VfKg8jgOIeJqCwl5zHdemvFj9W+PbB4sfsxEdm0agVs2ybbR47I6vEV1amTvBFRmdjDRFQWdQ/TH3/oFweRPSWvlCMij2LCRFQW2xU6lSsDV67oGwtRSeq5cEeO6BcHUYDgkBxRWcxmORm2VSv3LrO2WuXCu6Gh2sVG1KsXsG6dTOwbNKj4cTIy5PI/N9ygLEtERKWwh4moPO3auV+T5tgxuYxFy5bAm29qExdR3bpyknbDhu4lOvPnyyVWatcGNmzQLj4iP8OEicjTDhyQvUxHj2q3kC+RVvbskV8tFqBJE31jITIwJkxEnqZevLdDB93CILLLljBVrVq8gjgRFcM5TETlKSoC/v1vYPduueDpp5+6fozff1farMFEWsrIANaskVdx3nEHMHiwa/tbLMDx47LdoQMQHKx9jER+ggkTUXmCg4HERLmsSa1agBCuzxex9TDVqCEn1hJp5ehRYOxY2c7Lcz1hUvd+ulPHiSgAcEiOyBHbG8mlS8CJE67tq96nfXsgiP9ypCH1MiYVqRVmG44DmDAROcBXbyJH1G8ku3a5tq/6TYzzl0hrZjPQtKls79snLy5wxe7dSpsJE1G5mDAROaJeW+uXX1zbl/OXnJaYmIiYmBjExcXpHYpvsRVYzc52vQd0xw75tXLl4pXtiagUJkxEjnTtqrS3b3dtX/UcESZM5UpISEBycjKSkpL0DsW3qHsuXRmWu3gROHRItjt1AqpU0TYuIj/DhInIkfBw5XLrXbuA3Fzn97W9gQUF8RM8eYathwkoPifJkePHZbFKoPiHAiKyi1fJETmje3f5abygQCZNPXo4t9+WLXL7Q4dktW8iramHMH/7zfn9OncGLlyQ69C5W82eKACwh4nIGd27K21XhuWqVgV69lQu/SbSWtOmQESEbP/2m2sTv4OCZO9pdLRnYiPyI0yYiJxR0YSJyNNMJmVI7dIl2WNERJrjkByRM9q0AcaNA2Jj5SrxREbSt68sXNm1q6xIT0SaMwkhnN3W6Q2JAp7VCoweLa8+uv12XiHngqysLJjNZlgsFoSFhekdjn967z1g5Ur53Hz0UaBxY70jItKbwyUcmDARecL+/UoV5vvuA5Yv1zceH8KEyQv69wfWr5ftw4eBli31jYdIfw4TJs5hIvKEH39U2ur5T0R6u3IF+Okn2W7cGGjRQt94iHwEEyYiV+TnAz/8ADzzjKysXJZ165R2fLzn4/KAv/76CyNGjIDZbIbZbMaIESNw6dKlMrcvKCjAc889h5tuugnVq1dHo0aNMHLkSJw5c8Z7QQc6q1VeKbdzZ9nbbNqk1BIbOND1xaSJAhQTJiJXTJ4M3Hkn8O67MnGy5+pVYPNm2W7UqPgCqT5k+PDh2Lt3L9atW4d169Zh7969GDFiRJnbX7lyBbt378ZLL72E3bt3Y/ny5Th8+DDuvvtuL0YdwE6ckM+3rl2B118ve7vVq5X2oEEeD4vIX3AOE5Ervv8euOsu2R43Dvjvf0tvs2aN8kb0978D8+d7Lz6NHDx4EDExMfj1119xy7W19H799Vd069YNf/75J1rbKp87kJSUhC5duuDkyZOIiopyah/OYaogq1UmTGfPyvpfmZnya8ltoqKAtDQgNFQWrqxRQ594iYyFc5iINNW7t7Lm1sqVcoiupCVLlLYtufIxv/zyC8xm8/VkCQC6du0Ks9mM7S7UobJYLDCZTKhVq5YHoqRigoKU59vVq8qkbrWtW2WyBMieUiZLRE5jwkTkimrVANsQ04ULxecqAfKNasUK2TabgQEDvBufRjIyMlC/fv1S99evXx8ZGRlOHSM3NxfPP/88hg8fXm5PUV5eHrKysordqIKGDFHan35a+ueffaa0H37Y8/EQ+REmTESuGjVKac+eXfxnS5YAly/L9pAhhlsB/pVXXoHJZCr3tvPahGGTncnAQgi795dUUFCABx98EFarFbNLPkYlzJgx4/rEcrPZjMjIyIr9ciQvMGjYULZXrwbUyW1mJvDll7Jdo4aS+BORU5gwEbkqPl5Ze2v9+uIrxC9apLQfecS7cTnh8ccfx8GDB8u9tWvXDg0aNMDZs2dL7X/+/HlE2NYtK0NBQQGGDh2KlJQUbNy40eE8pClTpsBisVy/nTp1yq3fMaBVqqQk9IWF8uIEm99/BypXlu0xY7gYNJGLOOmbqCI+/BB44gnZ7tFDXhVXqZK8XHvRIrne3MKFekboFtuk799++w1dunQBAPz222/o2rVruZO+bcnSkSNHsGnTJtSrV8/lc3PSt5vOnAGaN5fPxSpVZKLUqpX8WVaWvFBhyBAuuEtUHCt9E3lEXp4sF2Bb6PTDD4GEBH1j0tiAAQNw5swZfPzxxwCARx99FE2bNsV33313fZs2bdpgxowZuO+++1BYWIj7778fu3fvxurVq4v1RNWpUwchISFOnZcJkwaefhqYOVO2IyOBLVuAZs10DYnI4HiVHJFHhIYC8+YBtiSgd2994/GAxYsX46abbkJ8fDzi4+PRvn17fKaeNAzg0KFDsFgsAIDTp09j1apVOH36NDp27IiGDRtev7lyZR1p4NVXgRtvlG2zGWjSRN94iPwAe5iI3LFuHfDKK8Avv7BiskbYw6SRkyeB4cOB6dPlIrtEVB4OyRF5nBBMljTEhElDfG4SOYtDckQexzckMio+N4k0w4SJiIiIyAEmTEREREQOMGEiIiIicoAJExEREZEDrlwlR0TkcSaTKQyABYBZCMGVeInIEJgwEZGhmOTqvjUBZAu+QBGRQTBhIiIiInKAc5iIiIiIHGDCREREROQAEyYiIiIiB5gwERERETnAhImIiIjIASZMRERERA4wYSIiIiJy4P8BLDnj1lYFV7sAAAAASUVORK5CYII=\n",
      "text/plain": [
       "Graphics object consisting of 1 graphics primitive"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g2 = plot(sin(3*x^2)/(3*x^2), (x,-4,4), color='red', linestyle='--',\n",
    "          thickness=2); g2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "Gráficos podem ser \"somados\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "Graphics object consisting of 2 graphics primitives"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g1+g2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "Graphics object consisting of 2 graphics primitives"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show(g1+g2, gridlines=True, title='Título', frame=True, axes=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "Graphics object consisting of 2 graphics primitives"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show(g1+g2, gridlines=True, aspect_ratio=2, title='Título',\n",
    "     frame=True, axes=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "O gráfico pode ser exportado em vários formatos (.pdf, .png, .ps, .eps, .svg e .sobj) usando o comando `save`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "(g1+g2).save('plot_sage.pdf', gridlines=True, title='Título', frame=True, axes=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##  2. Gráficos 3D"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "A sintáxe é bem parecida com a de gráficos 2D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}y</script></html>"
      ],
      "text/latex": [
       "\\begin{math}\n",
       "\\newcommand{\\Bold}[1]{\\mathbf{#1}}y\n",
       "\\end{math}"
      ],
      "text/plain": [
       "y"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "var('y')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<iframe srcdoc=\"<!DOCTYPE html>\n",
       "<html>\n",
       "<head>\n",
       "<title></title>\n",
       "<meta charset=&quot;utf-8&quot;>\n",
       "<meta name=viewport content=&quot;width=device-width, user-scalable=no, minimum-scale=1.0, maximum-scale=1.0&quot;>\n",
       "<style>\n",
       "\n",
       "    body { margin: 0px; overflow: hidden; }\n",
       "\n",
       "    #menu-container { position: absolute; bottom: 30px; right: 40px; cursor: default; }\n",
       "\n",
       "    #menu-message { position: absolute; bottom: 0px; right: 0px; white-space: nowrap;\n",
       "                    display: none; background-color: #F5F5F5; padding: 10px; }\n",
       "\n",
       "    #menu-content { position: absolute; bottom: 0px; right: 0px;\n",
       "                    display: none; background-color: #F5F5F5; border-bottom: 1px solid black;\n",
       "                    border-right: 1px solid black; border-left: 1px solid black; }\n",
       "\n",
       "    #menu-content div { border-top: 1px solid black; padding: 10px; white-space: nowrap; }\n",
       "\n",
       "    #menu-content div:hover { background-color: #FEFEFE;; }\n",
       "\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "\n",
       "<body>\n",
       "\n",
       "<script src=&quot;/nbextensions/threejs/build/three.min.js&quot;></script>\n",
       "<script src=&quot;/nbextensions/threejs/examples/js/controls/OrbitControls.js&quot;></script>\n",
       "<script>\n",
       "  if ( !window.THREE ) document.write(' \\\n",
       "<script src=&quot;https://cdn.jsdelivr.net/gh/mrdoob/three.js@r117/build/three.min.js&quot;><\\/script> \\\n",
       "<script src=&quot;https://cdn.jsdelivr.net/gh/mrdoob/three.js@r117/examples/js/controls/OrbitControls.js&quot;><\\/script> \\\n",
       "            ');\n",
       "</script>\n",
       "        \n",
       "<script>\n",
       "\n",
       "    var scene = new THREE.Scene();\n",
       "\n",
       "    var renderer = new THREE.WebGLRenderer( { antialias: true, preserveDrawingBuffer: true } );\n",
       "    renderer.setPixelRatio( window.devicePixelRatio );\n",
       "    renderer.setSize( window.innerWidth, window.innerHeight );\n",
       "    renderer.setClearColor( 0xffffff, 1 );\n",
       "    document.body.appendChild( renderer.domElement );\n",
       "\n",
       "    var options = {&quot;animate&quot;: false, &quot;animationControls&quot;: true, &quot;aspectRatio&quot;: [1.0, 1.0, 1.0], &quot;autoPlay&quot;: true, &quot;axes&quot;: false, &quot;axesLabels&quot;: [&quot;x&quot;, &quot;y&quot;, &quot;z&quot;], &quot;decimals&quot;: 2, &quot;delay&quot;: 20, &quot;frame&quot;: true, &quot;loop&quot;: true, &quot;projection&quot;: &quot;perspective&quot;, &quot;viewpoint&quot;: false};\n",
       "    var animate = options.animate;\n",
       "\n",
       "    var b = [{&quot;x&quot;:-2.0, &quot;y&quot;:-2.0, &quot;z&quot;:0.00033546262790251185}, {&quot;x&quot;:2.0, &quot;y&quot;:2.0, &quot;z&quot;:0.9947541104226362}]; // bounds\n",
       "\n",
       "    if ( b[0].x === b[1].x ) {\n",
       "        b[0].x -= 1;\n",
       "        b[1].x += 1;\n",
       "    }\n",
       "    if ( b[0].y === b[1].y ) {\n",
       "        b[0].y -= 1;\n",
       "        b[1].y += 1;\n",
       "    }\n",
       "    if ( b[0].z === b[1].z ) {\n",
       "        b[0].z -= 1;\n",
       "        b[1].z += 1;\n",
       "    }\n",
       "\n",
       "    var rRange = Math.sqrt( Math.pow( b[1].x - b[0].x, 2 )\n",
       "                            + Math.pow( b[1].y - b[0].y, 2 ) );\n",
       "    var xRange = b[1].x - b[0].x;\n",
       "    var yRange = b[1].y - b[0].y;\n",
       "    var zRange = b[1].z - b[0].z;\n",
       "\n",
       "    var ar = options.aspectRatio;\n",
       "    var a = [ ar[0], ar[1], ar[2] ]; // aspect multipliers\n",
       "    var autoAspect = 2.5;\n",
       "    if ( zRange > autoAspect * rRange && a[2] === 1 ) a[2] = autoAspect * rRange / zRange;\n",
       "\n",
       "    // Distance from (xMid,yMid,zMid) to any corner of the bounding box, after applying aspectRatio\n",
       "    var midToCorner = Math.sqrt( a[0]*a[0]*xRange*xRange + a[1]*a[1]*yRange*yRange + a[2]*a[2]*zRange*zRange ) / 2;\n",
       "\n",
       "    var xMid = ( b[0].x + b[1].x ) / 2;\n",
       "    var yMid = ( b[0].y + b[1].y ) / 2;\n",
       "    var zMid = ( b[0].z + b[1].z ) / 2;\n",
       "\n",
       "    var box = new THREE.Geometry();\n",
       "    box.vertices.push( new THREE.Vector3( a[0]*b[0].x, a[1]*b[0].y, a[2]*b[0].z ) );\n",
       "    box.vertices.push( new THREE.Vector3( a[0]*b[1].x, a[1]*b[1].y, a[2]*b[1].z ) );\n",
       "    var boxMesh = new THREE.Line( box );\n",
       "    if ( options.frame ) scene.add( new THREE.BoxHelper( boxMesh, 'black' ) );\n",
       "\n",
       "    if ( options.axesLabels ) {\n",
       "\n",
       "        var d = options.decimals; // decimals\n",
       "        var offsetRatio = 0.1;\n",
       "        var al = options.axesLabels;\n",
       "\n",
       "        var offset = offsetRatio * a[1]*( b[1].y - b[0].y );\n",
       "        var xm = xMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(xm) ) xm = xm.substr(1);\n",
       "        addLabel( al[0] + '=' + xm, a[0]*xMid, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[0].x ).toFixed(d), a[0]*b[0].x, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].x ).toFixed(d), a[0]*b[1].x, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "\n",
       "        var offset = offsetRatio * a[0]*( b[1].x - b[0].x );\n",
       "        var ym = yMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(ym) ) ym = ym.substr(1);\n",
       "        addLabel( al[1] + '=' + ym, a[0]*b[1].x+offset, a[1]*yMid, a[2]*b[0].z );\n",
       "        addLabel( ( b[0].y ).toFixed(d), a[0]*b[1].x+offset, a[1]*b[0].y, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].y ).toFixed(d), a[0]*b[1].x+offset, a[1]*b[1].y, a[2]*b[0].z );\n",
       "\n",
       "        var offset = offsetRatio * a[1]*( b[1].y - b[0].y );\n",
       "        var zm = zMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(zm) ) zm = zm.substr(1);\n",
       "        addLabel( al[2] + '=' + zm, a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*zMid );\n",
       "        addLabel( ( b[0].z ).toFixed(d), a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].z ).toFixed(d), a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*b[1].z );\n",
       "\n",
       "    }\n",
       "\n",
       "    function addLabel( text, x, y, z, color='black', fontSize=14, fontFamily='monospace',\n",
       "                       fontStyle='normal', fontWeight='normal', opacity=1 ) {\n",
       "\n",
       "        var canvas = document.createElement( 'canvas' );\n",
       "        var context = canvas.getContext( '2d' );\n",
       "        var pixelRatio = Math.round( window.devicePixelRatio );\n",
       "\n",
       "        var font = [fontStyle, fontWeight, fontSize + 'px', fontFamily].join(' ');\n",
       "\n",
       "        context.font = font;\n",
       "        var width = context.measureText( text ).width;\n",
       "        var height = fontSize;\n",
       "\n",
       "        // The dimensions of the canvas's underlying image data need to be powers\n",
       "        // of two in order for the resulting texture to support mipmapping.\n",
       "        canvas.width = THREE.MathUtils.ceilPowerOfTwo( width * pixelRatio );\n",
       "        canvas.height = THREE.MathUtils.ceilPowerOfTwo( height * pixelRatio );\n",
       "\n",
       "        // Re-compute the unscaled dimensions after the power of two conversion.\n",
       "        width = canvas.width / pixelRatio;\n",
       "        height = canvas.height / pixelRatio;\n",
       "\n",
       "        canvas.style.width = width + 'px';\n",
       "        canvas.style.height = height + 'px';\n",
       "\n",
       "        context.scale( pixelRatio, pixelRatio );\n",
       "        context.fillStyle = color;\n",
       "        context.font = font; // Must be set again after measureText.\n",
       "        context.textAlign = 'center';\n",
       "        context.textBaseline = 'middle';\n",
       "        context.fillText( text, width/2, height/2 );\n",
       "\n",
       "        var texture = new THREE.Texture( canvas );\n",
       "        texture.needsUpdate = true;\n",
       "\n",
       "        var materialOptions = { map: texture, sizeAttenuation: false };\n",
       "        if ( opacity < 1 ) {\n",
       "            // Setting opacity=1 would cause the texture's alpha component to be\n",
       "            // discarded, giving the text a black background instead of the\n",
       "            // background being transparent.\n",
       "            materialOptions.opacity = opacity;\n",
       "        }\n",
       "        var sprite = new THREE.Sprite( new THREE.SpriteMaterial( materialOptions ) );\n",
       "        sprite.position.set( x, y, z );\n",
       "\n",
       "        // Scaling factor, chosen somewhat arbitrarily so that the size of the text\n",
       "        // is consistent with previously generated plots.\n",
       "        var scale = 1/625;\n",
       "        if ( options.projection === 'orthographic' ) {\n",
       "            scale = midToCorner/256; // Needs to scale along with the plot itself.\n",
       "        }\n",
       "        sprite.scale.set( scale * width, scale * height, 1 );\n",
       "\n",
       "        scene.add( sprite );\n",
       "\n",
       "        return sprite;\n",
       "\n",
       "    }\n",
       "\n",
       "    if ( options.axes ) scene.add( new THREE.AxesHelper( Math.min( a[0]*b[1].x, a[1]*b[1].y, a[2]*b[1].z ) ) );\n",
       "\n",
       "    var camera = createCamera();\n",
       "    camera.up.set( 0, 0, 1 );\n",
       "    camera.position.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "\n",
       "    var offset = new THREE.Vector3( a[0]*xRange, a[1]*yRange, a[2]*zRange );\n",
       "\n",
       "    if ( options.viewpoint ) {\n",
       "\n",
       "        var aa = options.viewpoint;\n",
       "        var axis = new THREE.Vector3( aa[0][0], aa[0][1], aa[0][2] ).normalize();\n",
       "        var angle = aa[1] * Math.PI / 180;\n",
       "        var q = new THREE.Quaternion().setFromAxisAngle( axis, angle ).inverse();\n",
       "\n",
       "        offset.set( 0, 0, offset.length() );\n",
       "        offset.applyQuaternion( q );\n",
       "\n",
       "    }\n",
       "\n",
       "    camera.position.add( offset );\n",
       "\n",
       "    function createCamera() {\n",
       "\n",
       "        var aspect = window.innerWidth / window.innerHeight;\n",
       "\n",
       "        if ( options.projection === 'orthographic' ) {\n",
       "            var camera = new THREE.OrthographicCamera( -1, 1, 1, -1, -1000, 1000 );\n",
       "            updateCameraAspect( camera, aspect );\n",
       "            return camera;\n",
       "        }\n",
       "\n",
       "        return new THREE.PerspectiveCamera( 45, aspect, 0.1, 1000 );\n",
       "\n",
       "    }\n",
       "\n",
       "    function updateCameraAspect( camera, aspect ) {\n",
       "\n",
       "        if ( camera.isPerspectiveCamera ) {\n",
       "            camera.aspect = aspect;\n",
       "        } else if ( camera.isOrthographicCamera ) {\n",
       "            // Fit the camera frustum to the bounding box's diagonal so that the entire plot fits\n",
       "            // within at the default zoom level and camera position.\n",
       "            if ( aspect > 1 ) { // Wide window\n",
       "                camera.top = midToCorner;\n",
       "                camera.right = midToCorner * aspect;\n",
       "            } else { // Tall or square window\n",
       "                camera.top = midToCorner / aspect;\n",
       "                camera.right = midToCorner;\n",
       "            }\n",
       "            camera.bottom = -camera.top;\n",
       "            camera.left = -camera.right;\n",
       "        }\n",
       "\n",
       "        camera.updateProjectionMatrix();\n",
       "\n",
       "    }\n",
       "\n",
       "    var lights = [{&quot;x&quot;:-5, &quot;y&quot;:3, &quot;z&quot;:0, &quot;color&quot;:&quot;#7f7f7f&quot;, &quot;parent&quot;:&quot;camera&quot;}];\n",
       "    for ( var i=0 ; i < lights.length ; i++ ) {\n",
       "        var light = new THREE.DirectionalLight( lights[i].color, 1 );\n",
       "        light.position.set( a[0]*lights[i].x, a[1]*lights[i].y, a[2]*lights[i].z );\n",
       "        if ( lights[i].parent === 'camera' ) {\n",
       "            light.target.position.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "            scene.add( light.target );\n",
       "            camera.add( light );\n",
       "        } else scene.add( light );\n",
       "    }\n",
       "    scene.add( camera );\n",
       "\n",
       "    var ambient = {&quot;color&quot;:&quot;#7f7f7f&quot;};\n",
       "    scene.add( new THREE.AmbientLight( ambient.color, 1 ) );\n",
       "\n",
       "    var controls = new THREE.OrbitControls( camera, renderer.domElement );\n",
       "    controls.target.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "    controls.addEventListener( 'change', function() { if ( !animate ) render(); } );\n",
       "\n",
       "    window.addEventListener( 'resize', function() {\n",
       "\n",
       "        renderer.setSize( window.innerWidth, window.innerHeight );\n",
       "        updateCameraAspect( camera, window.innerWidth / window.innerHeight );\n",
       "        if ( !animate ) render();\n",
       "\n",
       "    } );\n",
       "\n",
       "    var texts = [];\n",
       "    for ( var i=0 ; i < texts.length ; i++ ) addText( texts[i] );\n",
       "\n",
       "    function addText( json ) {\n",
       "        json.fontFamily = json.fontFamily.map( function( f ) {\n",
       "            // Need to put quotes around fonts that have whitespace in their names.\n",
       "            return /\\s/.test( f ) ? '&quot;' + f + '&quot;' : f;\n",
       "        }).join(', ');\n",
       "        var sprite = addLabel( json.text, a[0]*json.x, a[1]*json.y, a[2]*json.z, json.color,\n",
       "                               json.fontSize, json.fontFamily, json.fontStyle, json.fontWeight,\n",
       "                               json.opacity );\n",
       "        sprite.userData = json;\n",
       "    }\n",
       "\n",
       "    var points = [];\n",
       "    for ( var i=0 ; i < points.length ; i++ ) addPoint( points[i] );\n",
       "\n",
       "    function addPoint( json ) {\n",
       "\n",
       "        var geometry = new THREE.Geometry();\n",
       "        var v = json.point;\n",
       "        geometry.vertices.push( new THREE.Vector3( a[0]*v[0], a[1]*v[1], a[2]*v[2] ) );\n",
       "\n",
       "        var canvas = document.createElement( 'canvas' );\n",
       "        canvas.width = 128;\n",
       "        canvas.height = 128;\n",
       "\n",
       "        var context = canvas.getContext( '2d' );\n",
       "        context.arc( 64, 64, 64, 0, 2 * Math.PI );\n",
       "        context.fillStyle = json.color;\n",
       "        context.fill();\n",
       "\n",
       "        var texture = new THREE.Texture( canvas );\n",
       "        texture.needsUpdate = true;\n",
       "\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var size = camera.isOrthographicCamera ? json.size : json.size/100;\n",
       "        var material = new THREE.PointsMaterial( { size: size, map: texture,\n",
       "                                                   transparent: transparent, opacity: json.opacity,\n",
       "                                                   alphaTest: .1 } );\n",
       "\n",
       "        var c = new THREE.Vector3();\n",
       "        geometry.computeBoundingBox();\n",
       "        geometry.boundingBox.getCenter( c );\n",
       "        geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "        var mesh = new THREE.Points( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        mesh.userData = json;\n",
       "        scene.add( mesh );\n",
       "\n",
       "    }\n",
       "\n",
       "    var lines = [];\n",
       "    for ( var i=0 ; i < lines.length ; i++ ) addLine( lines[i] );\n",
       "\n",
       "    function addLine( json ) {\n",
       "\n",
       "        var geometry = new THREE.Geometry();\n",
       "        for ( var i=0 ; i < json.points.length ; i++ ) {\n",
       "            var v = json.points[i];\n",
       "            geometry.vertices.push( new THREE.Vector3( a[0]*v[0], a[1]*v[1], a[2]*v[2] ) );\n",
       "        }\n",
       "\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var material = new THREE.LineBasicMaterial( { color: json.color, linewidth: json.linewidth,\n",
       "                                                      transparent: transparent, opacity: json.opacity } );\n",
       "\n",
       "        var c = new THREE.Vector3();\n",
       "        geometry.computeBoundingBox();\n",
       "        geometry.boundingBox.getCenter( c );\n",
       "        geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "        var mesh = new THREE.Line( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        mesh.userData = json;\n",
       "        scene.add( mesh );\n",
       "\n",
       "    }\n",
       "\n",
       "    var surfaces = [{&quot;vertices&quot;: [{&quot;x&quot;: -2.0, &quot;y&quot;: -2.0, &quot;z&quot;: 0.00033546262790251185}, {&quot;x&quot;: -2.0, &quot;y&quot;: -1.8974358974358974, &quot;z&quot;: 0.0005003198395856127}, {&quot;x&quot;: -1.8974358974358974, &quot;y&quot;: -1.8974358974358974, &quot;z&quot;: 0.000746193230071871}, {&quot;x&quot;: -1.8974358974358974, &quot;y&quot;: -2.0, &quot;z&quot;: 0.0005003198395856127}, {&quot;x&quot;: -2.0, &quot;y&quot;: -1.7948717948717947, &quot;z&quot;: 0.0007306582191407298}, {&quot;x&quot;: -1.8974358974358974, &quot;y&quot;: -1.7948717948717947, &quot;z&quot;: 0.0010897273573455557}, {&quot;x&quot;: -2.0, &quot;y&quot;: -1.692307692307692, &quot;z&quot;: 0.0010448255707463537}, {&quot;x&quot;: -1.8974358974358974, &quot;y&quot;: -1.692307692307692, &quot;z&quot;: 0.0015582867314289236}, {&quot;x&quot;: -2.0, &quot;y&quot;: -1.5897435897435894, &quot;z&quot;: 0.0014629728993658913}, {&quot;x&quot;: -1.8974358974358974, &quot;y&quot;: -1.5897435897435894, &quot;z&quot;: 0.002181925214458027}, {&quot;x&quot;: -2.0, &quot;y&quot;: -1.4871794871794868, &quot;z&quot;: 0.0020058189914510497}, {&quot;x&quot;: -1.8974358974358974, &quot;y&quot;: -1.4871794871794868, &quot;z&quot;: 0.0029915434762891224}, {&quot;x&quot;: -2.0, &quot;y&quot;: -1.3846153846153841, &quot;z&quot;: 0.002692837621948207}, {&quot;x&quot;: -1.8974358974358974, &quot;y&quot;: -1.3846153846153841, &quot;z&quot;: 0.004016185336253791}, {&quot;x&quot;: -2.0, &quot;y&quot;: -1.2820512820512815, &quot;z&quot;: 0.0035399046408604003}, {&quot;x&quot;: -1.8974358974358974, &quot;y&quot;: -1.2820512820512815, &quot;z&quot;: 0.005279528551771594}, {&quot;x&quot;: -2.0, &quot;y&quot;: -1.1794871794871788, &quot;z&quot;: 0.004556547786332322}, {&quot;x&quot;: -1.8974358974358974, &quot;y&quot;: -1.1794871794871788, &quot;z&quot;: 0.0067957831004187945}, {&quot;x&quot;: -2.0, &quot;y&quot;: -1.0769230769230762, &quot;z&quot;: 0.005743058828667317}, {&quot;x&quot;: -1.8974358974358974, &quot;y&quot;: -1.0769230769230762, &quot;z&quot;: 0.008565384137885525}, {&quot;x&quot;: -2.0, &quot;y&quot;: -0.9743589743589737, &quot;z&quot;: 0.007087834530909233}, {&quot;x&quot;: -1.8974358974358974, &quot;y&quot;: -0.9743589743589737, &quot;z&quot;: 0.010571026220376548}, {&quot;x&quot;: -2.0, &quot;y&quot;: -0.8717948717948711, &quot;z&quot;: 0.008565384137885516}, {&quot;x&quot;: -1.8974358974358974, &quot;y&quot;: -0.8717948717948711, &quot;z&quot;: 0.012774691609169109}, {&quot;x&quot;: -2.0, &quot;y&quot;: -0.7692307692307686, &quot;z&quot;: 0.01013545124808429}, {&quot;x&quot;: -1.8974358974358974, &quot;y&quot;: -0.7692307692307686, &quot;z&quot;: 0.015116340601859811}, {&quot;x&quot;: -2.0, &quot;y&quot;: -0.6666666666666661, &quot;z&quot;: 0.011743628457021371}, {&quot;x&quot;: -1.8974358974358974, &quot;y&quot;: -0.6666666666666661, &quot;z&quot;: 0.017514828231410214}, {&quot;x&quot;: -2.0, &quot;y&quot;: 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[1524, 1525, 1565, 1564], [1525, 1526, 1566, 1565], [1526, 1527, 1567, 1566], [1527, 1528, 1568, 1567], [1528, 1529, 1569, 1568], [1529, 1530, 1570, 1569], [1530, 1531, 1571, 1570], [1531, 1532, 1572, 1571], [1532, 1533, 1573, 1572], [1533, 1534, 1574, 1573], [1534, 1535, 1575, 1574], [1535, 1536, 1576, 1575], [1536, 1537, 1577, 1576], [1537, 1538, 1578, 1577], [1538, 1539, 1579, 1578], [1539, 1540, 1580, 1579], [1540, 1541, 1581, 1580], [1541, 1542, 1582, 1581], [1542, 1543, 1583, 1582], [1543, 1544, 1584, 1583], [1544, 1545, 1585, 1584], [1545, 1546, 1586, 1585], [1546, 1547, 1587, 1586], [1547, 1548, 1588, 1587], [1548, 1549, 1589, 1588], [1549, 1550, 1590, 1589], [1550, 1551, 1591, 1590], [1551, 1552, 1592, 1591], [1552, 1553, 1593, 1592], [1553, 1554, 1594, 1593], [1554, 1555, 1595, 1594], [1555, 1556, 1596, 1595], [1556, 1557, 1597, 1596], [1557, 1558, 1598, 1597], [1558, 1559, 1599, 1598]], &quot;color&quot;: &quot;#d3d3d3&quot;, &quot;opacity&quot;: 1.0, &quot;showMeshGrid&quot;: true}];\n",
       "    for ( var i=0 ; i < surfaces.length ; i++ ) addSurface( surfaces[i] );\n",
       "\n",
       "    function addSurface( json ) {\n",
       "\n",
       "        var useFaceColors = 'faceColors' in json ? true : false;\n",
       "\n",
       "        var geometry = new THREE.Geometry();\n",
       "        for ( var i=0 ; i < json.vertices.length ; i++ ) {\n",
       "            var v = json.vertices[i];\n",
       "            geometry.vertices.push( new THREE.Vector3( a[0]*v.x, a[1]*v.y, a[2]*v.z ) );\n",
       "        }\n",
       "        for ( var i=0 ; i < json.faces.length ; i++ ) {\n",
       "            var f = json.faces[i];\n",
       "            for ( var j=0 ; j < f.length - 2 ; j++ ) {\n",
       "                var face = new THREE.Face3( f[0], f[j+1], f[j+2] );\n",
       "                if ( useFaceColors ) face.color.set( json.faceColors[i] );\n",
       "                geometry.faces.push( face );\n",
       "            }\n",
       "        }\n",
       "        geometry.computeVertexNormals();\n",
       "\n",
       "        var side = json.singleSide ? THREE.FrontSide : THREE.DoubleSide;\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var flatShading = json.useFlatShading ? json.useFlatShading : false;\n",
       "\n",
       "        var material = new THREE.MeshPhongMaterial( { side: side,\n",
       "                                     color: useFaceColors ? 'white' : json.color,\n",
       "                                     vertexColors: useFaceColors ? THREE.FaceColors : THREE.NoColors,\n",
       "                                     transparent: transparent, opacity: json.opacity,\n",
       "                                     shininess: 20, flatShading: flatShading } );\n",
       "\n",
       "        var c = new THREE.Vector3();\n",
       "        geometry.computeBoundingBox();\n",
       "        geometry.boundingBox.getCenter( c );\n",
       "        geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "        var mesh = new THREE.Mesh( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        if ( transparent && json.renderOrder ) mesh.renderOrder = json.renderOrder;\n",
       "        mesh.userData = json;\n",
       "        scene.add( mesh );\n",
       "\n",
       "        if ( json.showMeshGrid ) {\n",
       "\n",
       "            var geometry = new THREE.Geometry();\n",
       "\n",
       "            for ( var i=0 ; i < json.faces.length ; i++ ) {\n",
       "                var f = json.faces[i];\n",
       "                for ( var j=0 ; j < f.length ; j++ ) {\n",
       "                    var k = j === f.length-1 ? 0 : j+1;\n",
       "                    var v1 = json.vertices[f[j]];\n",
       "                    var v2 = json.vertices[f[k]];\n",
       "                    // vertices in opposite directions on neighboring faces\n",
       "                    var nudge = f[j] < f[k] ? .0005*zRange : -.0005*zRange;\n",
       "                    geometry.vertices.push( new THREE.Vector3( a[0]*v1.x, a[1]*v1.y, a[2]*(v1.z+nudge) ) );\n",
       "                    geometry.vertices.push( new THREE.Vector3( a[0]*v2.x, a[1]*v2.y, a[2]*(v2.z+nudge) ) );\n",
       "                }\n",
       "            }\n",
       "\n",
       "            var material = new THREE.LineBasicMaterial( { color: 'black', linewidth: 1 } );\n",
       "\n",
       "            var c = new THREE.Vector3();\n",
       "            geometry.computeBoundingBox();\n",
       "            geometry.boundingBox.getCenter( c );\n",
       "            geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "            var mesh = new THREE.LineSegments( geometry, material );\n",
       "            mesh.position.set( c.x, c.y, c.z );\n",
       "            mesh.userData = json;\n",
       "            scene.add( mesh );\n",
       "\n",
       "        }\n",
       "\n",
       "    }\n",
       "\n",
       "    function render() {\n",
       "\n",
       "        if ( window.updateAnimation ) animate = updateAnimation();\n",
       "        if ( animate ) requestAnimationFrame( render );\n",
       "\n",
       "        renderer.render( scene, camera );\n",
       "\n",
       "    }\n",
       "\n",
       "    render();\n",
       "    controls.update();\n",
       "    if ( !animate ) render();\n",
       "\n",
       "\n",
       "    // menu functions\n",
       "\n",
       "    function toggleMenu() {\n",
       "\n",
       "        var m = document.getElementById( 'menu-content' );\n",
       "        if ( m.style.display === 'block' ) m.style.display = 'none'\n",
       "        else m.style.display = 'block';\n",
       "\n",
       "    }\n",
       "\n",
       "\n",
       "    function saveAsPNG() {\n",
       "\n",
       "        var a = document.body.appendChild( document.createElement( 'a' ) );\n",
       "        a.href = renderer.domElement.toDataURL( 'image/png' );\n",
       "        a.download = 'screenshot';\n",
       "        a.click();\n",
       "\n",
       "    }\n",
       "\n",
       "    function saveAsHTML() {\n",
       "\n",
       "        toggleMenu(); // otherwise visible in output\n",
       "        event.stopPropagation();\n",
       "\n",
       "        var blob = new Blob( [ '<!DOCTYPE html>\\n' + document.documentElement.outerHTML ] );\n",
       "        var a = document.body.appendChild( document.createElement( 'a' ) );\n",
       "        a.href = window.URL.createObjectURL( blob );\n",
       "        a.download = 'graphic.html';\n",
       "        a.click();\n",
       "\n",
       "    }\n",
       "\n",
       "    function getViewpoint() {\n",
       "\n",
       "        function roundTo( x, n ) { return +x.toFixed(n); }\n",
       "\n",
       "        var v = camera.quaternion.inverse();\n",
       "        var r = Math.sqrt( v.x*v.x + v.y*v.y + v.z*v.z );\n",
       "        var axis = [ roundTo( v.x / r, 4 ), roundTo( v.y / r, 4 ), roundTo( v.z / r, 4 ) ];\n",
       "        var angle = roundTo( 2 * Math.atan2( r, v.w ) * 180 / Math.PI, 2 );\n",
       "\n",
       "        var textArea = document.createElement( 'textarea' );\n",
       "        textArea.textContent = JSON.stringify( axis ) + ',' + angle;\n",
       "        textArea.style.csstext = 'position: absolute; top: -100%';\n",
       "        document.body.append( textArea );\n",
       "        textArea.select();\n",
       "        document.execCommand( 'copy' );\n",
       "\n",
       "        var m = document.getElementById( 'menu-message' );\n",
       "        m.innerHTML = 'Viewpoint copied to clipboard';\n",
       "        m.style.display = 'block';\n",
       "        setTimeout( function() { m.style.display = 'none'; }, 2000 );\n",
       "\n",
       "    }\n",
       "\n",
       "</script>\n",
       "\n",
       "<div id=&quot;menu-container&quot; onclick=&quot;toggleMenu()&quot;>&#x24d8;\n",
       "<div id=&quot;menu-message&quot;></div>\n",
       "<div id=&quot;menu-content&quot;>\n",
       "<div onclick=&quot;saveAsPNG()&quot;>Save as PNG</div>\n",
       "<div onclick=&quot;saveAsHTML()&quot;>Save as HTML</div>\n",
       "<div onclick=&quot;getViewpoint()&quot;>Get Viewpoint</div>\n",
       "<div>Close Menu</div>\n",
       "</div></div>\n",
       "\n",
       "\n",
       "</body>\n",
       "</html>\n",
       "\"\n",
       "        width=\"100%\"\n",
       "        height=\"400\"\n",
       "        style=\"border: 0;\">\n",
       "</iframe>\n"
      ],
      "text/plain": [
       "Graphics3d Object"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot3d(exp(-(x^2+y^2)), (x,-2,2),(y,-2,2),color='lightgray', mesh=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<iframe srcdoc=\"<!DOCTYPE html>\n",
       "<html>\n",
       "<head>\n",
       "<title></title>\n",
       "<meta charset=&quot;utf-8&quot;>\n",
       "<meta name=viewport content=&quot;width=device-width, user-scalable=no, minimum-scale=1.0, maximum-scale=1.0&quot;>\n",
       "<style>\n",
       "\n",
       "    body { margin: 0px; overflow: hidden; }\n",
       "\n",
       "    #menu-container { position: absolute; bottom: 30px; right: 40px; cursor: default; }\n",
       "\n",
       "    #menu-message { position: absolute; bottom: 0px; right: 0px; white-space: nowrap;\n",
       "                    display: none; background-color: #F5F5F5; padding: 10px; }\n",
       "\n",
       "    #menu-content { position: absolute; bottom: 0px; right: 0px;\n",
       "                    display: none; background-color: #F5F5F5; border-bottom: 1px solid black;\n",
       "                    border-right: 1px solid black; border-left: 1px solid black; }\n",
       "\n",
       "    #menu-content div { border-top: 1px solid black; padding: 10px; white-space: nowrap; }\n",
       "\n",
       "    #menu-content div:hover { background-color: #FEFEFE;; }\n",
       "\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "\n",
       "<body>\n",
       "\n",
       "<script src=&quot;/nbextensions/threejs/build/three.min.js&quot;></script>\n",
       "<script src=&quot;/nbextensions/threejs/examples/js/controls/OrbitControls.js&quot;></script>\n",
       "<script>\n",
       "  if ( !window.THREE ) document.write(' \\\n",
       "<script src=&quot;https://cdn.jsdelivr.net/gh/mrdoob/three.js@r117/build/three.min.js&quot;><\\/script> \\\n",
       "<script src=&quot;https://cdn.jsdelivr.net/gh/mrdoob/three.js@r117/examples/js/controls/OrbitControls.js&quot;><\\/script> \\\n",
       "            ');\n",
       "</script>\n",
       "        \n",
       "<script>\n",
       "\n",
       "    var scene = new THREE.Scene();\n",
       "\n",
       "    var renderer = new THREE.WebGLRenderer( { antialias: true, preserveDrawingBuffer: true } );\n",
       "    renderer.setPixelRatio( window.devicePixelRatio );\n",
       "    renderer.setSize( window.innerWidth, window.innerHeight );\n",
       "    renderer.setClearColor( 0xffffff, 1 );\n",
       "    document.body.appendChild( renderer.domElement );\n",
       "\n",
       "    var options = {&quot;animate&quot;: false, &quot;animationControls&quot;: true, &quot;aspectRatio&quot;: [1.0, 1.0, 1.0], &quot;autoPlay&quot;: true, &quot;axes&quot;: false, &quot;axesLabels&quot;: [&quot;x&quot;, &quot;y&quot;, &quot;z&quot;], &quot;decimals&quot;: 2, &quot;delay&quot;: 20, &quot;frame&quot;: true, &quot;loop&quot;: true, &quot;projection&quot;: &quot;perspective&quot;, &quot;viewpoint&quot;: false};\n",
       "    var animate = options.animate;\n",
       "\n",
       "    var b = [{&quot;x&quot;:-6.283185307179586, &quot;y&quot;:-6.283185307179586, &quot;z&quot;:-1.9983779963431394}, {&quot;x&quot;:6.283185307179586, &quot;y&quot;:6.283185307179586, &quot;z&quot;:1.9983779963431392}]; // bounds\n",
       "\n",
       "    if ( b[0].x === b[1].x ) {\n",
       "        b[0].x -= 1;\n",
       "        b[1].x += 1;\n",
       "    }\n",
       "    if ( b[0].y === b[1].y ) {\n",
       "        b[0].y -= 1;\n",
       "        b[1].y += 1;\n",
       "    }\n",
       "    if ( b[0].z === b[1].z ) {\n",
       "        b[0].z -= 1;\n",
       "        b[1].z += 1;\n",
       "    }\n",
       "\n",
       "    var rRange = Math.sqrt( Math.pow( b[1].x - b[0].x, 2 )\n",
       "                            + Math.pow( b[1].y - b[0].y, 2 ) );\n",
       "    var xRange = b[1].x - b[0].x;\n",
       "    var yRange = b[1].y - b[0].y;\n",
       "    var zRange = b[1].z - b[0].z;\n",
       "\n",
       "    var ar = options.aspectRatio;\n",
       "    var a = [ ar[0], ar[1], ar[2] ]; // aspect multipliers\n",
       "    var autoAspect = 2.5;\n",
       "    if ( zRange > autoAspect * rRange && a[2] === 1 ) a[2] = autoAspect * rRange / zRange;\n",
       "\n",
       "    // Distance from (xMid,yMid,zMid) to any corner of the bounding box, after applying aspectRatio\n",
       "    var midToCorner = Math.sqrt( a[0]*a[0]*xRange*xRange + a[1]*a[1]*yRange*yRange + a[2]*a[2]*zRange*zRange ) / 2;\n",
       "\n",
       "    var xMid = ( b[0].x + b[1].x ) / 2;\n",
       "    var yMid = ( b[0].y + b[1].y ) / 2;\n",
       "    var zMid = ( b[0].z + b[1].z ) / 2;\n",
       "\n",
       "    var box = new THREE.Geometry();\n",
       "    box.vertices.push( new THREE.Vector3( a[0]*b[0].x, a[1]*b[0].y, a[2]*b[0].z ) );\n",
       "    box.vertices.push( new THREE.Vector3( a[0]*b[1].x, a[1]*b[1].y, a[2]*b[1].z ) );\n",
       "    var boxMesh = new THREE.Line( box );\n",
       "    if ( options.frame ) scene.add( new THREE.BoxHelper( boxMesh, 'black' ) );\n",
       "\n",
       "    if ( options.axesLabels ) {\n",
       "\n",
       "        var d = options.decimals; // decimals\n",
       "        var offsetRatio = 0.1;\n",
       "        var al = options.axesLabels;\n",
       "\n",
       "        var offset = offsetRatio * a[1]*( b[1].y - b[0].y );\n",
       "        var xm = xMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(xm) ) xm = xm.substr(1);\n",
       "        addLabel( al[0] + '=' + xm, a[0]*xMid, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[0].x ).toFixed(d), a[0]*b[0].x, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].x ).toFixed(d), a[0]*b[1].x, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "\n",
       "        var offset = offsetRatio * a[0]*( b[1].x - b[0].x );\n",
       "        var ym = yMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(ym) ) ym = ym.substr(1);\n",
       "        addLabel( al[1] + '=' + ym, a[0]*b[1].x+offset, a[1]*yMid, a[2]*b[0].z );\n",
       "        addLabel( ( b[0].y ).toFixed(d), a[0]*b[1].x+offset, a[1]*b[0].y, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].y ).toFixed(d), a[0]*b[1].x+offset, a[1]*b[1].y, a[2]*b[0].z );\n",
       "\n",
       "        var offset = offsetRatio * a[1]*( b[1].y - b[0].y );\n",
       "        var zm = zMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(zm) ) zm = zm.substr(1);\n",
       "        addLabel( al[2] + '=' + zm, a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*zMid );\n",
       "        addLabel( ( b[0].z ).toFixed(d), a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].z ).toFixed(d), a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*b[1].z );\n",
       "\n",
       "    }\n",
       "\n",
       "    function addLabel( text, x, y, z, color='black', fontSize=14, fontFamily='monospace',\n",
       "                       fontStyle='normal', fontWeight='normal', opacity=1 ) {\n",
       "\n",
       "        var canvas = document.createElement( 'canvas' );\n",
       "        var context = canvas.getContext( '2d' );\n",
       "        var pixelRatio = Math.round( window.devicePixelRatio );\n",
       "\n",
       "        var font = [fontStyle, fontWeight, fontSize + 'px', fontFamily].join(' ');\n",
       "\n",
       "        context.font = font;\n",
       "        var width = context.measureText( text ).width;\n",
       "        var height = fontSize;\n",
       "\n",
       "        // The dimensions of the canvas's underlying image data need to be powers\n",
       "        // of two in order for the resulting texture to support mipmapping.\n",
       "        canvas.width = THREE.MathUtils.ceilPowerOfTwo( width * pixelRatio );\n",
       "        canvas.height = THREE.MathUtils.ceilPowerOfTwo( height * pixelRatio );\n",
       "\n",
       "        // Re-compute the unscaled dimensions after the power of two conversion.\n",
       "        width = canvas.width / pixelRatio;\n",
       "        height = canvas.height / pixelRatio;\n",
       "\n",
       "        canvas.style.width = width + 'px';\n",
       "        canvas.style.height = height + 'px';\n",
       "\n",
       "        context.scale( pixelRatio, pixelRatio );\n",
       "        context.fillStyle = color;\n",
       "        context.font = font; // Must be set again after measureText.\n",
       "        context.textAlign = 'center';\n",
       "        context.textBaseline = 'middle';\n",
       "        context.fillText( text, width/2, height/2 );\n",
       "\n",
       "        var texture = new THREE.Texture( canvas );\n",
       "        texture.needsUpdate = true;\n",
       "\n",
       "        var materialOptions = { map: texture, sizeAttenuation: false };\n",
       "        if ( opacity < 1 ) {\n",
       "            // Setting opacity=1 would cause the texture's alpha component to be\n",
       "            // discarded, giving the text a black background instead of the\n",
       "            // background being transparent.\n",
       "            materialOptions.opacity = opacity;\n",
       "        }\n",
       "        var sprite = new THREE.Sprite( new THREE.SpriteMaterial( materialOptions ) );\n",
       "        sprite.position.set( x, y, z );\n",
       "\n",
       "        // Scaling factor, chosen somewhat arbitrarily so that the size of the text\n",
       "        // is consistent with previously generated plots.\n",
       "        var scale = 1/625;\n",
       "        if ( options.projection === 'orthographic' ) {\n",
       "            scale = midToCorner/256; // Needs to scale along with the plot itself.\n",
       "        }\n",
       "        sprite.scale.set( scale * width, scale * height, 1 );\n",
       "\n",
       "        scene.add( sprite );\n",
       "\n",
       "        return sprite;\n",
       "\n",
       "    }\n",
       "\n",
       "    if ( options.axes ) scene.add( new THREE.AxesHelper( Math.min( a[0]*b[1].x, a[1]*b[1].y, a[2]*b[1].z ) ) );\n",
       "\n",
       "    var camera = createCamera();\n",
       "    camera.up.set( 0, 0, 1 );\n",
       "    camera.position.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "\n",
       "    var offset = new THREE.Vector3( a[0]*xRange, a[1]*yRange, a[2]*zRange );\n",
       "\n",
       "    if ( options.viewpoint ) {\n",
       "\n",
       "        var aa = options.viewpoint;\n",
       "        var axis = new THREE.Vector3( aa[0][0], aa[0][1], aa[0][2] ).normalize();\n",
       "        var angle = aa[1] * Math.PI / 180;\n",
       "        var q = new THREE.Quaternion().setFromAxisAngle( axis, angle ).inverse();\n",
       "\n",
       "        offset.set( 0, 0, offset.length() );\n",
       "        offset.applyQuaternion( q );\n",
       "\n",
       "    }\n",
       "\n",
       "    camera.position.add( offset );\n",
       "\n",
       "    function createCamera() {\n",
       "\n",
       "        var aspect = window.innerWidth / window.innerHeight;\n",
       "\n",
       "        if ( options.projection === 'orthographic' ) {\n",
       "            var camera = new THREE.OrthographicCamera( -1, 1, 1, -1, -1000, 1000 );\n",
       "            updateCameraAspect( camera, aspect );\n",
       "            return camera;\n",
       "        }\n",
       "\n",
       "        return new THREE.PerspectiveCamera( 45, aspect, 0.1, 1000 );\n",
       "\n",
       "    }\n",
       "\n",
       "    function updateCameraAspect( camera, aspect ) {\n",
       "\n",
       "        if ( camera.isPerspectiveCamera ) {\n",
       "            camera.aspect = aspect;\n",
       "        } else if ( camera.isOrthographicCamera ) {\n",
       "            // Fit the camera frustum to the bounding box's diagonal so that the entire plot fits\n",
       "            // within at the default zoom level and camera position.\n",
       "            if ( aspect > 1 ) { // Wide window\n",
       "                camera.top = midToCorner;\n",
       "                camera.right = midToCorner * aspect;\n",
       "            } else { // Tall or square window\n",
       "                camera.top = midToCorner / aspect;\n",
       "                camera.right = midToCorner;\n",
       "            }\n",
       "            camera.bottom = -camera.top;\n",
       "            camera.left = -camera.right;\n",
       "        }\n",
       "\n",
       "        camera.updateProjectionMatrix();\n",
       "\n",
       "    }\n",
       "\n",
       "    var lights = [{&quot;x&quot;:-5, &quot;y&quot;:3, &quot;z&quot;:0, &quot;color&quot;:&quot;#7f7f7f&quot;, &quot;parent&quot;:&quot;camera&quot;}];\n",
       "    for ( var i=0 ; i < lights.length ; i++ ) {\n",
       "        var light = new THREE.DirectionalLight( lights[i].color, 1 );\n",
       "        light.position.set( a[0]*lights[i].x, a[1]*lights[i].y, a[2]*lights[i].z );\n",
       "        if ( lights[i].parent === 'camera' ) {\n",
       "            light.target.position.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "            scene.add( light.target );\n",
       "            camera.add( light );\n",
       "        } else scene.add( light );\n",
       "    }\n",
       "    scene.add( camera );\n",
       "\n",
       "    var ambient = {&quot;color&quot;:&quot;#7f7f7f&quot;};\n",
       "    scene.add( new THREE.AmbientLight( ambient.color, 1 ) );\n",
       "\n",
       "    var controls = new THREE.OrbitControls( camera, renderer.domElement );\n",
       "    controls.target.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "    controls.addEventListener( 'change', function() { if ( !animate ) render(); } );\n",
       "\n",
       "    window.addEventListener( 'resize', function() {\n",
       "\n",
       "        renderer.setSize( window.innerWidth, window.innerHeight );\n",
       "        updateCameraAspect( camera, window.innerWidth / window.innerHeight );\n",
       "        if ( !animate ) render();\n",
       "\n",
       "    } );\n",
       "\n",
       "    var texts = [];\n",
       "    for ( var i=0 ; i < texts.length ; i++ ) addText( texts[i] );\n",
       "\n",
       "    function addText( json ) {\n",
       "        json.fontFamily = json.fontFamily.map( function( f ) {\n",
       "            // Need to put quotes around fonts that have whitespace in their names.\n",
       "            return /\\s/.test( f ) ? '&quot;' + f + '&quot;' : f;\n",
       "        }).join(', ');\n",
       "        var sprite = addLabel( json.text, a[0]*json.x, a[1]*json.y, a[2]*json.z, json.color,\n",
       "                               json.fontSize, json.fontFamily, json.fontStyle, json.fontWeight,\n",
       "                               json.opacity );\n",
       "        sprite.userData = json;\n",
       "    }\n",
       "\n",
       "    var points = [];\n",
       "    for ( var i=0 ; i < points.length ; i++ ) addPoint( points[i] );\n",
       "\n",
       "    function addPoint( json ) {\n",
       "\n",
       "        var geometry = new THREE.Geometry();\n",
       "        var v = json.point;\n",
       "        geometry.vertices.push( new THREE.Vector3( a[0]*v[0], a[1]*v[1], a[2]*v[2] ) );\n",
       "\n",
       "        var canvas = document.createElement( 'canvas' );\n",
       "        canvas.width = 128;\n",
       "        canvas.height = 128;\n",
       "\n",
       "        var context = canvas.getContext( '2d' );\n",
       "        context.arc( 64, 64, 64, 0, 2 * Math.PI );\n",
       "        context.fillStyle = json.color;\n",
       "        context.fill();\n",
       "\n",
       "        var texture = new THREE.Texture( canvas );\n",
       "        texture.needsUpdate = true;\n",
       "\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var size = camera.isOrthographicCamera ? json.size : json.size/100;\n",
       "        var material = new THREE.PointsMaterial( { size: size, map: texture,\n",
       "                                                   transparent: transparent, opacity: json.opacity,\n",
       "                                                   alphaTest: .1 } );\n",
       "\n",
       "        var c = new THREE.Vector3();\n",
       "        geometry.computeBoundingBox();\n",
       "        geometry.boundingBox.getCenter( c );\n",
       "        geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "        var mesh = new THREE.Points( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        mesh.userData = json;\n",
       "        scene.add( mesh );\n",
       "\n",
       "    }\n",
       "\n",
       "    var lines = [];\n",
       "    for ( var i=0 ; i < lines.length ; i++ ) addLine( lines[i] );\n",
       "\n",
       "    function addLine( json ) {\n",
       "\n",
       "        var geometry = new THREE.Geometry();\n",
       "        for ( var i=0 ; i < json.points.length ; i++ ) {\n",
       "            var v = json.points[i];\n",
       "            geometry.vertices.push( new THREE.Vector3( a[0]*v[0], a[1]*v[1], a[2]*v[2] ) );\n",
       "        }\n",
       "\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var material = new THREE.LineBasicMaterial( { color: json.color, linewidth: json.linewidth,\n",
       "                                                      transparent: transparent, opacity: json.opacity } );\n",
       "\n",
       "        var c = new THREE.Vector3();\n",
       "        geometry.computeBoundingBox();\n",
       "        geometry.boundingBox.getCenter( c );\n",
       "        geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "        var mesh = new THREE.Line( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        mesh.userData = json;\n",
       "        scene.add( mesh );\n",
       "\n",
       "    }\n",
       "\n",
       "    var surfaces = [{&quot;vertices&quot;: [{&quot;x&quot;: -6.283185307179586, &quot;y&quot;: -6.283185307179586, &quot;z&quot;: 4.898587196589413e-16}, {&quot;x&quot;: -6.283185307179586, &quot;y&quot;: -5.960970676042171, &quot;z&quot;: 4.646488470020763e-16}, {&quot;x&quot;: -5.960970676042171, &quot;y&quot;: -5.960970676042171, &quot;z&quot;: 0.6007422642379798}, {&quot;x&quot;: -5.960970676042171, &quot;y&quot;: -6.283185307179586, &quot;z&quot;: 0.6333359876029461}, {&quot;x&quot;: -6.283185307179586, &quot;y&quot;: -5.638756044904756, &quot;z&quot;: 3.9161400852144475e-16}, {&quot;x&quot;: -5.960970676042171, &quot;y&quot;: -5.638756044904756, &quot;z&quot;: 0.5063158720921844}, {&quot;x&quot;: -6.283185307179586, &quot;y&quot;: -5.316541413767341, &quot;z&quot;: 2.7827146951710424e-16}, {&quot;x&quot;: -5.960970676042171, &quot;y&quot;: -5.316541413767341, &quot;z&quot;: 0.35977584739339336}, {&quot;x&quot;: -6.283185307179586, &quot;y&quot;: -4.994326782629926, &quot;z&quot;: 1.362872506608705e-16}, {&quot;x&quot;: -5.960970676042171, &quot;y&quot;: -4.994326782629926, &quot;z&quot;: 0.17620513227791265}, {&quot;x&quot;: -6.283185307179586, &quot;y&quot;: -4.672112151492511, &quot;z&quot;: -1.9724621867862583e-17}, {&quot;x&quot;: -5.960970676042171, &quot;y&quot;: -4.672112151492511, &quot;z&quot;: -0.02550186894595864}, {&quot;x&quot;: -6.283185307179586, &quot;y&quot;: -4.349897520355096, &quot;z&quot;: -1.7370629595146096e-16}, {&quot;x&quot;: -5.960970676042171, &quot;y&quot;: -4.349897520355096, &quot;z&quot;: -0.22458403634391666}, {&quot;x&quot;: -6.283185307179586, &quot;y&quot;: -4.027682889217681, &quot;z&quot;: -3.0980888194337063e-16}, {&quot;x&quot;: -5.960970676042171, &quot;y&quot;: -4.027682889217681, &quot;z&quot;: -0.4005504165576156}, {&quot;x&quot;: -6.283185307179586, &quot;y&quot;: -3.7054682580802667, &quot;z&quot;: -4.1402373317291496e-16}, {&quot;x&quot;: -5.960970676042171, &quot;y&quot;: -3.7054682580802667, &quot;z&quot;: -0.5352892975400985}, {&quot;x&quot;: -6.283185307179586, &quot;y&quot;: -3.383253626942852, &quot;z&quot;: -4.756243155476516e-16}, {&quot;x&quot;: -5.960970676042171, &quot;y&quot;: -3.383253626942852, &quot;z&quot;: -0.6149323948445283}, {&quot;x&quot;: -6.283185307179586, &quot;y&quot;: -3.0610389958054376, &quot;z&quot;: -4.882702587733169e-16}, {&quot;x&quot;: -5.960970676042171, &quot;y&quot;: -3.0610389958054376, &quot;z&quot;: -0.6312822741476338}, {&quot;x&quot;: -6.283185307179586, &quot;y&quot;: -2.738824364668023, &quot;z&quot;: -4.506599523832564e-16}, {&quot;x&quot;: -5.960970676042171, &quot;y&quot;: -2.738824364668023, &quot;z&quot;: -0.5826560895240698}, {&quot;x&quot;: -6.283185307179586, &quot;y&quot;: -2.4166097335306085, &quot;z&quot;: -3.6666451675005124e-16}, {&quot;x&quot;: -5.960970676042171, &quot;y&quot;: -2.4166097335306085, &quot;z&quot;: -0.4740587939243637}, {&quot;x&quot;: -6.283185307179586, &quot;y&quot;: -2.094395102393194, &quot;z&quot;: -2.4492935982947e-16}, {&quot;x&quot;: -5.960970676042171, &quot;y&quot;: -2.094395102393194, &quot;z&quot;: -0.3166679938014722}, {&quot;x&quot;: -6.283185307179586, &quot;y&quot;: -1.7721804712557794, &quot;z&quot;: -9.79843302520239e-17}, {&quot;x&quot;: -5.960970676042171, &quot;y&quot;: -1.7721804712557794, &quot;z&quot;: -0.12668347031361468}, {&quot;x&quot;: -6.283185307179586, &quot;y&quot;: -1.4499658401183648, &quot;z&quot;: 5.904594386181236e-17}, {&quot;x&quot;: -5.960970676042171, &quot;y&quot;: -1.4499658401183648, &quot;z&quot;: 0.07634021743188636}, {&quot;x&quot;: -6.283185307179586, &quot;y&quot;: -1.1277512089809503, &quot;z&quot;: 2.0999878925621272e-16}, {&quot;x&quot;: -5.960970676042171, &quot;y&quot;: -1.1277512089809503, &quot;z&quot;: 0.2715064267542406}, {&quot;x&quot;: -6.283185307179586, &quot;y&quot;: -0.8055365778435356, &quot;z&quot;: 3.3933706488678056e-16}, {&quot;x&quot;: -5.960970676042171, &quot;y&quot;: -0.8055365778435356, 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1084, 1083], [1044, 1045, 1085, 1084], [1045, 1046, 1086, 1085], [1046, 1047, 1087, 1086], [1047, 1048, 1088, 1087], [1048, 1049, 1089, 1088], [1049, 1050, 1090, 1089], [1050, 1051, 1091, 1090], [1051, 1052, 1092, 1091], [1052, 1053, 1093, 1092], [1053, 1054, 1094, 1093], [1054, 1055, 1095, 1094], [1055, 1056, 1096, 1095], [1056, 1057, 1097, 1096], [1057, 1058, 1098, 1097], [1058, 1059, 1099, 1098], [1059, 1060, 1100, 1099], [1060, 1061, 1101, 1100], [1061, 1062, 1102, 1101], [1062, 1063, 1103, 1102], [1063, 1064, 1104, 1103], [1064, 1065, 1105, 1104], [1065, 1066, 1106, 1105], [1066, 1067, 1107, 1106], [1067, 1068, 1108, 1107], [1068, 1069, 1109, 1108], [1069, 1070, 1110, 1109], [1070, 1071, 1111, 1110], [1071, 1072, 1112, 1111], [1072, 1073, 1113, 1112], [1073, 1074, 1114, 1113], [1074, 1075, 1115, 1114], [1075, 1076, 1116, 1115], [1076, 1077, 1117, 1116], [1077, 1078, 1118, 1117], [1078, 1079, 1119, 1118], [1081, 1080, 1120, 1121], [1080, 1082, 1122, 1120], [1082, 1083, 1123, 1122], [1083, 1084, 1124, 1123], [1084, 1085, 1125, 1124], [1085, 1086, 1126, 1125], [1086, 1087, 1127, 1126], [1087, 1088, 1128, 1127], [1088, 1089, 1129, 1128], [1089, 1090, 1130, 1129], [1090, 1091, 1131, 1130], [1091, 1092, 1132, 1131], [1092, 1093, 1133, 1132], [1093, 1094, 1134, 1133], [1094, 1095, 1135, 1134], [1095, 1096, 1136, 1135], [1096, 1097, 1137, 1136], [1097, 1098, 1138, 1137], [1098, 1099, 1139, 1138], [1099, 1100, 1140, 1139], [1100, 1101, 1141, 1140], [1101, 1102, 1142, 1141], [1102, 1103, 1143, 1142], [1103, 1104, 1144, 1143], [1104, 1105, 1145, 1144], [1105, 1106, 1146, 1145], [1106, 1107, 1147, 1146], [1107, 1108, 1148, 1147], [1108, 1109, 1149, 1148], [1109, 1110, 1150, 1149], [1110, 1111, 1151, 1150], [1111, 1112, 1152, 1151], [1112, 1113, 1153, 1152], [1113, 1114, 1154, 1153], [1114, 1115, 1155, 1154], [1115, 1116, 1156, 1155], [1116, 1117, 1157, 1156], [1117, 1118, 1158, 1157], [1118, 1119, 1159, 1158], [1121, 1120, 1160, 1161], [1120, 1122, 1162, 1160], [1122, 1123, 1163, 1162], [1123, 1124, 1164, 1163], [1124, 1125, 1165, 1164], [1125, 1126, 1166, 1165], [1126, 1127, 1167, 1166], [1127, 1128, 1168, 1167], [1128, 1129, 1169, 1168], [1129, 1130, 1170, 1169], [1130, 1131, 1171, 1170], [1131, 1132, 1172, 1171], [1132, 1133, 1173, 1172], [1133, 1134, 1174, 1173], [1134, 1135, 1175, 1174], [1135, 1136, 1176, 1175], [1136, 1137, 1177, 1176], [1137, 1138, 1178, 1177], [1138, 1139, 1179, 1178], [1139, 1140, 1180, 1179], [1140, 1141, 1181, 1180], [1141, 1142, 1182, 1181], [1142, 1143, 1183, 1182], [1143, 1144, 1184, 1183], [1144, 1145, 1185, 1184], [1145, 1146, 1186, 1185], [1146, 1147, 1187, 1186], [1147, 1148, 1188, 1187], [1148, 1149, 1189, 1188], [1149, 1150, 1190, 1189], [1150, 1151, 1191, 1190], [1151, 1152, 1192, 1191], [1152, 1153, 1193, 1192], [1153, 1154, 1194, 1193], [1154, 1155, 1195, 1194], [1155, 1156, 1196, 1195], [1156, 1157, 1197, 1196], [1157, 1158, 1198, 1197], [1158, 1159, 1199, 1198], [1161, 1160, 1200, 1201], [1160, 1162, 1202, 1200], [1162, 1163, 1203, 1202], [1163, 1164, 1204, 1203], [1164, 1165, 1205, 1204], [1165, 1166, 1206, 1205], [1166, 1167, 1207, 1206], [1167, 1168, 1208, 1207], [1168, 1169, 1209, 1208], [1169, 1170, 1210, 1209], [1170, 1171, 1211, 1210], [1171, 1172, 1212, 1211], [1172, 1173, 1213, 1212], [1173, 1174, 1214, 1213], [1174, 1175, 1215, 1214], [1175, 1176, 1216, 1215], [1176, 1177, 1217, 1216], [1177, 1178, 1218, 1217], [1178, 1179, 1219, 1218], [1179, 1180, 1220, 1219], [1180, 1181, 1221, 1220], [1181, 1182, 1222, 1221], [1182, 1183, 1223, 1222], [1183, 1184, 1224, 1223], [1184, 1185, 1225, 1224], [1185, 1186, 1226, 1225], [1186, 1187, 1227, 1226], [1187, 1188, 1228, 1227], [1188, 1189, 1229, 1228], [1189, 1190, 1230, 1229], [1190, 1191, 1231, 1230], [1191, 1192, 1232, 1231], [1192, 1193, 1233, 1232], [1193, 1194, 1234, 1233], [1194, 1195, 1235, 1234], [1195, 1196, 1236, 1235], [1196, 1197, 1237, 1236], [1197, 1198, 1238, 1237], [1198, 1199, 1239, 1238], [1201, 1200, 1240, 1241], [1200, 1202, 1242, 1240], [1202, 1203, 1243, 1242], [1203, 1204, 1244, 1243], [1204, 1205, 1245, 1244], [1205, 1206, 1246, 1245], [1206, 1207, 1247, 1246], [1207, 1208, 1248, 1247], [1208, 1209, 1249, 1248], [1209, 1210, 1250, 1249], [1210, 1211, 1251, 1250], [1211, 1212, 1252, 1251], [1212, 1213, 1253, 1252], [1213, 1214, 1254, 1253], [1214, 1215, 1255, 1254], [1215, 1216, 1256, 1255], [1216, 1217, 1257, 1256], [1217, 1218, 1258, 1257], [1218, 1219, 1259, 1258], [1219, 1220, 1260, 1259], [1220, 1221, 1261, 1260], [1221, 1222, 1262, 1261], [1222, 1223, 1263, 1262], [1223, 1224, 1264, 1263], [1224, 1225, 1265, 1264], [1225, 1226, 1266, 1265], [1226, 1227, 1267, 1266], [1227, 1228, 1268, 1267], [1228, 1229, 1269, 1268], [1229, 1230, 1270, 1269], [1230, 1231, 1271, 1270], [1231, 1232, 1272, 1271], [1232, 1233, 1273, 1272], [1233, 1234, 1274, 1273], [1234, 1235, 1275, 1274], [1235, 1236, 1276, 1275], [1236, 1237, 1277, 1276], [1237, 1238, 1278, 1277], [1238, 1239, 1279, 1278], [1241, 1240, 1280, 1281], [1240, 1242, 1282, 1280], [1242, 1243, 1283, 1282], [1243, 1244, 1284, 1283], [1244, 1245, 1285, 1284], [1245, 1246, 1286, 1285], [1246, 1247, 1287, 1286], [1247, 1248, 1288, 1287], [1248, 1249, 1289, 1288], [1249, 1250, 1290, 1289], [1250, 1251, 1291, 1290], [1251, 1252, 1292, 1291], [1252, 1253, 1293, 1292], [1253, 1254, 1294, 1293], [1254, 1255, 1295, 1294], [1255, 1256, 1296, 1295], [1256, 1257, 1297, 1296], [1257, 1258, 1298, 1297], [1258, 1259, 1299, 1298], [1259, 1260, 1300, 1299], [1260, 1261, 1301, 1300], [1261, 1262, 1302, 1301], [1262, 1263, 1303, 1302], [1263, 1264, 1304, 1303], [1264, 1265, 1305, 1304], [1265, 1266, 1306, 1305], [1266, 1267, 1307, 1306], [1267, 1268, 1308, 1307], [1268, 1269, 1309, 1308], [1269, 1270, 1310, 1309], [1270, 1271, 1311, 1310], [1271, 1272, 1312, 1311], [1272, 1273, 1313, 1312], [1273, 1274, 1314, 1313], [1274, 1275, 1315, 1314], [1275, 1276, 1316, 1315], [1276, 1277, 1317, 1316], [1277, 1278, 1318, 1317], [1278, 1279, 1319, 1318], [1281, 1280, 1320, 1321], [1280, 1282, 1322, 1320], [1282, 1283, 1323, 1322], [1283, 1284, 1324, 1323], [1284, 1285, 1325, 1324], [1285, 1286, 1326, 1325], [1286, 1287, 1327, 1326], [1287, 1288, 1328, 1327], [1288, 1289, 1329, 1328], [1289, 1290, 1330, 1329], [1290, 1291, 1331, 1330], [1291, 1292, 1332, 1331], [1292, 1293, 1333, 1332], [1293, 1294, 1334, 1333], [1294, 1295, 1335, 1334], [1295, 1296, 1336, 1335], [1296, 1297, 1337, 1336], [1297, 1298, 1338, 1337], [1298, 1299, 1339, 1338], [1299, 1300, 1340, 1339], [1300, 1301, 1341, 1340], [1301, 1302, 1342, 1341], [1302, 1303, 1343, 1342], [1303, 1304, 1344, 1343], [1304, 1305, 1345, 1344], [1305, 1306, 1346, 1345], [1306, 1307, 1347, 1346], [1307, 1308, 1348, 1347], [1308, 1309, 1349, 1348], [1309, 1310, 1350, 1349], [1310, 1311, 1351, 1350], [1311, 1312, 1352, 1351], [1312, 1313, 1353, 1352], [1313, 1314, 1354, 1353], [1314, 1315, 1355, 1354], [1315, 1316, 1356, 1355], [1316, 1317, 1357, 1356], [1317, 1318, 1358, 1357], [1318, 1319, 1359, 1358], [1321, 1320, 1360, 1361], [1320, 1322, 1362, 1360], [1322, 1323, 1363, 1362], [1323, 1324, 1364, 1363], [1324, 1325, 1365, 1364], [1325, 1326, 1366, 1365], [1326, 1327, 1367, 1366], [1327, 1328, 1368, 1367], [1328, 1329, 1369, 1368], [1329, 1330, 1370, 1369], [1330, 1331, 1371, 1370], [1331, 1332, 1372, 1371], [1332, 1333, 1373, 1372], [1333, 1334, 1374, 1373], [1334, 1335, 1375, 1374], [1335, 1336, 1376, 1375], [1336, 1337, 1377, 1376], [1337, 1338, 1378, 1377], [1338, 1339, 1379, 1378], [1339, 1340, 1380, 1379], [1340, 1341, 1381, 1380], [1341, 1342, 1382, 1381], [1342, 1343, 1383, 1382], [1343, 1344, 1384, 1383], [1344, 1345, 1385, 1384], [1345, 1346, 1386, 1385], [1346, 1347, 1387, 1386], [1347, 1348, 1388, 1387], [1348, 1349, 1389, 1388], [1349, 1350, 1390, 1389], [1350, 1351, 1391, 1390], [1351, 1352, 1392, 1391], [1352, 1353, 1393, 1392], [1353, 1354, 1394, 1393], [1354, 1355, 1395, 1394], [1355, 1356, 1396, 1395], [1356, 1357, 1397, 1396], [1357, 1358, 1398, 1397], [1358, 1359, 1399, 1398], [1361, 1360, 1400, 1401], [1360, 1362, 1402, 1400], [1362, 1363, 1403, 1402], [1363, 1364, 1404, 1403], [1364, 1365, 1405, 1404], [1365, 1366, 1406, 1405], [1366, 1367, 1407, 1406], [1367, 1368, 1408, 1407], [1368, 1369, 1409, 1408], [1369, 1370, 1410, 1409], [1370, 1371, 1411, 1410], [1371, 1372, 1412, 1411], [1372, 1373, 1413, 1412], [1373, 1374, 1414, 1413], [1374, 1375, 1415, 1414], [1375, 1376, 1416, 1415], [1376, 1377, 1417, 1416], [1377, 1378, 1418, 1417], [1378, 1379, 1419, 1418], [1379, 1380, 1420, 1419], [1380, 1381, 1421, 1420], [1381, 1382, 1422, 1421], [1382, 1383, 1423, 1422], [1383, 1384, 1424, 1423], [1384, 1385, 1425, 1424], [1385, 1386, 1426, 1425], [1386, 1387, 1427, 1426], [1387, 1388, 1428, 1427], [1388, 1389, 1429, 1428], [1389, 1390, 1430, 1429], [1390, 1391, 1431, 1430], [1391, 1392, 1432, 1431], [1392, 1393, 1433, 1432], [1393, 1394, 1434, 1433], [1394, 1395, 1435, 1434], [1395, 1396, 1436, 1435], [1396, 1397, 1437, 1436], [1397, 1398, 1438, 1437], [1398, 1399, 1439, 1438], [1401, 1400, 1440, 1441], [1400, 1402, 1442, 1440], [1402, 1403, 1443, 1442], [1403, 1404, 1444, 1443], [1404, 1405, 1445, 1444], [1405, 1406, 1446, 1445], [1406, 1407, 1447, 1446], [1407, 1408, 1448, 1447], [1408, 1409, 1449, 1448], [1409, 1410, 1450, 1449], [1410, 1411, 1451, 1450], [1411, 1412, 1452, 1451], [1412, 1413, 1453, 1452], [1413, 1414, 1454, 1453], [1414, 1415, 1455, 1454], [1415, 1416, 1456, 1455], [1416, 1417, 1457, 1456], [1417, 1418, 1458, 1457], [1418, 1419, 1459, 1458], [1419, 1420, 1460, 1459], [1420, 1421, 1461, 1460], [1421, 1422, 1462, 1461], [1422, 1423, 1463, 1462], [1423, 1424, 1464, 1463], [1424, 1425, 1465, 1464], [1425, 1426, 1466, 1465], [1426, 1427, 1467, 1466], [1427, 1428, 1468, 1467], [1428, 1429, 1469, 1468], [1429, 1430, 1470, 1469], [1430, 1431, 1471, 1470], [1431, 1432, 1472, 1471], [1432, 1433, 1473, 1472], [1433, 1434, 1474, 1473], [1434, 1435, 1475, 1474], [1435, 1436, 1476, 1475], [1436, 1437, 1477, 1476], [1437, 1438, 1478, 1477], [1438, 1439, 1479, 1478], [1441, 1440, 1480, 1481], [1440, 1442, 1482, 1480], [1442, 1443, 1483, 1482], [1443, 1444, 1484, 1483], [1444, 1445, 1485, 1484], [1445, 1446, 1486, 1485], [1446, 1447, 1487, 1486], [1447, 1448, 1488, 1487], [1448, 1449, 1489, 1488], [1449, 1450, 1490, 1489], [1450, 1451, 1491, 1490], [1451, 1452, 1492, 1491], [1452, 1453, 1493, 1492], [1453, 1454, 1494, 1493], [1454, 1455, 1495, 1494], [1455, 1456, 1496, 1495], [1456, 1457, 1497, 1496], [1457, 1458, 1498, 1497], [1458, 1459, 1499, 1498], [1459, 1460, 1500, 1499], [1460, 1461, 1501, 1500], [1461, 1462, 1502, 1501], [1462, 1463, 1503, 1502], [1463, 1464, 1504, 1503], [1464, 1465, 1505, 1504], [1465, 1466, 1506, 1505], [1466, 1467, 1507, 1506], [1467, 1468, 1508, 1507], [1468, 1469, 1509, 1508], [1469, 1470, 1510, 1509], [1470, 1471, 1511, 1510], [1471, 1472, 1512, 1511], [1472, 1473, 1513, 1512], [1473, 1474, 1514, 1513], [1474, 1475, 1515, 1514], [1475, 1476, 1516, 1515], [1476, 1477, 1517, 1516], [1477, 1478, 1518, 1517], [1478, 1479, 1519, 1518], [1481, 1480, 1520, 1521], [1480, 1482, 1522, 1520], [1482, 1483, 1523, 1522], [1483, 1484, 1524, 1523], [1484, 1485, 1525, 1524], [1485, 1486, 1526, 1525], [1486, 1487, 1527, 1526], [1487, 1488, 1528, 1527], [1488, 1489, 1529, 1528], [1489, 1490, 1530, 1529], [1490, 1491, 1531, 1530], [1491, 1492, 1532, 1531], [1492, 1493, 1533, 1532], [1493, 1494, 1534, 1533], [1494, 1495, 1535, 1534], [1495, 1496, 1536, 1535], [1496, 1497, 1537, 1536], [1497, 1498, 1538, 1537], [1498, 1499, 1539, 1538], [1499, 1500, 1540, 1539], [1500, 1501, 1541, 1540], [1501, 1502, 1542, 1541], [1502, 1503, 1543, 1542], [1503, 1504, 1544, 1543], [1504, 1505, 1545, 1544], [1505, 1506, 1546, 1545], [1506, 1507, 1547, 1546], [1507, 1508, 1548, 1547], [1508, 1509, 1549, 1548], [1509, 1510, 1550, 1549], [1510, 1511, 1551, 1550], [1511, 1512, 1552, 1551], [1512, 1513, 1553, 1552], [1513, 1514, 1554, 1553], [1514, 1515, 1555, 1554], [1515, 1516, 1556, 1555], [1516, 1517, 1557, 1556], [1517, 1518, 1558, 1557], [1518, 1519, 1559, 1558], [1521, 1520, 1560, 1561], [1520, 1522, 1562, 1560], [1522, 1523, 1563, 1562], [1523, 1524, 1564, 1563], [1524, 1525, 1565, 1564], [1525, 1526, 1566, 1565], [1526, 1527, 1567, 1566], [1527, 1528, 1568, 1567], [1528, 1529, 1569, 1568], [1529, 1530, 1570, 1569], [1530, 1531, 1571, 1570], [1531, 1532, 1572, 1571], [1532, 1533, 1573, 1572], [1533, 1534, 1574, 1573], [1534, 1535, 1575, 1574], [1535, 1536, 1576, 1575], [1536, 1537, 1577, 1576], [1537, 1538, 1578, 1577], [1538, 1539, 1579, 1578], [1539, 1540, 1580, 1579], [1540, 1541, 1581, 1580], [1541, 1542, 1582, 1581], [1542, 1543, 1583, 1582], [1543, 1544, 1584, 1583], [1544, 1545, 1585, 1584], [1545, 1546, 1586, 1585], [1546, 1547, 1587, 1586], [1547, 1548, 1588, 1587], [1548, 1549, 1589, 1588], [1549, 1550, 1590, 1589], [1550, 1551, 1591, 1590], [1551, 1552, 1592, 1591], [1552, 1553, 1593, 1592], [1553, 1554, 1594, 1593], [1554, 1555, 1595, 1594], [1555, 1556, 1596, 1595], [1556, 1557, 1597, 1596], [1557, 1558, 1598, 1597], [1558, 1559, 1599, 1598]], &quot;color&quot;: &quot;#add8e6&quot;, &quot;opacity&quot;: 1.0, &quot;showMeshGrid&quot;: true}];\n",
       "    for ( var i=0 ; i < surfaces.length ; i++ ) addSurface( surfaces[i] );\n",
       "\n",
       "    function addSurface( json ) {\n",
       "\n",
       "        var useFaceColors = 'faceColors' in json ? true : false;\n",
       "\n",
       "        var geometry = new THREE.Geometry();\n",
       "        for ( var i=0 ; i < json.vertices.length ; i++ ) {\n",
       "            var v = json.vertices[i];\n",
       "            geometry.vertices.push( new THREE.Vector3( a[0]*v.x, a[1]*v.y, a[2]*v.z ) );\n",
       "        }\n",
       "        for ( var i=0 ; i < json.faces.length ; i++ ) {\n",
       "            var f = json.faces[i];\n",
       "            for ( var j=0 ; j < f.length - 2 ; j++ ) {\n",
       "                var face = new THREE.Face3( f[0], f[j+1], f[j+2] );\n",
       "                if ( useFaceColors ) face.color.set( json.faceColors[i] );\n",
       "                geometry.faces.push( face );\n",
       "            }\n",
       "        }\n",
       "        geometry.computeVertexNormals();\n",
       "\n",
       "        var side = json.singleSide ? THREE.FrontSide : THREE.DoubleSide;\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var flatShading = json.useFlatShading ? json.useFlatShading : false;\n",
       "\n",
       "        var material = new THREE.MeshPhongMaterial( { side: side,\n",
       "                                     color: useFaceColors ? 'white' : json.color,\n",
       "                                     vertexColors: useFaceColors ? THREE.FaceColors : THREE.NoColors,\n",
       "                                     transparent: transparent, opacity: json.opacity,\n",
       "                                     shininess: 20, flatShading: flatShading } );\n",
       "\n",
       "        var c = new THREE.Vector3();\n",
       "        geometry.computeBoundingBox();\n",
       "        geometry.boundingBox.getCenter( c );\n",
       "        geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "        var mesh = new THREE.Mesh( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        if ( transparent && json.renderOrder ) mesh.renderOrder = json.renderOrder;\n",
       "        mesh.userData = json;\n",
       "        scene.add( mesh );\n",
       "\n",
       "        if ( json.showMeshGrid ) {\n",
       "\n",
       "            var geometry = new THREE.Geometry();\n",
       "\n",
       "            for ( var i=0 ; i < json.faces.length ; i++ ) {\n",
       "                var f = json.faces[i];\n",
       "                for ( var j=0 ; j < f.length ; j++ ) {\n",
       "                    var k = j === f.length-1 ? 0 : j+1;\n",
       "                    var v1 = json.vertices[f[j]];\n",
       "                    var v2 = json.vertices[f[k]];\n",
       "                    // vertices in opposite directions on neighboring faces\n",
       "                    var nudge = f[j] < f[k] ? .0005*zRange : -.0005*zRange;\n",
       "                    geometry.vertices.push( new THREE.Vector3( a[0]*v1.x, a[1]*v1.y, a[2]*(v1.z+nudge) ) );\n",
       "                    geometry.vertices.push( new THREE.Vector3( a[0]*v2.x, a[1]*v2.y, a[2]*(v2.z+nudge) ) );\n",
       "                }\n",
       "            }\n",
       "\n",
       "            var material = new THREE.LineBasicMaterial( { color: 'black', linewidth: 1 } );\n",
       "\n",
       "            var c = new THREE.Vector3();\n",
       "            geometry.computeBoundingBox();\n",
       "            geometry.boundingBox.getCenter( c );\n",
       "            geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "            var mesh = new THREE.LineSegments( geometry, material );\n",
       "            mesh.position.set( c.x, c.y, c.z );\n",
       "            mesh.userData = json;\n",
       "            scene.add( mesh );\n",
       "\n",
       "        }\n",
       "\n",
       "    }\n",
       "\n",
       "    function render() {\n",
       "\n",
       "        if ( window.updateAnimation ) animate = updateAnimation();\n",
       "        if ( animate ) requestAnimationFrame( render );\n",
       "\n",
       "        renderer.render( scene, camera );\n",
       "\n",
       "    }\n",
       "\n",
       "    render();\n",
       "    controls.update();\n",
       "    if ( !animate ) render();\n",
       "\n",
       "\n",
       "    // menu functions\n",
       "\n",
       "    function toggleMenu() {\n",
       "\n",
       "        var m = document.getElementById( 'menu-content' );\n",
       "        if ( m.style.display === 'block' ) m.style.display = 'none'\n",
       "        else m.style.display = 'block';\n",
       "\n",
       "    }\n",
       "\n",
       "\n",
       "    function saveAsPNG() {\n",
       "\n",
       "        var a = document.body.appendChild( document.createElement( 'a' ) );\n",
       "        a.href = renderer.domElement.toDataURL( 'image/png' );\n",
       "        a.download = 'screenshot';\n",
       "        a.click();\n",
       "\n",
       "    }\n",
       "\n",
       "    function saveAsHTML() {\n",
       "\n",
       "        toggleMenu(); // otherwise visible in output\n",
       "        event.stopPropagation();\n",
       "\n",
       "        var blob = new Blob( [ '<!DOCTYPE html>\\n' + document.documentElement.outerHTML ] );\n",
       "        var a = document.body.appendChild( document.createElement( 'a' ) );\n",
       "        a.href = window.URL.createObjectURL( blob );\n",
       "        a.download = 'graphic.html';\n",
       "        a.click();\n",
       "\n",
       "    }\n",
       "\n",
       "    function getViewpoint() {\n",
       "\n",
       "        function roundTo( x, n ) { return +x.toFixed(n); }\n",
       "\n",
       "        var v = camera.quaternion.inverse();\n",
       "        var r = Math.sqrt( v.x*v.x + v.y*v.y + v.z*v.z );\n",
       "        var axis = [ roundTo( v.x / r, 4 ), roundTo( v.y / r, 4 ), roundTo( v.z / r, 4 ) ];\n",
       "        var angle = roundTo( 2 * Math.atan2( r, v.w ) * 180 / Math.PI, 2 );\n",
       "\n",
       "        var textArea = document.createElement( 'textarea' );\n",
       "        textArea.textContent = JSON.stringify( axis ) + ',' + angle;\n",
       "        textArea.style.csstext = 'position: absolute; top: -100%';\n",
       "        document.body.append( textArea );\n",
       "        textArea.select();\n",
       "        document.execCommand( 'copy' );\n",
       "\n",
       "        var m = document.getElementById( 'menu-message' );\n",
       "        m.innerHTML = 'Viewpoint copied to clipboard';\n",
       "        m.style.display = 'block';\n",
       "        setTimeout( function() { m.style.display = 'none'; }, 2000 );\n",
       "\n",
       "    }\n",
       "\n",
       "</script>\n",
       "\n",
       "<div id=&quot;menu-container&quot; onclick=&quot;toggleMenu()&quot;>&#x24d8;\n",
       "<div id=&quot;menu-message&quot;></div>\n",
       "<div id=&quot;menu-content&quot;>\n",
       "<div onclick=&quot;saveAsPNG()&quot;>Save as PNG</div>\n",
       "<div onclick=&quot;saveAsHTML()&quot;>Save as HTML</div>\n",
       "<div onclick=&quot;getViewpoint()&quot;>Get Viewpoint</div>\n",
       "<div>Close Menu</div>\n",
       "</div></div>\n",
       "\n",
       "\n",
       "</body>\n",
       "</html>\n",
       "\"\n",
       "        width=\"100%\"\n",
       "        height=\"400\"\n",
       "        style=\"border: 0;\">\n",
       "</iframe>\n"
      ],
      "text/plain": [
       "Graphics3d Object"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "var('x y')\n",
    "plot3d(2*sin(x)*cos(y), (x,-2*pi,2*pi),(y,-2*pi,2*pi),color='lightblue', mesh=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    " Vários exemplos [aqui](https://doc.sagemath.org/html/en/reference/plot3d/sage/plot/plot3d/plot3d.html?highlight=plot3d#module-sage.plot.plot3d.plot3d)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### 1. Parametrização de superfícies"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Também parecido com o caso 2D"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Definindo como uma tupla:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\verb|<class|\\phantom{\\verb!x!}\\verb|'tuple'>|</script></html>"
      ],
      "text/latex": [
       "\\begin{math}\n",
       "\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\verb|<class|\\phantom{\\verb!x!}\\verb|'tuple'>|\n",
       "\\end{math}"
      ],
      "text/plain": [
       "<class 'tuple'>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "var('u v')\n",
    "toro0 = (4+(3+cos(v))*sin(u), 4+(3+cos(v))*cos(u), 4+sin(v))\n",
    "parent(toro0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<iframe srcdoc=\"<!DOCTYPE html>\n",
       "<html>\n",
       "<head>\n",
       "<title></title>\n",
       "<meta charset=&quot;utf-8&quot;>\n",
       "<meta name=viewport content=&quot;width=device-width, user-scalable=no, minimum-scale=1.0, maximum-scale=1.0&quot;>\n",
       "<style>\n",
       "\n",
       "    body { margin: 0px; overflow: hidden; }\n",
       "\n",
       "    #menu-container { position: absolute; bottom: 30px; right: 40px; cursor: default; }\n",
       "\n",
       "    #menu-message { position: absolute; bottom: 0px; right: 0px; white-space: nowrap;\n",
       "                    display: none; background-color: #F5F5F5; padding: 10px; }\n",
       "\n",
       "    #menu-content { position: absolute; bottom: 0px; right: 0px;\n",
       "                    display: none; background-color: #F5F5F5; border-bottom: 1px solid black;\n",
       "                    border-right: 1px solid black; border-left: 1px solid black; }\n",
       "\n",
       "    #menu-content div { border-top: 1px solid black; padding: 10px; white-space: nowrap; }\n",
       "\n",
       "    #menu-content div:hover { background-color: #FEFEFE;; }\n",
       "\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "\n",
       "<body>\n",
       "\n",
       "<script src=&quot;/nbextensions/threejs/build/three.min.js&quot;></script>\n",
       "<script src=&quot;/nbextensions/threejs/examples/js/controls/OrbitControls.js&quot;></script>\n",
       "<script>\n",
       "  if ( !window.THREE ) document.write(' \\\n",
       "<script src=&quot;https://cdn.jsdelivr.net/gh/mrdoob/three.js@r117/build/three.min.js&quot;><\\/script> \\\n",
       "<script src=&quot;https://cdn.jsdelivr.net/gh/mrdoob/three.js@r117/examples/js/controls/OrbitControls.js&quot;><\\/script> \\\n",
       "            ');\n",
       "</script>\n",
       "        \n",
       "<script>\n",
       "\n",
       "    var scene = new THREE.Scene();\n",
       "\n",
       "    var renderer = new THREE.WebGLRenderer( { antialias: true, preserveDrawingBuffer: true } );\n",
       "    renderer.setPixelRatio( window.devicePixelRatio );\n",
       "    renderer.setSize( window.innerWidth, window.innerHeight );\n",
       "    renderer.setClearColor( 0xffffff, 1 );\n",
       "    document.body.appendChild( renderer.domElement );\n",
       "\n",
       "    var options = {&quot;animate&quot;: false, &quot;animationControls&quot;: true, &quot;aspectRatio&quot;: [1.0, 1.0, 1.0], &quot;autoPlay&quot;: true, &quot;axes&quot;: false, &quot;axesLabels&quot;: [&quot;x&quot;, &quot;y&quot;, &quot;z&quot;], &quot;decimals&quot;: 2, &quot;delay&quot;: 20, &quot;frame&quot;: true, &quot;loop&quot;: true, &quot;projection&quot;: &quot;perspective&quot;, &quot;viewpoint&quot;: false};\n",
       "    var animate = options.animate;\n",
       "\n",
       "    var b = [{&quot;x&quot;:0.003244007313721209, &quot;y&quot;:0.012970767463159838, &quot;z&quot;:3.0008110018284304}, {&quot;x&quot;:7.996755992686278, &quot;y&quot;:8.0, &quot;z&quot;:4.99918899817157}]; // bounds\n",
       "\n",
       "    if ( b[0].x === b[1].x ) {\n",
       "        b[0].x -= 1;\n",
       "        b[1].x += 1;\n",
       "    }\n",
       "    if ( b[0].y === b[1].y ) {\n",
       "        b[0].y -= 1;\n",
       "        b[1].y += 1;\n",
       "    }\n",
       "    if ( b[0].z === b[1].z ) {\n",
       "        b[0].z -= 1;\n",
       "        b[1].z += 1;\n",
       "    }\n",
       "\n",
       "    var rRange = Math.sqrt( Math.pow( b[1].x - b[0].x, 2 )\n",
       "                            + Math.pow( b[1].y - b[0].y, 2 ) );\n",
       "    var xRange = b[1].x - b[0].x;\n",
       "    var yRange = b[1].y - b[0].y;\n",
       "    var zRange = b[1].z - b[0].z;\n",
       "\n",
       "    var ar = options.aspectRatio;\n",
       "    var a = [ ar[0], ar[1], ar[2] ]; // aspect multipliers\n",
       "    var autoAspect = 2.5;\n",
       "    if ( zRange > autoAspect * rRange && a[2] === 1 ) a[2] = autoAspect * rRange / zRange;\n",
       "\n",
       "    // Distance from (xMid,yMid,zMid) to any corner of the bounding box, after applying aspectRatio\n",
       "    var midToCorner = Math.sqrt( a[0]*a[0]*xRange*xRange + a[1]*a[1]*yRange*yRange + a[2]*a[2]*zRange*zRange ) / 2;\n",
       "\n",
       "    var xMid = ( b[0].x + b[1].x ) / 2;\n",
       "    var yMid = ( b[0].y + b[1].y ) / 2;\n",
       "    var zMid = ( b[0].z + b[1].z ) / 2;\n",
       "\n",
       "    var box = new THREE.Geometry();\n",
       "    box.vertices.push( new THREE.Vector3( a[0]*b[0].x, a[1]*b[0].y, a[2]*b[0].z ) );\n",
       "    box.vertices.push( new THREE.Vector3( a[0]*b[1].x, a[1]*b[1].y, a[2]*b[1].z ) );\n",
       "    var boxMesh = new THREE.Line( box );\n",
       "    if ( options.frame ) scene.add( new THREE.BoxHelper( boxMesh, 'black' ) );\n",
       "\n",
       "    if ( options.axesLabels ) {\n",
       "\n",
       "        var d = options.decimals; // decimals\n",
       "        var offsetRatio = 0.1;\n",
       "        var al = options.axesLabels;\n",
       "\n",
       "        var offset = offsetRatio * a[1]*( b[1].y - b[0].y );\n",
       "        var xm = xMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(xm) ) xm = xm.substr(1);\n",
       "        addLabel( al[0] + '=' + xm, a[0]*xMid, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[0].x ).toFixed(d), a[0]*b[0].x, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].x ).toFixed(d), a[0]*b[1].x, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "\n",
       "        var offset = offsetRatio * a[0]*( b[1].x - b[0].x );\n",
       "        var ym = yMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(ym) ) ym = ym.substr(1);\n",
       "        addLabel( al[1] + '=' + ym, a[0]*b[1].x+offset, a[1]*yMid, a[2]*b[0].z );\n",
       "        addLabel( ( b[0].y ).toFixed(d), a[0]*b[1].x+offset, a[1]*b[0].y, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].y ).toFixed(d), a[0]*b[1].x+offset, a[1]*b[1].y, a[2]*b[0].z );\n",
       "\n",
       "        var offset = offsetRatio * a[1]*( b[1].y - b[0].y );\n",
       "        var zm = zMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(zm) ) zm = zm.substr(1);\n",
       "        addLabel( al[2] + '=' + zm, a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*zMid );\n",
       "        addLabel( ( b[0].z ).toFixed(d), a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].z ).toFixed(d), a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*b[1].z );\n",
       "\n",
       "    }\n",
       "\n",
       "    function addLabel( text, x, y, z, color='black', fontSize=14, fontFamily='monospace',\n",
       "                       fontStyle='normal', fontWeight='normal', opacity=1 ) {\n",
       "\n",
       "        var canvas = document.createElement( 'canvas' );\n",
       "        var context = canvas.getContext( '2d' );\n",
       "        var pixelRatio = Math.round( window.devicePixelRatio );\n",
       "\n",
       "        var font = [fontStyle, fontWeight, fontSize + 'px', fontFamily].join(' ');\n",
       "\n",
       "        context.font = font;\n",
       "        var width = context.measureText( text ).width;\n",
       "        var height = fontSize;\n",
       "\n",
       "        // The dimensions of the canvas's underlying image data need to be powers\n",
       "        // of two in order for the resulting texture to support mipmapping.\n",
       "        canvas.width = THREE.MathUtils.ceilPowerOfTwo( width * pixelRatio );\n",
       "        canvas.height = THREE.MathUtils.ceilPowerOfTwo( height * pixelRatio );\n",
       "\n",
       "        // Re-compute the unscaled dimensions after the power of two conversion.\n",
       "        width = canvas.width / pixelRatio;\n",
       "        height = canvas.height / pixelRatio;\n",
       "\n",
       "        canvas.style.width = width + 'px';\n",
       "        canvas.style.height = height + 'px';\n",
       "\n",
       "        context.scale( pixelRatio, pixelRatio );\n",
       "        context.fillStyle = color;\n",
       "        context.font = font; // Must be set again after measureText.\n",
       "        context.textAlign = 'center';\n",
       "        context.textBaseline = 'middle';\n",
       "        context.fillText( text, width/2, height/2 );\n",
       "\n",
       "        var texture = new THREE.Texture( canvas );\n",
       "        texture.needsUpdate = true;\n",
       "\n",
       "        var materialOptions = { map: texture, sizeAttenuation: false };\n",
       "        if ( opacity < 1 ) {\n",
       "            // Setting opacity=1 would cause the texture's alpha component to be\n",
       "            // discarded, giving the text a black background instead of the\n",
       "            // background being transparent.\n",
       "            materialOptions.opacity = opacity;\n",
       "        }\n",
       "        var sprite = new THREE.Sprite( new THREE.SpriteMaterial( materialOptions ) );\n",
       "        sprite.position.set( x, y, z );\n",
       "\n",
       "        // Scaling factor, chosen somewhat arbitrarily so that the size of the text\n",
       "        // is consistent with previously generated plots.\n",
       "        var scale = 1/625;\n",
       "        if ( options.projection === 'orthographic' ) {\n",
       "            scale = midToCorner/256; // Needs to scale along with the plot itself.\n",
       "        }\n",
       "        sprite.scale.set( scale * width, scale * height, 1 );\n",
       "\n",
       "        scene.add( sprite );\n",
       "\n",
       "        return sprite;\n",
       "\n",
       "    }\n",
       "\n",
       "    if ( options.axes ) scene.add( new THREE.AxesHelper( Math.min( a[0]*b[1].x, a[1]*b[1].y, a[2]*b[1].z ) ) );\n",
       "\n",
       "    var camera = createCamera();\n",
       "    camera.up.set( 0, 0, 1 );\n",
       "    camera.position.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "\n",
       "    var offset = new THREE.Vector3( a[0]*xRange, a[1]*yRange, a[2]*zRange );\n",
       "\n",
       "    if ( options.viewpoint ) {\n",
       "\n",
       "        var aa = options.viewpoint;\n",
       "        var axis = new THREE.Vector3( aa[0][0], aa[0][1], aa[0][2] ).normalize();\n",
       "        var angle = aa[1] * Math.PI / 180;\n",
       "        var q = new THREE.Quaternion().setFromAxisAngle( axis, angle ).inverse();\n",
       "\n",
       "        offset.set( 0, 0, offset.length() );\n",
       "        offset.applyQuaternion( q );\n",
       "\n",
       "    }\n",
       "\n",
       "    camera.position.add( offset );\n",
       "\n",
       "    function createCamera() {\n",
       "\n",
       "        var aspect = window.innerWidth / window.innerHeight;\n",
       "\n",
       "        if ( options.projection === 'orthographic' ) {\n",
       "            var camera = new THREE.OrthographicCamera( -1, 1, 1, -1, -1000, 1000 );\n",
       "            updateCameraAspect( camera, aspect );\n",
       "            return camera;\n",
       "        }\n",
       "\n",
       "        return new THREE.PerspectiveCamera( 45, aspect, 0.1, 1000 );\n",
       "\n",
       "    }\n",
       "\n",
       "    function updateCameraAspect( camera, aspect ) {\n",
       "\n",
       "        if ( camera.isPerspectiveCamera ) {\n",
       "            camera.aspect = aspect;\n",
       "        } else if ( camera.isOrthographicCamera ) {\n",
       "            // Fit the camera frustum to the bounding box's diagonal so that the entire plot fits\n",
       "            // within at the default zoom level and camera position.\n",
       "            if ( aspect > 1 ) { // Wide window\n",
       "                camera.top = midToCorner;\n",
       "                camera.right = midToCorner * aspect;\n",
       "            } else { // Tall or square window\n",
       "                camera.top = midToCorner / aspect;\n",
       "                camera.right = midToCorner;\n",
       "            }\n",
       "            camera.bottom = -camera.top;\n",
       "            camera.left = -camera.right;\n",
       "        }\n",
       "\n",
       "        camera.updateProjectionMatrix();\n",
       "\n",
       "    }\n",
       "\n",
       "    var lights = [{&quot;x&quot;:-5, &quot;y&quot;:3, &quot;z&quot;:0, &quot;color&quot;:&quot;#7f7f7f&quot;, &quot;parent&quot;:&quot;camera&quot;}];\n",
       "    for ( var i=0 ; i < lights.length ; i++ ) {\n",
       "        var light = new THREE.DirectionalLight( lights[i].color, 1 );\n",
       "        light.position.set( a[0]*lights[i].x, a[1]*lights[i].y, a[2]*lights[i].z );\n",
       "        if ( lights[i].parent === 'camera' ) {\n",
       "            light.target.position.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "            scene.add( light.target );\n",
       "            camera.add( light );\n",
       "        } else scene.add( light );\n",
       "    }\n",
       "    scene.add( camera );\n",
       "\n",
       "    var ambient = {&quot;color&quot;:&quot;#7f7f7f&quot;};\n",
       "    scene.add( new THREE.AmbientLight( ambient.color, 1 ) );\n",
       "\n",
       "    var controls = new THREE.OrbitControls( camera, renderer.domElement );\n",
       "    controls.target.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "    controls.addEventListener( 'change', function() { if ( !animate ) render(); } );\n",
       "\n",
       "    window.addEventListener( 'resize', function() {\n",
       "\n",
       "        renderer.setSize( window.innerWidth, window.innerHeight );\n",
       "        updateCameraAspect( camera, window.innerWidth / window.innerHeight );\n",
       "        if ( !animate ) render();\n",
       "\n",
       "    } );\n",
       "\n",
       "    var texts = [];\n",
       "    for ( var i=0 ; i < texts.length ; i++ ) addText( texts[i] );\n",
       "\n",
       "    function addText( json ) {\n",
       "        json.fontFamily = json.fontFamily.map( function( f ) {\n",
       "            // Need to put quotes around fonts that have whitespace in their names.\n",
       "            return /\\s/.test( f ) ? '&quot;' + f + '&quot;' : f;\n",
       "        }).join(', ');\n",
       "        var sprite = addLabel( json.text, a[0]*json.x, a[1]*json.y, a[2]*json.z, json.color,\n",
       "                               json.fontSize, json.fontFamily, json.fontStyle, json.fontWeight,\n",
       "                               json.opacity );\n",
       "        sprite.userData = json;\n",
       "    }\n",
       "\n",
       "    var points = [];\n",
       "    for ( var i=0 ; i < points.length ; i++ ) addPoint( points[i] );\n",
       "\n",
       "    function addPoint( json ) {\n",
       "\n",
       "        var geometry = new THREE.Geometry();\n",
       "        var v = json.point;\n",
       "        geometry.vertices.push( new THREE.Vector3( a[0]*v[0], a[1]*v[1], a[2]*v[2] ) );\n",
       "\n",
       "        var canvas = document.createElement( 'canvas' );\n",
       "        canvas.width = 128;\n",
       "        canvas.height = 128;\n",
       "\n",
       "        var context = canvas.getContext( '2d' );\n",
       "        context.arc( 64, 64, 64, 0, 2 * Math.PI );\n",
       "        context.fillStyle = json.color;\n",
       "        context.fill();\n",
       "\n",
       "        var texture = new THREE.Texture( canvas );\n",
       "        texture.needsUpdate = true;\n",
       "\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var size = camera.isOrthographicCamera ? json.size : json.size/100;\n",
       "        var material = new THREE.PointsMaterial( { size: size, map: texture,\n",
       "                                                   transparent: transparent, opacity: json.opacity,\n",
       "                                                   alphaTest: .1 } );\n",
       "\n",
       "        var c = new THREE.Vector3();\n",
       "        geometry.computeBoundingBox();\n",
       "        geometry.boundingBox.getCenter( c );\n",
       "        geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "        var mesh = new THREE.Points( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        mesh.userData = json;\n",
       "        scene.add( mesh );\n",
       "\n",
       "    }\n",
       "\n",
       "    var lines = [];\n",
       "    for ( var i=0 ; i < lines.length ; i++ ) addLine( lines[i] );\n",
       "\n",
       "    function addLine( json ) {\n",
       "\n",
       "        var geometry = new THREE.Geometry();\n",
       "        for ( var i=0 ; i < json.points.length ; i++ ) {\n",
       "            var v = json.points[i];\n",
       "            geometry.vertices.push( new THREE.Vector3( a[0]*v[0], a[1]*v[1], a[2]*v[2] ) );\n",
       "        }\n",
       "\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var material = new THREE.LineBasicMaterial( { color: json.color, linewidth: json.linewidth,\n",
       "                                                      transparent: transparent, opacity: json.opacity } );\n",
       "\n",
       "        var c = new THREE.Vector3();\n",
       "        geometry.computeBoundingBox();\n",
       "        geometry.boundingBox.getCenter( c );\n",
       "        geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "        var mesh = new THREE.Line( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        mesh.userData = json;\n",
       "        scene.add( mesh );\n",
       "\n",
       "    }\n",
       "\n",
       "    var surfaces = [{&quot;vertices&quot;: [{&quot;x&quot;: 4.0, &quot;y&quot;: 8.0, &quot;z&quot;: 4.0}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.987050262637913, &quot;z&quot;: 4.16041128085776}, {&quot;x&quot;: 4.639567839474017, &quot;y&quot;: 7.935419008887312, &quot;z&quot;: 4.16041128085776}, {&quot;x&quot;: 4.641645123431041, &quot;y&quot;: 7.948201050551651, &quot;z&quot;: 4.0}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.948536441947145, &quot;z&quot;: 4.316667993801472}, {&quot;x&quot;: 4.633389788166285, &quot;y&quot;: 7.8974039320593, &quot;z&quot;: 4.316667993801472}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.88545602565321, &quot;z&quot;: 4.464723172043769}, {&quot;x&quot;: 4.623270977791534, &quot;y&quot;: 7.835140390589062, &quot;z&quot;: 4.464723172043769}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.799442763403501, &quot;z&quot;: 4.6007422642379785}, {&quot;x&quot;: 4.609473480223304, &quot;y&quot;: 7.750240977495143, &quot;z&quot;: 4.6007422642379785}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.6927243535095995, &quot;z&quot;: 4.721202447343814}, {&quot;x&quot;: 4.592354643401119, &quot;y&quot;: 7.644904542981067, &quot;z&quot;: 4.721202447343814}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.568064746731156, &quot;z&quot;: 4.822983865893656}, {&quot;x&quot;: 4.572357836206565, &quot;y&quot;: 7.521859245370065, &quot;z&quot;: 4.822983865893656}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.428692561403055, &quot;z&quot;: 4.903450434610383}, {&quot;x&quot;: 4.5500009654421385, &quot;y&quot;: 7.384291893237544, &quot;z&quot;: 4.903450434610383}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.278217463916453, &quot;z&quot;: 4.960518111631372}, {&quot;x&quot;: 4.525863062317117, &quot;y&quot;: 7.235765408742927, &quot;z&quot;: 4.960518111631372}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.120536680255324, &quot;z&quot;: 4.992708874098054}, {&quot;x&quot;: 4.50056928584338, &quot;y&quot;: 7.080126549817258, &quot;z&quot;: 4.992708874098054}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.959734059890586, &quot;z&quot;: 4.99918899817157}, {&quot;x&quot;: 4.474774731545388, &quot;y&quot;: 6.921406281153379, &quot;z&quot;: 4.99918899817157}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.799974306223956, &quot;z&quot;: 4.979790652042268}, {&quot;x&quot;: 4.449147464830204, &quot;y&quot;: 6.763715374337764, &quot;z&quot;: 4.979790652042268}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.645395112957464, &quot;z&quot;: 4.935016242685415}, {&quot;x&quot;: 4.424351218444366, &quot;y&quot;: 6.611137941025717, &quot;z&quot;: 4.935016242685415}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.5, &quot;z&quot;: 4.866025403784439}, {&quot;x&quot;: 4.401028202144401, &quot;y&quot;: 6.467625656594782, &quot;z&quot;: 4.866025403784439}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.367554624404623, &quot;z&quot;: 4.774604961827655}, {&quot;x&quot;: 4.379782469801459, &quot;y&quot;: 6.336895413828188, &quot;z&quot;: 4.774604961827655}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.251489251828899, &quot;z&quot;: 4.663122658240796}, {&quot;x&quot;: 4.361164274723354, &quot;y&quot;: 6.222333057344153, &quot;z&quot;: 4.663122658240796}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.154809914456205, &quot;z&quot;: 4.534465826127802}, {&quot;x&quot;: 4.34565581838292, &quot;y&quot;: 6.126905691998775, &quot;z&quot;: 4.534465826127802}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.080020556341176, &quot;z&quot;: 4.391966609860075}, {&quot;x&quot;: 4.333658761653159, &quot;y&quot;: 6.053084836428815, &quot;z&quot;: 4.391966609860075}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.029058182573948, &quot;z&quot;: 4.239315664287558}, {&quot;x&quot;: 4.3254838220016065, &quot;y&quot;: 6.002782412017222, &quot;z&quot;: 4.239315664287558}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.00324269186579, &quot;z&quot;: 4.080466568716726}, {&quot;x&quot;: 4.321342726071139, &quot;y&quot;: 5.9773012251336075, &quot;z&quot;: 4.080466568716726}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.00324269186579, &quot;z&quot;: 3.919533431283274}, {&quot;x&quot;: 4.321342726071139, &quot;y&quot;: 5.9773012251336075, &quot;z&quot;: 3.919533431283274}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.029058182573948, &quot;z&quot;: 3.7606843357124418}, {&quot;x&quot;: 4.3254838220016065, &quot;y&quot;: 6.002782412017222, &quot;z&quot;: 3.7606843357124418}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.080020556341176, &quot;z&quot;: 3.608033390139924}, {&quot;x&quot;: 4.333658761653159, &quot;y&quot;: 6.053084836428815, &quot;z&quot;: 3.608033390139924}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.154809914456205, &quot;z&quot;: 3.4655341738721983}, {&quot;x&quot;: 4.34565581838292, &quot;y&quot;: 6.126905691998776, &quot;z&quot;: 3.4655341738721983}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.251489251828899, &quot;z&quot;: 3.336877341759204}, {&quot;x&quot;: 4.361164274723354, &quot;y&quot;: 6.222333057344153, &quot;z&quot;: 3.336877341759204}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.367554624404624, &quot;z&quot;: 3.2253950381723446}, {&quot;x&quot;: 4.379782469801459, &quot;y&quot;: 6.336895413828189, &quot;z&quot;: 3.2253950381723446}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.500000000000002, &quot;z&quot;: 3.1339745962155607}, {&quot;x&quot;: 4.401028202144401, &quot;y&quot;: 6.467625656594784, &quot;z&quot;: 3.1339745962155607}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.645395112957466, &quot;z&quot;: 3.0649837573145846}, {&quot;x&quot;: 4.424351218444366, &quot;y&quot;: 6.611137941025717, &quot;z&quot;: 3.0649837573145846}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.799974306223957, &quot;z&quot;: 3.020209347957732}, {&quot;x&quot;: 4.449147464830204, &quot;y&quot;: 6.763715374337765, &quot;z&quot;: 3.020209347957732}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.959734059890587, &quot;z&quot;: 3.0008110018284304}, {&quot;x&quot;: 4.474774731545388, &quot;y&quot;: 6.92140628115338, &quot;z&quot;: 3.0008110018284304}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.120536680255325, &quot;z&quot;: 3.007291125901946}, {&quot;x&quot;: 4.50056928584338, &quot;y&quot;: 7.080126549817259, &quot;z&quot;: 3.007291125901946}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.278217463916455, &quot;z&quot;: 3.0394818883686283}, {&quot;x&quot;: 4.525863062317117, &quot;y&quot;: 7.235765408742929, &quot;z&quot;: 3.0394818883686283}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.428692561403056, &quot;z&quot;: 3.0965495653896187}, {&quot;x&quot;: 4.550000965442139, &quot;y&quot;: 7.384291893237545, &quot;z&quot;: 3.0965495653896187}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.568064746731158, &quot;z&quot;: 3.1770161341063448}, {&quot;x&quot;: 4.572357836206565, &quot;y&quot;: 7.5218592453700674, &quot;z&quot;: 3.1770161341063448}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.692724353509601, &quot;z&quot;: 3.2787975526561874}, {&quot;x&quot;: 4.592354643401119, &quot;y&quot;: 7.6449045429810685, &quot;z&quot;: 3.2787975526561874}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.799442763403503, &quot;z&quot;: 3.3992577357620233}, {&quot;x&quot;: 4.609473480223304, &quot;y&quot;: 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&quot;z&quot;: 4.0}, {&quot;x&quot;: 5.250375113523407, &quot;y&quot;: 7.745330707543187, &quot;z&quot;: 4.316667993801472}, {&quot;x&quot;: 5.230399564647445, &quot;y&quot;: 7.685496633915193, &quot;z&quot;: 4.464723172043769}, {&quot;x&quot;: 5.20316191745051, &quot;y&quot;: 7.6039099201805875, &quot;z&quot;: 4.6007422642379785}, {&quot;x&quot;: 5.169367612687724, &quot;y&quot;: 7.502683619369568, &quot;z&quot;: 4.721202447343814}, {&quot;x&quot;: 5.129891905101114, &quot;y&quot;: 7.3844394395014135, &quot;z&quot;: 4.822983865893656}, {&quot;x&quot;: 5.085757194781538, &quot;y&quot;: 7.252239842723898, &quot;z&quot;: 4.903450434610383}, {&quot;x&quot;: 5.038106547543374, &quot;y&quot;: 7.1095087291523065, &quot;z&quot;: 4.960518111631372}, {&quot;x&quot;: 4.98817409012036, &quot;y&quot;: 6.9599427596549415, &quot;z&quot;: 4.992708874098054}, {&quot;x&quot;: 4.937253046931438, &quot;y&quot;: 6.807415614278396, &quot;z&quot;: 4.99918899817157}, {&quot;x&quot;: 4.88666224624761, 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&quot;y&quot;: 6.959942759654943, &quot;z&quot;: 3.007291125901946}, {&quot;x&quot;: 5.038106547543375, &quot;y&quot;: 7.109508729152308, &quot;z&quot;: 3.0394818883686283}, {&quot;x&quot;: 5.085757194781538, &quot;y&quot;: 7.2522398427239, &quot;z&quot;: 3.0965495653896187}, {&quot;x&quot;: 5.129891905101115, &quot;y&quot;: 7.384439439501415, &quot;z&quot;: 3.1770161341063448}, {&quot;x&quot;: 5.169367612687725, &quot;y&quot;: 7.50268361936957, &quot;z&quot;: 3.2787975526561874}, {&quot;x&quot;: 5.20316191745051, &quot;y&quot;: 7.603909920180588, &quot;z&quot;: 3.3992577357620233}, {&quot;x&quot;: 5.2303995646474455, &quot;y&quot;: 7.685496633915194, &quot;z&quot;: 3.535276827956234}, {&quot;x&quot;: 5.250375113523408, &quot;y&quot;: 7.745330707543188, &quot;z&quot;: 3.68333200619853}, {&quot;x&quot;: 5.262571207855181, &quot;y&quot;: 7.781862469986998, &quot;z&quot;: 3.8395887191422426}, {&quot;x&quot;: 5.26667197520589, &quot;y&quot;: 7.7941457677885815, &quot;z&quot;: 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[1301, 1302, 1342, 1341], [1302, 1303, 1343, 1342], [1303, 1304, 1344, 1343], [1304, 1305, 1345, 1344], [1305, 1306, 1346, 1345], [1306, 1307, 1347, 1346], [1307, 1308, 1348, 1347], [1308, 1309, 1349, 1348], [1309, 1310, 1350, 1349], [1310, 1311, 1351, 1350], [1311, 1312, 1352, 1351], [1312, 1313, 1353, 1352], [1313, 1314, 1354, 1353], [1314, 1315, 1355, 1354], [1315, 1316, 1356, 1355], [1316, 1317, 1357, 1356], [1317, 1318, 1358, 1357], [1318, 1319, 1359, 1358], [1321, 1320, 1360, 1361], [1320, 1322, 1362, 1360], [1322, 1323, 1363, 1362], [1323, 1324, 1364, 1363], [1324, 1325, 1365, 1364], [1325, 1326, 1366, 1365], [1326, 1327, 1367, 1366], [1327, 1328, 1368, 1367], [1328, 1329, 1369, 1368], [1329, 1330, 1370, 1369], [1330, 1331, 1371, 1370], [1331, 1332, 1372, 1371], [1332, 1333, 1373, 1372], [1333, 1334, 1374, 1373], [1334, 1335, 1375, 1374], [1335, 1336, 1376, 1375], [1336, 1337, 1377, 1376], [1337, 1338, 1378, 1377], [1338, 1339, 1379, 1378], [1339, 1340, 1380, 1379], [1340, 1341, 1381, 1380], [1341, 1342, 1382, 1381], [1342, 1343, 1383, 1382], [1343, 1344, 1384, 1383], [1344, 1345, 1385, 1384], [1345, 1346, 1386, 1385], [1346, 1347, 1387, 1386], [1347, 1348, 1388, 1387], [1348, 1349, 1389, 1388], [1349, 1350, 1390, 1389], [1350, 1351, 1391, 1390], [1351, 1352, 1392, 1391], [1352, 1353, 1393, 1392], [1353, 1354, 1394, 1393], [1354, 1355, 1395, 1394], [1355, 1356, 1396, 1395], [1356, 1357, 1397, 1396], [1357, 1358, 1398, 1397], [1358, 1359, 1399, 1398], [1361, 1360, 1400, 1401], [1360, 1362, 1402, 1400], [1362, 1363, 1403, 1402], [1363, 1364, 1404, 1403], [1364, 1365, 1405, 1404], [1365, 1366, 1406, 1405], [1366, 1367, 1407, 1406], [1367, 1368, 1408, 1407], [1368, 1369, 1409, 1408], [1369, 1370, 1410, 1409], [1370, 1371, 1411, 1410], [1371, 1372, 1412, 1411], [1372, 1373, 1413, 1412], [1373, 1374, 1414, 1413], [1374, 1375, 1415, 1414], [1375, 1376, 1416, 1415], [1376, 1377, 1417, 1416], [1377, 1378, 1418, 1417], [1378, 1379, 1419, 1418], [1379, 1380, 1420, 1419], [1380, 1381, 1421, 1420], [1381, 1382, 1422, 1421], [1382, 1383, 1423, 1422], [1383, 1384, 1424, 1423], [1384, 1385, 1425, 1424], [1385, 1386, 1426, 1425], [1386, 1387, 1427, 1426], [1387, 1388, 1428, 1427], [1388, 1389, 1429, 1428], [1389, 1390, 1430, 1429], [1390, 1391, 1431, 1430], [1391, 1392, 1432, 1431], [1392, 1393, 1433, 1432], [1393, 1394, 1434, 1433], [1394, 1395, 1435, 1434], [1395, 1396, 1436, 1435], [1396, 1397, 1437, 1436], [1397, 1398, 1438, 1437], [1398, 1399, 1439, 1438], [1401, 1400, 1440, 1441], [1400, 1402, 1442, 1440], [1402, 1403, 1443, 1442], [1403, 1404, 1444, 1443], [1404, 1405, 1445, 1444], [1405, 1406, 1446, 1445], [1406, 1407, 1447, 1446], [1407, 1408, 1448, 1447], [1408, 1409, 1449, 1448], [1409, 1410, 1450, 1449], [1410, 1411, 1451, 1450], [1411, 1412, 1452, 1451], [1412, 1413, 1453, 1452], [1413, 1414, 1454, 1453], [1414, 1415, 1455, 1454], [1415, 1416, 1456, 1455], [1416, 1417, 1457, 1456], [1417, 1418, 1458, 1457], [1418, 1419, 1459, 1458], [1419, 1420, 1460, 1459], [1420, 1421, 1461, 1460], [1421, 1422, 1462, 1461], [1422, 1423, 1463, 1462], [1423, 1424, 1464, 1463], [1424, 1425, 1465, 1464], [1425, 1426, 1466, 1465], [1426, 1427, 1467, 1466], [1427, 1428, 1468, 1467], [1428, 1429, 1469, 1468], [1429, 1430, 1470, 1469], [1430, 1431, 1471, 1470], [1431, 1432, 1472, 1471], [1432, 1433, 1473, 1472], [1433, 1434, 1474, 1473], [1434, 1435, 1475, 1474], [1435, 1436, 1476, 1475], [1436, 1437, 1477, 1476], [1437, 1438, 1478, 1477], [1438, 1439, 1479, 1478], [1441, 1440, 1480, 1481], [1440, 1442, 1482, 1480], [1442, 1443, 1483, 1482], [1443, 1444, 1484, 1483], [1444, 1445, 1485, 1484], [1445, 1446, 1486, 1485], [1446, 1447, 1487, 1486], [1447, 1448, 1488, 1487], [1448, 1449, 1489, 1488], [1449, 1450, 1490, 1489], [1450, 1451, 1491, 1490], [1451, 1452, 1492, 1491], [1452, 1453, 1493, 1492], [1453, 1454, 1494, 1493], [1454, 1455, 1495, 1494], [1455, 1456, 1496, 1495], [1456, 1457, 1497, 1496], [1457, 1458, 1498, 1497], [1458, 1459, 1499, 1498], [1459, 1460, 1500, 1499], [1460, 1461, 1501, 1500], [1461, 1462, 1502, 1501], [1462, 1463, 1503, 1502], [1463, 1464, 1504, 1503], [1464, 1465, 1505, 1504], [1465, 1466, 1506, 1505], [1466, 1467, 1507, 1506], [1467, 1468, 1508, 1507], [1468, 1469, 1509, 1508], [1469, 1470, 1510, 1509], [1470, 1471, 1511, 1510], [1471, 1472, 1512, 1511], [1472, 1473, 1513, 1512], [1473, 1474, 1514, 1513], [1474, 1475, 1515, 1514], [1475, 1476, 1516, 1515], [1476, 1477, 1517, 1516], [1477, 1478, 1518, 1517], [1478, 1479, 1519, 1518], [1481, 1480, 1520, 1521], [1480, 1482, 1522, 1520], [1482, 1483, 1523, 1522], [1483, 1484, 1524, 1523], [1484, 1485, 1525, 1524], [1485, 1486, 1526, 1525], [1486, 1487, 1527, 1526], [1487, 1488, 1528, 1527], [1488, 1489, 1529, 1528], [1489, 1490, 1530, 1529], [1490, 1491, 1531, 1530], [1491, 1492, 1532, 1531], [1492, 1493, 1533, 1532], [1493, 1494, 1534, 1533], [1494, 1495, 1535, 1534], [1495, 1496, 1536, 1535], [1496, 1497, 1537, 1536], [1497, 1498, 1538, 1537], [1498, 1499, 1539, 1538], [1499, 1500, 1540, 1539], [1500, 1501, 1541, 1540], [1501, 1502, 1542, 1541], [1502, 1503, 1543, 1542], [1503, 1504, 1544, 1543], [1504, 1505, 1545, 1544], [1505, 1506, 1546, 1545], [1506, 1507, 1547, 1546], [1507, 1508, 1548, 1547], [1508, 1509, 1549, 1548], [1509, 1510, 1550, 1549], [1510, 1511, 1551, 1550], [1511, 1512, 1552, 1551], [1512, 1513, 1553, 1552], [1513, 1514, 1554, 1553], [1514, 1515, 1555, 1554], [1515, 1516, 1556, 1555], [1516, 1517, 1557, 1556], [1517, 1518, 1558, 1557], [1518, 1519, 1559, 1558], [1521, 1520, 1560, 1561], [1520, 1522, 1562, 1560], [1522, 1523, 1563, 1562], [1523, 1524, 1564, 1563], [1524, 1525, 1565, 1564], [1525, 1526, 1566, 1565], [1526, 1527, 1567, 1566], [1527, 1528, 1568, 1567], [1528, 1529, 1569, 1568], [1529, 1530, 1570, 1569], [1530, 1531, 1571, 1570], [1531, 1532, 1572, 1571], [1532, 1533, 1573, 1572], [1533, 1534, 1574, 1573], [1534, 1535, 1575, 1574], [1535, 1536, 1576, 1575], [1536, 1537, 1577, 1576], [1537, 1538, 1578, 1577], [1538, 1539, 1579, 1578], [1539, 1540, 1580, 1579], [1540, 1541, 1581, 1580], [1541, 1542, 1582, 1581], [1542, 1543, 1583, 1582], [1543, 1544, 1584, 1583], [1544, 1545, 1585, 1584], [1545, 1546, 1586, 1585], [1546, 1547, 1587, 1586], [1547, 1548, 1588, 1587], [1548, 1549, 1589, 1588], [1549, 1550, 1590, 1589], [1550, 1551, 1591, 1590], [1551, 1552, 1592, 1591], [1552, 1553, 1593, 1592], [1553, 1554, 1594, 1593], [1554, 1555, 1595, 1594], [1555, 1556, 1596, 1595], [1556, 1557, 1597, 1596], [1557, 1558, 1598, 1597], [1558, 1559, 1599, 1598]], &quot;color&quot;: &quot;#bdb76b&quot;, &quot;opacity&quot;: 1.0, &quot;showMeshGrid&quot;: true}];\n",
       "    for ( var i=0 ; i < surfaces.length ; i++ ) addSurface( surfaces[i] );\n",
       "\n",
       "    function addSurface( json ) {\n",
       "\n",
       "        var useFaceColors = 'faceColors' in json ? true : false;\n",
       "\n",
       "        var geometry = new THREE.Geometry();\n",
       "        for ( var i=0 ; i < json.vertices.length ; i++ ) {\n",
       "            var v = json.vertices[i];\n",
       "            geometry.vertices.push( new THREE.Vector3( a[0]*v.x, a[1]*v.y, a[2]*v.z ) );\n",
       "        }\n",
       "        for ( var i=0 ; i < json.faces.length ; i++ ) {\n",
       "            var f = json.faces[i];\n",
       "            for ( var j=0 ; j < f.length - 2 ; j++ ) {\n",
       "                var face = new THREE.Face3( f[0], f[j+1], f[j+2] );\n",
       "                if ( useFaceColors ) face.color.set( json.faceColors[i] );\n",
       "                geometry.faces.push( face );\n",
       "            }\n",
       "        }\n",
       "        geometry.computeVertexNormals();\n",
       "\n",
       "        var side = json.singleSide ? THREE.FrontSide : THREE.DoubleSide;\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var flatShading = json.useFlatShading ? json.useFlatShading : false;\n",
       "\n",
       "        var material = new THREE.MeshPhongMaterial( { side: side,\n",
       "                                     color: useFaceColors ? 'white' : json.color,\n",
       "                                     vertexColors: useFaceColors ? THREE.FaceColors : THREE.NoColors,\n",
       "                                     transparent: transparent, opacity: json.opacity,\n",
       "                                     shininess: 20, flatShading: flatShading } );\n",
       "\n",
       "        var c = new THREE.Vector3();\n",
       "        geometry.computeBoundingBox();\n",
       "        geometry.boundingBox.getCenter( c );\n",
       "        geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "        var mesh = new THREE.Mesh( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        if ( transparent && json.renderOrder ) mesh.renderOrder = json.renderOrder;\n",
       "        mesh.userData = json;\n",
       "        scene.add( mesh );\n",
       "\n",
       "        if ( json.showMeshGrid ) {\n",
       "\n",
       "            var geometry = new THREE.Geometry();\n",
       "\n",
       "            for ( var i=0 ; i < json.faces.length ; i++ ) {\n",
       "                var f = json.faces[i];\n",
       "                for ( var j=0 ; j < f.length ; j++ ) {\n",
       "                    var k = j === f.length-1 ? 0 : j+1;\n",
       "                    var v1 = json.vertices[f[j]];\n",
       "                    var v2 = json.vertices[f[k]];\n",
       "                    // vertices in opposite directions on neighboring faces\n",
       "                    var nudge = f[j] < f[k] ? .0005*zRange : -.0005*zRange;\n",
       "                    geometry.vertices.push( new THREE.Vector3( a[0]*v1.x, a[1]*v1.y, a[2]*(v1.z+nudge) ) );\n",
       "                    geometry.vertices.push( new THREE.Vector3( a[0]*v2.x, a[1]*v2.y, a[2]*(v2.z+nudge) ) );\n",
       "                }\n",
       "            }\n",
       "\n",
       "            var material = new THREE.LineBasicMaterial( { color: 'black', linewidth: 1 } );\n",
       "\n",
       "            var c = new THREE.Vector3();\n",
       "            geometry.computeBoundingBox();\n",
       "            geometry.boundingBox.getCenter( c );\n",
       "            geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "            var mesh = new THREE.LineSegments( geometry, material );\n",
       "            mesh.position.set( c.x, c.y, c.z );\n",
       "            mesh.userData = json;\n",
       "            scene.add( mesh );\n",
       "\n",
       "        }\n",
       "\n",
       "    }\n",
       "\n",
       "    function render() {\n",
       "\n",
       "        if ( window.updateAnimation ) animate = updateAnimation();\n",
       "        if ( animate ) requestAnimationFrame( render );\n",
       "\n",
       "        renderer.render( scene, camera );\n",
       "\n",
       "    }\n",
       "\n",
       "    render();\n",
       "    controls.update();\n",
       "    if ( !animate ) render();\n",
       "\n",
       "\n",
       "    // menu functions\n",
       "\n",
       "    function toggleMenu() {\n",
       "\n",
       "        var m = document.getElementById( 'menu-content' );\n",
       "        if ( m.style.display === 'block' ) m.style.display = 'none'\n",
       "        else m.style.display = 'block';\n",
       "\n",
       "    }\n",
       "\n",
       "\n",
       "    function saveAsPNG() {\n",
       "\n",
       "        var a = document.body.appendChild( document.createElement( 'a' ) );\n",
       "        a.href = renderer.domElement.toDataURL( 'image/png' );\n",
       "        a.download = 'screenshot';\n",
       "        a.click();\n",
       "\n",
       "    }\n",
       "\n",
       "    function saveAsHTML() {\n",
       "\n",
       "        toggleMenu(); // otherwise visible in output\n",
       "        event.stopPropagation();\n",
       "\n",
       "        var blob = new Blob( [ '<!DOCTYPE html>\\n' + document.documentElement.outerHTML ] );\n",
       "        var a = document.body.appendChild( document.createElement( 'a' ) );\n",
       "        a.href = window.URL.createObjectURL( blob );\n",
       "        a.download = 'graphic.html';\n",
       "        a.click();\n",
       "\n",
       "    }\n",
       "\n",
       "    function getViewpoint() {\n",
       "\n",
       "        function roundTo( x, n ) { return +x.toFixed(n); }\n",
       "\n",
       "        var v = camera.quaternion.inverse();\n",
       "        var r = Math.sqrt( v.x*v.x + v.y*v.y + v.z*v.z );\n",
       "        var axis = [ roundTo( v.x / r, 4 ), roundTo( v.y / r, 4 ), roundTo( v.z / r, 4 ) ];\n",
       "        var angle = roundTo( 2 * Math.atan2( r, v.w ) * 180 / Math.PI, 2 );\n",
       "\n",
       "        var textArea = document.createElement( 'textarea' );\n",
       "        textArea.textContent = JSON.stringify( axis ) + ',' + angle;\n",
       "        textArea.style.csstext = 'position: absolute; top: -100%';\n",
       "        document.body.append( textArea );\n",
       "        textArea.select();\n",
       "        document.execCommand( 'copy' );\n",
       "\n",
       "        var m = document.getElementById( 'menu-message' );\n",
       "        m.innerHTML = 'Viewpoint copied to clipboard';\n",
       "        m.style.display = 'block';\n",
       "        setTimeout( function() { m.style.display = 'none'; }, 2000 );\n",
       "\n",
       "    }\n",
       "\n",
       "</script>\n",
       "\n",
       "<div id=&quot;menu-container&quot; onclick=&quot;toggleMenu()&quot;>&#x24d8;\n",
       "<div id=&quot;menu-message&quot;></div>\n",
       "<div id=&quot;menu-content&quot;>\n",
       "<div onclick=&quot;saveAsPNG()&quot;>Save as PNG</div>\n",
       "<div onclick=&quot;saveAsHTML()&quot;>Save as HTML</div>\n",
       "<div onclick=&quot;getViewpoint()&quot;>Get Viewpoint</div>\n",
       "<div>Close Menu</div>\n",
       "</div></div>\n",
       "\n",
       "\n",
       "</body>\n",
       "</html>\n",
       "\"\n",
       "        width=\"100%\"\n",
       "        height=\"400\"\n",
       "        style=\"border: 0;\">\n",
       "</iframe>\n"
      ],
      "text/plain": [
       "Graphics3d Object"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t0 = parametric_plot3d(toro0,(u,0,2*pi), (v,0,2*pi),color=colors.darkkhaki, mesh=True); t0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Definindo como um vetor, podemos atribuir variáveis simbólicas aos parâmetros e fixá-los com `.subs()`  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "var('a b r R')\n",
    "toro = vector([4+a+(b+r*cos(v))*cos(u), a+R*sin(v),a+(b+r*cos(v))*sin(u)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<iframe srcdoc=\"<!DOCTYPE html>\n",
       "<html>\n",
       "<head>\n",
       "<title></title>\n",
       "<meta charset=&quot;utf-8&quot;>\n",
       "<meta name=viewport content=&quot;width=device-width, user-scalable=no, minimum-scale=1.0, maximum-scale=1.0&quot;>\n",
       "<style>\n",
       "\n",
       "    body { margin: 0px; overflow: hidden; }\n",
       "\n",
       "    #menu-container { position: absolute; bottom: 30px; right: 40px; cursor: default; }\n",
       "\n",
       "    #menu-message { position: absolute; bottom: 0px; right: 0px; white-space: nowrap;\n",
       "                    display: none; background-color: #F5F5F5; padding: 10px; }\n",
       "\n",
       "    #menu-content { position: absolute; bottom: 0px; right: 0px;\n",
       "                    display: none; background-color: #F5F5F5; border-bottom: 1px solid black;\n",
       "                    border-right: 1px solid black; border-left: 1px solid black; }\n",
       "\n",
       "    #menu-content div { border-top: 1px solid black; padding: 10px; white-space: nowrap; }\n",
       "\n",
       "    #menu-content div:hover { background-color: #FEFEFE;; }\n",
       "\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "\n",
       "<body>\n",
       "\n",
       "<script src=&quot;/nbextensions/threejs/build/three.min.js&quot;></script>\n",
       "<script src=&quot;/nbextensions/threejs/examples/js/controls/OrbitControls.js&quot;></script>\n",
       "<script>\n",
       "  if ( !window.THREE ) document.write(' \\\n",
       "<script src=&quot;https://cdn.jsdelivr.net/gh/mrdoob/three.js@r117/build/three.min.js&quot;><\\/script> \\\n",
       "<script src=&quot;https://cdn.jsdelivr.net/gh/mrdoob/three.js@r117/examples/js/controls/OrbitControls.js&quot;><\\/script> \\\n",
       "            ');\n",
       "</script>\n",
       "        \n",
       "<script>\n",
       "\n",
       "    var scene = new THREE.Scene();\n",
       "\n",
       "    var renderer = new THREE.WebGLRenderer( { antialias: true, preserveDrawingBuffer: true } );\n",
       "    renderer.setPixelRatio( window.devicePixelRatio );\n",
       "    renderer.setSize( window.innerWidth, window.innerHeight );\n",
       "    renderer.setClearColor( 0xffffff, 1 );\n",
       "    document.body.appendChild( renderer.domElement );\n",
       "\n",
       "    var options = {&quot;animate&quot;: false, &quot;animationControls&quot;: true, &quot;aspectRatio&quot;: [1.0, 1.0, 1.0], &quot;autoPlay&quot;: true, &quot;axes&quot;: false, &quot;axesLabels&quot;: false, &quot;decimals&quot;: 2, &quot;delay&quot;: 20, &quot;frame&quot;: false, &quot;loop&quot;: true, &quot;projection&quot;: &quot;perspective&quot;, &quot;viewpoint&quot;: false};\n",
       "    var animate = options.animate;\n",
       "\n",
       "    var b = [{&quot;x&quot;:4.01297076746316, &quot;y&quot;:3.0008110018284304, &quot;z&quot;:0.003244007313721209}, {&quot;x&quot;:12.0, &quot;y&quot;:4.99918899817157, &quot;z&quot;:7.996755992686278}]; // bounds\n",
       "\n",
       "    if ( b[0].x === b[1].x ) {\n",
       "        b[0].x -= 1;\n",
       "        b[1].x += 1;\n",
       "    }\n",
       "    if ( b[0].y === b[1].y ) {\n",
       "        b[0].y -= 1;\n",
       "        b[1].y += 1;\n",
       "    }\n",
       "    if ( b[0].z === b[1].z ) {\n",
       "        b[0].z -= 1;\n",
       "        b[1].z += 1;\n",
       "    }\n",
       "\n",
       "    var rRange = Math.sqrt( Math.pow( b[1].x - b[0].x, 2 )\n",
       "                            + Math.pow( b[1].y - b[0].y, 2 ) );\n",
       "    var xRange = b[1].x - b[0].x;\n",
       "    var yRange = b[1].y - b[0].y;\n",
       "    var zRange = b[1].z - b[0].z;\n",
       "\n",
       "    var ar = options.aspectRatio;\n",
       "    var a = [ ar[0], ar[1], ar[2] ]; // aspect multipliers\n",
       "    var autoAspect = 2.5;\n",
       "    if ( zRange > autoAspect * rRange && a[2] === 1 ) a[2] = autoAspect * rRange / zRange;\n",
       "\n",
       "    // Distance from (xMid,yMid,zMid) to any corner of the bounding box, after applying aspectRatio\n",
       "    var midToCorner = Math.sqrt( a[0]*a[0]*xRange*xRange + a[1]*a[1]*yRange*yRange + a[2]*a[2]*zRange*zRange ) / 2;\n",
       "\n",
       "    var xMid = ( b[0].x + b[1].x ) / 2;\n",
       "    var yMid = ( b[0].y + b[1].y ) / 2;\n",
       "    var zMid = ( b[0].z + b[1].z ) / 2;\n",
       "\n",
       "    var box = new THREE.Geometry();\n",
       "    box.vertices.push( new THREE.Vector3( a[0]*b[0].x, a[1]*b[0].y, a[2]*b[0].z ) );\n",
       "    box.vertices.push( new THREE.Vector3( a[0]*b[1].x, a[1]*b[1].y, a[2]*b[1].z ) );\n",
       "    var boxMesh = new THREE.Line( box );\n",
       "    if ( options.frame ) scene.add( new THREE.BoxHelper( boxMesh, 'black' ) );\n",
       "\n",
       "    if ( options.axesLabels ) {\n",
       "\n",
       "        var d = options.decimals; // decimals\n",
       "        var offsetRatio = 0.1;\n",
       "        var al = options.axesLabels;\n",
       "\n",
       "        var offset = offsetRatio * a[1]*( b[1].y - b[0].y );\n",
       "        var xm = xMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(xm) ) xm = xm.substr(1);\n",
       "        addLabel( al[0] + '=' + xm, a[0]*xMid, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[0].x ).toFixed(d), a[0]*b[0].x, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].x ).toFixed(d), a[0]*b[1].x, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "\n",
       "        var offset = offsetRatio * a[0]*( b[1].x - b[0].x );\n",
       "        var ym = yMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(ym) ) ym = ym.substr(1);\n",
       "        addLabel( al[1] + '=' + ym, a[0]*b[1].x+offset, a[1]*yMid, a[2]*b[0].z );\n",
       "        addLabel( ( b[0].y ).toFixed(d), a[0]*b[1].x+offset, a[1]*b[0].y, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].y ).toFixed(d), a[0]*b[1].x+offset, a[1]*b[1].y, a[2]*b[0].z );\n",
       "\n",
       "        var offset = offsetRatio * a[1]*( b[1].y - b[0].y );\n",
       "        var zm = zMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(zm) ) zm = zm.substr(1);\n",
       "        addLabel( al[2] + '=' + zm, a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*zMid );\n",
       "        addLabel( ( b[0].z ).toFixed(d), a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].z ).toFixed(d), a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*b[1].z );\n",
       "\n",
       "    }\n",
       "\n",
       "    function addLabel( text, x, y, z, color='black', fontSize=14, fontFamily='monospace',\n",
       "                       fontStyle='normal', fontWeight='normal', opacity=1 ) {\n",
       "\n",
       "        var canvas = document.createElement( 'canvas' );\n",
       "        var context = canvas.getContext( '2d' );\n",
       "        var pixelRatio = Math.round( window.devicePixelRatio );\n",
       "\n",
       "        var font = [fontStyle, fontWeight, fontSize + 'px', fontFamily].join(' ');\n",
       "\n",
       "        context.font = font;\n",
       "        var width = context.measureText( text ).width;\n",
       "        var height = fontSize;\n",
       "\n",
       "        // The dimensions of the canvas's underlying image data need to be powers\n",
       "        // of two in order for the resulting texture to support mipmapping.\n",
       "        canvas.width = THREE.MathUtils.ceilPowerOfTwo( width * pixelRatio );\n",
       "        canvas.height = THREE.MathUtils.ceilPowerOfTwo( height * pixelRatio );\n",
       "\n",
       "        // Re-compute the unscaled dimensions after the power of two conversion.\n",
       "        width = canvas.width / pixelRatio;\n",
       "        height = canvas.height / pixelRatio;\n",
       "\n",
       "        canvas.style.width = width + 'px';\n",
       "        canvas.style.height = height + 'px';\n",
       "\n",
       "        context.scale( pixelRatio, pixelRatio );\n",
       "        context.fillStyle = color;\n",
       "        context.font = font; // Must be set again after measureText.\n",
       "        context.textAlign = 'center';\n",
       "        context.textBaseline = 'middle';\n",
       "        context.fillText( text, width/2, height/2 );\n",
       "\n",
       "        var texture = new THREE.Texture( canvas );\n",
       "        texture.needsUpdate = true;\n",
       "\n",
       "        var materialOptions = { map: texture, sizeAttenuation: false };\n",
       "        if ( opacity < 1 ) {\n",
       "            // Setting opacity=1 would cause the texture's alpha component to be\n",
       "            // discarded, giving the text a black background instead of the\n",
       "            // background being transparent.\n",
       "            materialOptions.opacity = opacity;\n",
       "        }\n",
       "        var sprite = new THREE.Sprite( new THREE.SpriteMaterial( materialOptions ) );\n",
       "        sprite.position.set( x, y, z );\n",
       "\n",
       "        // Scaling factor, chosen somewhat arbitrarily so that the size of the text\n",
       "        // is consistent with previously generated plots.\n",
       "        var scale = 1/625;\n",
       "        if ( options.projection === 'orthographic' ) {\n",
       "            scale = midToCorner/256; // Needs to scale along with the plot itself.\n",
       "        }\n",
       "        sprite.scale.set( scale * width, scale * height, 1 );\n",
       "\n",
       "        scene.add( sprite );\n",
       "\n",
       "        return sprite;\n",
       "\n",
       "    }\n",
       "\n",
       "    if ( options.axes ) scene.add( new THREE.AxesHelper( Math.min( a[0]*b[1].x, a[1]*b[1].y, a[2]*b[1].z ) ) );\n",
       "\n",
       "    var camera = createCamera();\n",
       "    camera.up.set( 0, 0, 1 );\n",
       "    camera.position.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "\n",
       "    var offset = new THREE.Vector3( a[0]*xRange, a[1]*yRange, a[2]*zRange );\n",
       "\n",
       "    if ( options.viewpoint ) {\n",
       "\n",
       "        var aa = options.viewpoint;\n",
       "        var axis = new THREE.Vector3( aa[0][0], aa[0][1], aa[0][2] ).normalize();\n",
       "        var angle = aa[1] * Math.PI / 180;\n",
       "        var q = new THREE.Quaternion().setFromAxisAngle( axis, angle ).inverse();\n",
       "\n",
       "        offset.set( 0, 0, offset.length() );\n",
       "        offset.applyQuaternion( q );\n",
       "\n",
       "    }\n",
       "\n",
       "    camera.position.add( offset );\n",
       "\n",
       "    function createCamera() {\n",
       "\n",
       "        var aspect = window.innerWidth / window.innerHeight;\n",
       "\n",
       "        if ( options.projection === 'orthographic' ) {\n",
       "            var camera = new THREE.OrthographicCamera( -1, 1, 1, -1, -1000, 1000 );\n",
       "            updateCameraAspect( camera, aspect );\n",
       "            return camera;\n",
       "        }\n",
       "\n",
       "        return new THREE.PerspectiveCamera( 45, aspect, 0.1, 1000 );\n",
       "\n",
       "    }\n",
       "\n",
       "    function updateCameraAspect( camera, aspect ) {\n",
       "\n",
       "        if ( camera.isPerspectiveCamera ) {\n",
       "            camera.aspect = aspect;\n",
       "        } else if ( camera.isOrthographicCamera ) {\n",
       "            // Fit the camera frustum to the bounding box's diagonal so that the entire plot fits\n",
       "            // within at the default zoom level and camera position.\n",
       "            if ( aspect > 1 ) { // Wide window\n",
       "                camera.top = midToCorner;\n",
       "                camera.right = midToCorner * aspect;\n",
       "            } else { // Tall or square window\n",
       "                camera.top = midToCorner / aspect;\n",
       "                camera.right = midToCorner;\n",
       "            }\n",
       "            camera.bottom = -camera.top;\n",
       "            camera.left = -camera.right;\n",
       "        }\n",
       "\n",
       "        camera.updateProjectionMatrix();\n",
       "\n",
       "    }\n",
       "\n",
       "    var lights = [{&quot;x&quot;:-5, &quot;y&quot;:3, &quot;z&quot;:0, &quot;color&quot;:&quot;#7f7f7f&quot;, &quot;parent&quot;:&quot;camera&quot;}];\n",
       "    for ( var i=0 ; i < lights.length ; i++ ) {\n",
       "        var light = new THREE.DirectionalLight( lights[i].color, 1 );\n",
       "        light.position.set( a[0]*lights[i].x, a[1]*lights[i].y, a[2]*lights[i].z );\n",
       "        if ( lights[i].parent === 'camera' ) {\n",
       "            light.target.position.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "            scene.add( light.target );\n",
       "            camera.add( light );\n",
       "        } else scene.add( light );\n",
       "    }\n",
       "    scene.add( camera );\n",
       "\n",
       "    var ambient = {&quot;color&quot;:&quot;#7f7f7f&quot;};\n",
       "    scene.add( new THREE.AmbientLight( ambient.color, 1 ) );\n",
       "\n",
       "    var controls = new THREE.OrbitControls( camera, renderer.domElement );\n",
       "    controls.target.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "    controls.addEventListener( 'change', function() { if ( !animate ) render(); } );\n",
       "\n",
       "    window.addEventListener( 'resize', function() {\n",
       "\n",
       "        renderer.setSize( window.innerWidth, window.innerHeight );\n",
       "        updateCameraAspect( camera, window.innerWidth / window.innerHeight );\n",
       "        if ( !animate ) render();\n",
       "\n",
       "    } );\n",
       "\n",
       "    var texts = [];\n",
       "    for ( var i=0 ; i < texts.length ; i++ ) addText( texts[i] );\n",
       "\n",
       "    function addText( json ) {\n",
       "        json.fontFamily = json.fontFamily.map( function( f ) {\n",
       "            // Need to put quotes around fonts that have whitespace in their names.\n",
       "            return /\\s/.test( f ) ? '&quot;' + f + '&quot;' : f;\n",
       "        }).join(', ');\n",
       "        var sprite = addLabel( json.text, a[0]*json.x, a[1]*json.y, a[2]*json.z, json.color,\n",
       "                               json.fontSize, json.fontFamily, json.fontStyle, json.fontWeight,\n",
       "                               json.opacity );\n",
       "        sprite.userData = json;\n",
       "    }\n",
       "\n",
       "    var points = [];\n",
       "    for ( var i=0 ; i < points.length ; i++ ) addPoint( points[i] );\n",
       "\n",
       "    function addPoint( json ) {\n",
       "\n",
       "        var geometry = new THREE.Geometry();\n",
       "        var v = json.point;\n",
       "        geometry.vertices.push( new THREE.Vector3( a[0]*v[0], a[1]*v[1], a[2]*v[2] ) );\n",
       "\n",
       "        var canvas = document.createElement( 'canvas' );\n",
       "        canvas.width = 128;\n",
       "        canvas.height = 128;\n",
       "\n",
       "        var context = canvas.getContext( '2d' );\n",
       "        context.arc( 64, 64, 64, 0, 2 * Math.PI );\n",
       "        context.fillStyle = json.color;\n",
       "        context.fill();\n",
       "\n",
       "        var texture = new THREE.Texture( canvas );\n",
       "        texture.needsUpdate = true;\n",
       "\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var size = camera.isOrthographicCamera ? json.size : json.size/100;\n",
       "        var material = new THREE.PointsMaterial( { size: size, map: texture,\n",
       "                                                   transparent: transparent, opacity: json.opacity,\n",
       "                                                   alphaTest: .1 } );\n",
       "\n",
       "        var c = new THREE.Vector3();\n",
       "        geometry.computeBoundingBox();\n",
       "        geometry.boundingBox.getCenter( c );\n",
       "        geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "        var mesh = new THREE.Points( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        mesh.userData = json;\n",
       "        scene.add( mesh );\n",
       "\n",
       "    }\n",
       "\n",
       "    var lines = [];\n",
       "    for ( var i=0 ; i < lines.length ; i++ ) addLine( lines[i] );\n",
       "\n",
       "    function addLine( json ) {\n",
       "\n",
       "        var geometry = new THREE.Geometry();\n",
       "        for ( var i=0 ; i < json.points.length ; i++ ) {\n",
       "            var v = json.points[i];\n",
       "            geometry.vertices.push( new THREE.Vector3( a[0]*v[0], a[1]*v[1], a[2]*v[2] ) );\n",
       "        }\n",
       "\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var material = new THREE.LineBasicMaterial( { color: json.color, linewidth: json.linewidth,\n",
       "                                                      transparent: transparent, opacity: json.opacity } );\n",
       "\n",
       "        var c = new THREE.Vector3();\n",
       "        geometry.computeBoundingBox();\n",
       "        geometry.boundingBox.getCenter( c );\n",
       "        geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "        var mesh = new THREE.Line( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        mesh.userData = json;\n",
       "        scene.add( mesh );\n",
       "\n",
       "    }\n",
       "\n",
       "    var surfaces = [{&quot;vertices&quot;: [{&quot;x&quot;: 12.0, &quot;y&quot;: 4.0, &quot;z&quot;: 4.0}, {&quot;x&quot;: 11.987050262637913, &quot;y&quot;: 4.16041128085776, &quot;z&quot;: 4.0}, {&quot;x&quot;: 11.935419008887312, &quot;y&quot;: 4.16041128085776, &quot;z&quot;: 4.639567839474017}, {&quot;x&quot;: 11.948201050551651, &quot;y&quot;: 4.0, &quot;z&quot;: 4.641645123431041}, {&quot;x&quot;: 11.948536441947144, &quot;y&quot;: 4.316667993801472, &quot;z&quot;: 4.0}, {&quot;x&quot;: 11.8974039320593, &quot;y&quot;: 4.316667993801472, &quot;z&quot;: 4.633389788166285}, {&quot;x&quot;: 11.885456025653209, &quot;y&quot;: 4.464723172043769, &quot;z&quot;: 4.0}, {&quot;x&quot;: 11.835140390589062, &quot;y&quot;: 4.464723172043769, &quot;z&quot;: 4.623270977791534}, {&quot;x&quot;: 11.799442763403501, &quot;y&quot;: 4.6007422642379785, &quot;z&quot;: 4.0}, {&quot;x&quot;: 11.750240977495142, &quot;y&quot;: 4.6007422642379785, &quot;z&quot;: 4.609473480223304}, {&quot;x&quot;: 11.6927243535096, &quot;y&quot;: 4.721202447343814, &quot;z&quot;: 4.0}, {&quot;x&quot;: 11.644904542981067, &quot;y&quot;: 4.721202447343814, &quot;z&quot;: 4.592354643401119}, {&quot;x&quot;: 11.568064746731157, &quot;y&quot;: 4.822983865893656, &quot;z&quot;: 4.0}, {&quot;x&quot;: 11.521859245370065, &quot;y&quot;: 4.822983865893656, &quot;z&quot;: 4.572357836206565}, {&quot;x&quot;: 11.428692561403054, &quot;y&quot;: 4.903450434610383, &quot;z&quot;: 4.0}, {&quot;x&quot;: 11.384291893237544, &quot;y&quot;: 4.903450434610383, &quot;z&quot;: 4.5500009654421385}, {&quot;x&quot;: 11.278217463916453, &quot;y&quot;: 4.960518111631372, &quot;z&quot;: 4.0}, {&quot;x&quot;: 11.235765408742928, &quot;y&quot;: 4.960518111631372, &quot;z&quot;: 4.525863062317117}, {&quot;x&quot;: 11.120536680255324, &quot;y&quot;: 4.992708874098054, &quot;z&quot;: 4.0}, {&quot;x&quot;: 11.080126549817258, &quot;y&quot;: 4.992708874098054, &quot;z&quot;: 4.50056928584338}, {&quot;x&quot;: 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[1512, 1513, 1553, 1552], [1513, 1514, 1554, 1553], [1514, 1515, 1555, 1554], [1515, 1516, 1556, 1555], [1516, 1517, 1557, 1556], [1517, 1518, 1558, 1557], [1518, 1519, 1559, 1558], [1521, 1520, 1560, 1561], [1520, 1522, 1562, 1560], [1522, 1523, 1563, 1562], [1523, 1524, 1564, 1563], [1524, 1525, 1565, 1564], [1525, 1526, 1566, 1565], [1526, 1527, 1567, 1566], [1527, 1528, 1568, 1567], [1528, 1529, 1569, 1568], [1529, 1530, 1570, 1569], [1530, 1531, 1571, 1570], [1531, 1532, 1572, 1571], [1532, 1533, 1573, 1572], [1533, 1534, 1574, 1573], [1534, 1535, 1575, 1574], [1535, 1536, 1576, 1575], [1536, 1537, 1577, 1576], [1537, 1538, 1578, 1577], [1538, 1539, 1579, 1578], [1539, 1540, 1580, 1579], [1540, 1541, 1581, 1580], [1541, 1542, 1582, 1581], [1542, 1543, 1583, 1582], [1543, 1544, 1584, 1583], [1544, 1545, 1585, 1584], [1545, 1546, 1586, 1585], [1546, 1547, 1587, 1586], [1547, 1548, 1588, 1587], [1548, 1549, 1589, 1588], [1549, 1550, 1590, 1589], [1550, 1551, 1591, 1590], [1551, 1552, 1592, 1591], [1552, 1553, 1593, 1592], [1553, 1554, 1594, 1593], [1554, 1555, 1595, 1594], [1555, 1556, 1596, 1595], [1556, 1557, 1597, 1596], [1557, 1558, 1598, 1597], [1558, 1559, 1599, 1598]], &quot;color&quot;: &quot;#808080&quot;, &quot;opacity&quot;: 1.0, &quot;showMeshGrid&quot;: true}];\n",
       "    for ( var i=0 ; i < surfaces.length ; i++ ) addSurface( surfaces[i] );\n",
       "\n",
       "    function addSurface( json ) {\n",
       "\n",
       "        var useFaceColors = 'faceColors' in json ? true : false;\n",
       "\n",
       "        var geometry = new THREE.Geometry();\n",
       "        for ( var i=0 ; i < json.vertices.length ; i++ ) {\n",
       "            var v = json.vertices[i];\n",
       "            geometry.vertices.push( new THREE.Vector3( a[0]*v.x, a[1]*v.y, a[2]*v.z ) );\n",
       "        }\n",
       "        for ( var i=0 ; i < json.faces.length ; i++ ) {\n",
       "            var f = json.faces[i];\n",
       "            for ( var j=0 ; j < f.length - 2 ; j++ ) {\n",
       "                var face = new THREE.Face3( f[0], f[j+1], f[j+2] );\n",
       "                if ( useFaceColors ) face.color.set( json.faceColors[i] );\n",
       "                geometry.faces.push( face );\n",
       "            }\n",
       "        }\n",
       "        geometry.computeVertexNormals();\n",
       "\n",
       "        var side = json.singleSide ? THREE.FrontSide : THREE.DoubleSide;\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var flatShading = json.useFlatShading ? json.useFlatShading : false;\n",
       "\n",
       "        var material = new THREE.MeshPhongMaterial( { side: side,\n",
       "                                     color: useFaceColors ? 'white' : json.color,\n",
       "                                     vertexColors: useFaceColors ? THREE.FaceColors : THREE.NoColors,\n",
       "                                     transparent: transparent, opacity: json.opacity,\n",
       "                                     shininess: 20, flatShading: flatShading } );\n",
       "\n",
       "        var c = new THREE.Vector3();\n",
       "        geometry.computeBoundingBox();\n",
       "        geometry.boundingBox.getCenter( c );\n",
       "        geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "        var mesh = new THREE.Mesh( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        if ( transparent && json.renderOrder ) mesh.renderOrder = json.renderOrder;\n",
       "        mesh.userData = json;\n",
       "        scene.add( mesh );\n",
       "\n",
       "        if ( json.showMeshGrid ) {\n",
       "\n",
       "            var geometry = new THREE.Geometry();\n",
       "\n",
       "            for ( var i=0 ; i < json.faces.length ; i++ ) {\n",
       "                var f = json.faces[i];\n",
       "                for ( var j=0 ; j < f.length ; j++ ) {\n",
       "                    var k = j === f.length-1 ? 0 : j+1;\n",
       "                    var v1 = json.vertices[f[j]];\n",
       "                    var v2 = json.vertices[f[k]];\n",
       "                    // vertices in opposite directions on neighboring faces\n",
       "                    var nudge = f[j] < f[k] ? .0005*zRange : -.0005*zRange;\n",
       "                    geometry.vertices.push( new THREE.Vector3( a[0]*v1.x, a[1]*v1.y, a[2]*(v1.z+nudge) ) );\n",
       "                    geometry.vertices.push( new THREE.Vector3( a[0]*v2.x, a[1]*v2.y, a[2]*(v2.z+nudge) ) );\n",
       "                }\n",
       "            }\n",
       "\n",
       "            var material = new THREE.LineBasicMaterial( { color: 'black', linewidth: 1 } );\n",
       "\n",
       "            var c = new THREE.Vector3();\n",
       "            geometry.computeBoundingBox();\n",
       "            geometry.boundingBox.getCenter( c );\n",
       "            geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "            var mesh = new THREE.LineSegments( geometry, material );\n",
       "            mesh.position.set( c.x, c.y, c.z );\n",
       "            mesh.userData = json;\n",
       "            scene.add( mesh );\n",
       "\n",
       "        }\n",
       "\n",
       "    }\n",
       "\n",
       "    function render() {\n",
       "\n",
       "        if ( window.updateAnimation ) animate = updateAnimation();\n",
       "        if ( animate ) requestAnimationFrame( render );\n",
       "\n",
       "        renderer.render( scene, camera );\n",
       "\n",
       "    }\n",
       "\n",
       "    render();\n",
       "    controls.update();\n",
       "    if ( !animate ) render();\n",
       "\n",
       "\n",
       "    // menu functions\n",
       "\n",
       "    function toggleMenu() {\n",
       "\n",
       "        var m = document.getElementById( 'menu-content' );\n",
       "        if ( m.style.display === 'block' ) m.style.display = 'none'\n",
       "        else m.style.display = 'block';\n",
       "\n",
       "    }\n",
       "\n",
       "\n",
       "    function saveAsPNG() {\n",
       "\n",
       "        var a = document.body.appendChild( document.createElement( 'a' ) );\n",
       "        a.href = renderer.domElement.toDataURL( 'image/png' );\n",
       "        a.download = 'screenshot';\n",
       "        a.click();\n",
       "\n",
       "    }\n",
       "\n",
       "    function saveAsHTML() {\n",
       "\n",
       "        toggleMenu(); // otherwise visible in output\n",
       "        event.stopPropagation();\n",
       "\n",
       "        var blob = new Blob( [ '<!DOCTYPE html>\\n' + document.documentElement.outerHTML ] );\n",
       "        var a = document.body.appendChild( document.createElement( 'a' ) );\n",
       "        a.href = window.URL.createObjectURL( blob );\n",
       "        a.download = 'graphic.html';\n",
       "        a.click();\n",
       "\n",
       "    }\n",
       "\n",
       "    function getViewpoint() {\n",
       "\n",
       "        function roundTo( x, n ) { return +x.toFixed(n); }\n",
       "\n",
       "        var v = camera.quaternion.inverse();\n",
       "        var r = Math.sqrt( v.x*v.x + v.y*v.y + v.z*v.z );\n",
       "        var axis = [ roundTo( v.x / r, 4 ), roundTo( v.y / r, 4 ), roundTo( v.z / r, 4 ) ];\n",
       "        var angle = roundTo( 2 * Math.atan2( r, v.w ) * 180 / Math.PI, 2 );\n",
       "\n",
       "        var textArea = document.createElement( 'textarea' );\n",
       "        textArea.textContent = JSON.stringify( axis ) + ',' + angle;\n",
       "        textArea.style.csstext = 'position: absolute; top: -100%';\n",
       "        document.body.append( textArea );\n",
       "        textArea.select();\n",
       "        document.execCommand( 'copy' );\n",
       "\n",
       "        var m = document.getElementById( 'menu-message' );\n",
       "        m.innerHTML = 'Viewpoint copied to clipboard';\n",
       "        m.style.display = 'block';\n",
       "        setTimeout( function() { m.style.display = 'none'; }, 2000 );\n",
       "\n",
       "    }\n",
       "\n",
       "</script>\n",
       "\n",
       "<div id=&quot;menu-container&quot; onclick=&quot;toggleMenu()&quot;>&#x24d8;\n",
       "<div id=&quot;menu-message&quot;></div>\n",
       "<div id=&quot;menu-content&quot;>\n",
       "<div onclick=&quot;saveAsPNG()&quot;>Save as PNG</div>\n",
       "<div onclick=&quot;saveAsHTML()&quot;>Save as HTML</div>\n",
       "<div onclick=&quot;getViewpoint()&quot;>Get Viewpoint</div>\n",
       "<div>Close Menu</div>\n",
       "</div></div>\n",
       "\n",
       "\n",
       "</body>\n",
       "</html>\n",
       "\"\n",
       "        width=\"100%\"\n",
       "        height=\"400\"\n",
       "        style=\"border: 0;\">\n",
       "</iframe>\n"
      ],
      "text/plain": [
       "Graphics3d Object"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t1 = parametric_plot3d(toro.subs(a=4,b=3,r=1,R=1),(u,0,2*pi), (v,0,2*pi),mesh=True,frame=False, color='grey'); t1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<iframe srcdoc=\"<!DOCTYPE html>\n",
       "<html>\n",
       "<head>\n",
       "<title></title>\n",
       "<meta charset=&quot;utf-8&quot;>\n",
       "<meta name=viewport content=&quot;width=device-width, user-scalable=no, minimum-scale=1.0, maximum-scale=1.0&quot;>\n",
       "<style>\n",
       "\n",
       "    body { margin: 0px; overflow: hidden; }\n",
       "\n",
       "    #menu-container { position: absolute; bottom: 30px; right: 40px; cursor: default; }\n",
       "\n",
       "    #menu-message { position: absolute; bottom: 0px; right: 0px; white-space: nowrap;\n",
       "                    display: none; background-color: #F5F5F5; padding: 10px; }\n",
       "\n",
       "    #menu-content { position: absolute; bottom: 0px; right: 0px;\n",
       "                    display: none; background-color: #F5F5F5; border-bottom: 1px solid black;\n",
       "                    border-right: 1px solid black; border-left: 1px solid black; }\n",
       "\n",
       "    #menu-content div { border-top: 1px solid black; padding: 10px; white-space: nowrap; }\n",
       "\n",
       "    #menu-content div:hover { background-color: #FEFEFE;; }\n",
       "\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "\n",
       "<body>\n",
       "\n",
       "<script src=&quot;/nbextensions/threejs/build/three.min.js&quot;></script>\n",
       "<script src=&quot;/nbextensions/threejs/examples/js/controls/OrbitControls.js&quot;></script>\n",
       "<script>\n",
       "  if ( !window.THREE ) document.write(' \\\n",
       "<script src=&quot;https://cdn.jsdelivr.net/gh/mrdoob/three.js@r117/build/three.min.js&quot;><\\/script> \\\n",
       "<script src=&quot;https://cdn.jsdelivr.net/gh/mrdoob/three.js@r117/examples/js/controls/OrbitControls.js&quot;><\\/script> \\\n",
       "            ');\n",
       "</script>\n",
       "        \n",
       "<script>\n",
       "\n",
       "    var scene = new THREE.Scene();\n",
       "\n",
       "    var renderer = new THREE.WebGLRenderer( { antialias: true, preserveDrawingBuffer: true } );\n",
       "    renderer.setPixelRatio( window.devicePixelRatio );\n",
       "    renderer.setSize( window.innerWidth, window.innerHeight );\n",
       "    renderer.setClearColor( 0xffffff, 1 );\n",
       "    document.body.appendChild( renderer.domElement );\n",
       "\n",
       "    var options = {&quot;animate&quot;: false, &quot;animationControls&quot;: true, &quot;aspectRatio&quot;: [1.0, 1.0, 1.0], &quot;autoPlay&quot;: true, &quot;axes&quot;: false, &quot;axesLabels&quot;: false, &quot;decimals&quot;: 2, &quot;delay&quot;: 20, &quot;frame&quot;: false, &quot;loop&quot;: true, &quot;projection&quot;: &quot;perspective&quot;, &quot;viewpoint&quot;: false};\n",
       "    var animate = options.animate;\n",
       "\n",
       "    var b = [{&quot;x&quot;:0.003244007313721209, &quot;y&quot;:0.012970767463159838, &quot;z&quot;:0.003244007313721209}, {&quot;x&quot;:12.0, &quot;y&quot;:8.0, &quot;z&quot;:7.996755992686278}]; // bounds\n",
       "\n",
       "    if ( b[0].x === b[1].x ) {\n",
       "        b[0].x -= 1;\n",
       "        b[1].x += 1;\n",
       "    }\n",
       "    if ( b[0].y === b[1].y ) {\n",
       "        b[0].y -= 1;\n",
       "        b[1].y += 1;\n",
       "    }\n",
       "    if ( b[0].z === b[1].z ) {\n",
       "        b[0].z -= 1;\n",
       "        b[1].z += 1;\n",
       "    }\n",
       "\n",
       "    var rRange = Math.sqrt( Math.pow( b[1].x - b[0].x, 2 )\n",
       "                            + Math.pow( b[1].y - b[0].y, 2 ) );\n",
       "    var xRange = b[1].x - b[0].x;\n",
       "    var yRange = b[1].y - b[0].y;\n",
       "    var zRange = b[1].z - b[0].z;\n",
       "\n",
       "    var ar = options.aspectRatio;\n",
       "    var a = [ ar[0], ar[1], ar[2] ]; // aspect multipliers\n",
       "    var autoAspect = 2.5;\n",
       "    if ( zRange > autoAspect * rRange && a[2] === 1 ) a[2] = autoAspect * rRange / zRange;\n",
       "\n",
       "    // Distance from (xMid,yMid,zMid) to any corner of the bounding box, after applying aspectRatio\n",
       "    var midToCorner = Math.sqrt( a[0]*a[0]*xRange*xRange + a[1]*a[1]*yRange*yRange + a[2]*a[2]*zRange*zRange ) / 2;\n",
       "\n",
       "    var xMid = ( b[0].x + b[1].x ) / 2;\n",
       "    var yMid = ( b[0].y + b[1].y ) / 2;\n",
       "    var zMid = ( b[0].z + b[1].z ) / 2;\n",
       "\n",
       "    var box = new THREE.Geometry();\n",
       "    box.vertices.push( new THREE.Vector3( a[0]*b[0].x, a[1]*b[0].y, a[2]*b[0].z ) );\n",
       "    box.vertices.push( new THREE.Vector3( a[0]*b[1].x, a[1]*b[1].y, a[2]*b[1].z ) );\n",
       "    var boxMesh = new THREE.Line( box );\n",
       "    if ( options.frame ) scene.add( new THREE.BoxHelper( boxMesh, 'black' ) );\n",
       "\n",
       "    if ( options.axesLabels ) {\n",
       "\n",
       "        var d = options.decimals; // decimals\n",
       "        var offsetRatio = 0.1;\n",
       "        var al = options.axesLabels;\n",
       "\n",
       "        var offset = offsetRatio * a[1]*( b[1].y - b[0].y );\n",
       "        var xm = xMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(xm) ) xm = xm.substr(1);\n",
       "        addLabel( al[0] + '=' + xm, a[0]*xMid, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[0].x ).toFixed(d), a[0]*b[0].x, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].x ).toFixed(d), a[0]*b[1].x, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "\n",
       "        var offset = offsetRatio * a[0]*( b[1].x - b[0].x );\n",
       "        var ym = yMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(ym) ) ym = ym.substr(1);\n",
       "        addLabel( al[1] + '=' + ym, a[0]*b[1].x+offset, a[1]*yMid, a[2]*b[0].z );\n",
       "        addLabel( ( b[0].y ).toFixed(d), a[0]*b[1].x+offset, a[1]*b[0].y, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].y ).toFixed(d), a[0]*b[1].x+offset, a[1]*b[1].y, a[2]*b[0].z );\n",
       "\n",
       "        var offset = offsetRatio * a[1]*( b[1].y - b[0].y );\n",
       "        var zm = zMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(zm) ) zm = zm.substr(1);\n",
       "        addLabel( al[2] + '=' + zm, a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*zMid );\n",
       "        addLabel( ( b[0].z ).toFixed(d), a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].z ).toFixed(d), a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*b[1].z );\n",
       "\n",
       "    }\n",
       "\n",
       "    function addLabel( text, x, y, z, color='black', fontSize=14, fontFamily='monospace',\n",
       "                       fontStyle='normal', fontWeight='normal', opacity=1 ) {\n",
       "\n",
       "        var canvas = document.createElement( 'canvas' );\n",
       "        var context = canvas.getContext( '2d' );\n",
       "        var pixelRatio = Math.round( window.devicePixelRatio );\n",
       "\n",
       "        var font = [fontStyle, fontWeight, fontSize + 'px', fontFamily].join(' ');\n",
       "\n",
       "        context.font = font;\n",
       "        var width = context.measureText( text ).width;\n",
       "        var height = fontSize;\n",
       "\n",
       "        // The dimensions of the canvas's underlying image data need to be powers\n",
       "        // of two in order for the resulting texture to support mipmapping.\n",
       "        canvas.width = THREE.MathUtils.ceilPowerOfTwo( width * pixelRatio );\n",
       "        canvas.height = THREE.MathUtils.ceilPowerOfTwo( height * pixelRatio );\n",
       "\n",
       "        // Re-compute the unscaled dimensions after the power of two conversion.\n",
       "        width = canvas.width / pixelRatio;\n",
       "        height = canvas.height / pixelRatio;\n",
       "\n",
       "        canvas.style.width = width + 'px';\n",
       "        canvas.style.height = height + 'px';\n",
       "\n",
       "        context.scale( pixelRatio, pixelRatio );\n",
       "        context.fillStyle = color;\n",
       "        context.font = font; // Must be set again after measureText.\n",
       "        context.textAlign = 'center';\n",
       "        context.textBaseline = 'middle';\n",
       "        context.fillText( text, width/2, height/2 );\n",
       "\n",
       "        var texture = new THREE.Texture( canvas );\n",
       "        texture.needsUpdate = true;\n",
       "\n",
       "        var materialOptions = { map: texture, sizeAttenuation: false };\n",
       "        if ( opacity < 1 ) {\n",
       "            // Setting opacity=1 would cause the texture's alpha component to be\n",
       "            // discarded, giving the text a black background instead of the\n",
       "            // background being transparent.\n",
       "            materialOptions.opacity = opacity;\n",
       "        }\n",
       "        var sprite = new THREE.Sprite( new THREE.SpriteMaterial( materialOptions ) );\n",
       "        sprite.position.set( x, y, z );\n",
       "\n",
       "        // Scaling factor, chosen somewhat arbitrarily so that the size of the text\n",
       "        // is consistent with previously generated plots.\n",
       "        var scale = 1/625;\n",
       "        if ( options.projection === 'orthographic' ) {\n",
       "            scale = midToCorner/256; // Needs to scale along with the plot itself.\n",
       "        }\n",
       "        sprite.scale.set( scale * width, scale * height, 1 );\n",
       "\n",
       "        scene.add( sprite );\n",
       "\n",
       "        return sprite;\n",
       "\n",
       "    }\n",
       "\n",
       "    if ( options.axes ) scene.add( new THREE.AxesHelper( Math.min( a[0]*b[1].x, a[1]*b[1].y, a[2]*b[1].z ) ) );\n",
       "\n",
       "    var camera = createCamera();\n",
       "    camera.up.set( 0, 0, 1 );\n",
       "    camera.position.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "\n",
       "    var offset = new THREE.Vector3( a[0]*xRange, a[1]*yRange, a[2]*zRange );\n",
       "\n",
       "    if ( options.viewpoint ) {\n",
       "\n",
       "        var aa = options.viewpoint;\n",
       "        var axis = new THREE.Vector3( aa[0][0], aa[0][1], aa[0][2] ).normalize();\n",
       "        var angle = aa[1] * Math.PI / 180;\n",
       "        var q = new THREE.Quaternion().setFromAxisAngle( axis, angle ).inverse();\n",
       "\n",
       "        offset.set( 0, 0, offset.length() );\n",
       "        offset.applyQuaternion( q );\n",
       "\n",
       "    }\n",
       "\n",
       "    camera.position.add( offset );\n",
       "\n",
       "    function createCamera() {\n",
       "\n",
       "        var aspect = window.innerWidth / window.innerHeight;\n",
       "\n",
       "        if ( options.projection === 'orthographic' ) {\n",
       "            var camera = new THREE.OrthographicCamera( -1, 1, 1, -1, -1000, 1000 );\n",
       "            updateCameraAspect( camera, aspect );\n",
       "            return camera;\n",
       "        }\n",
       "\n",
       "        return new THREE.PerspectiveCamera( 45, aspect, 0.1, 1000 );\n",
       "\n",
       "    }\n",
       "\n",
       "    function updateCameraAspect( camera, aspect ) {\n",
       "\n",
       "        if ( camera.isPerspectiveCamera ) {\n",
       "            camera.aspect = aspect;\n",
       "        } else if ( camera.isOrthographicCamera ) {\n",
       "            // Fit the camera frustum to the bounding box's diagonal so that the entire plot fits\n",
       "            // within at the default zoom level and camera position.\n",
       "            if ( aspect > 1 ) { // Wide window\n",
       "                camera.top = midToCorner;\n",
       "                camera.right = midToCorner * aspect;\n",
       "            } else { // Tall or square window\n",
       "                camera.top = midToCorner / aspect;\n",
       "                camera.right = midToCorner;\n",
       "            }\n",
       "            camera.bottom = -camera.top;\n",
       "            camera.left = -camera.right;\n",
       "        }\n",
       "\n",
       "        camera.updateProjectionMatrix();\n",
       "\n",
       "    }\n",
       "\n",
       "    var lights = [{&quot;x&quot;:-5, &quot;y&quot;:3, &quot;z&quot;:0, &quot;color&quot;:&quot;#7f7f7f&quot;, &quot;parent&quot;:&quot;camera&quot;}];\n",
       "    for ( var i=0 ; i < lights.length ; i++ ) {\n",
       "        var light = new THREE.DirectionalLight( lights[i].color, 1 );\n",
       "        light.position.set( a[0]*lights[i].x, a[1]*lights[i].y, a[2]*lights[i].z );\n",
       "        if ( lights[i].parent === 'camera' ) {\n",
       "            light.target.position.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "            scene.add( light.target );\n",
       "            camera.add( light );\n",
       "        } else scene.add( light );\n",
       "    }\n",
       "    scene.add( camera );\n",
       "\n",
       "    var ambient = {&quot;color&quot;:&quot;#7f7f7f&quot;};\n",
       "    scene.add( new THREE.AmbientLight( ambient.color, 1 ) );\n",
       "\n",
       "    var controls = new THREE.OrbitControls( camera, renderer.domElement );\n",
       "    controls.target.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "    controls.addEventListener( 'change', function() { if ( !animate ) render(); } );\n",
       "\n",
       "    window.addEventListener( 'resize', function() {\n",
       "\n",
       "        renderer.setSize( window.innerWidth, window.innerHeight );\n",
       "        updateCameraAspect( camera, window.innerWidth / window.innerHeight );\n",
       "        if ( !animate ) render();\n",
       "\n",
       "    } );\n",
       "\n",
       "    var texts = [];\n",
       "    for ( var i=0 ; i < texts.length ; i++ ) addText( texts[i] );\n",
       "\n",
       "    function addText( json ) {\n",
       "        json.fontFamily = json.fontFamily.map( function( f ) {\n",
       "            // Need to put quotes around fonts that have whitespace in their names.\n",
       "            return /\\s/.test( f ) ? '&quot;' + f + '&quot;' : f;\n",
       "        }).join(', ');\n",
       "        var sprite = addLabel( json.text, a[0]*json.x, a[1]*json.y, a[2]*json.z, json.color,\n",
       "                               json.fontSize, json.fontFamily, json.fontStyle, json.fontWeight,\n",
       "                               json.opacity );\n",
       "        sprite.userData = json;\n",
       "    }\n",
       "\n",
       "    var points = [];\n",
       "    for ( var i=0 ; i < points.length ; i++ ) addPoint( points[i] );\n",
       "\n",
       "    function addPoint( json ) {\n",
       "\n",
       "        var geometry = new THREE.Geometry();\n",
       "        var v = json.point;\n",
       "        geometry.vertices.push( new THREE.Vector3( a[0]*v[0], a[1]*v[1], a[2]*v[2] ) );\n",
       "\n",
       "        var canvas = document.createElement( 'canvas' );\n",
       "        canvas.width = 128;\n",
       "        canvas.height = 128;\n",
       "\n",
       "        var context = canvas.getContext( '2d' );\n",
       "        context.arc( 64, 64, 64, 0, 2 * Math.PI );\n",
       "        context.fillStyle = json.color;\n",
       "        context.fill();\n",
       "\n",
       "        var texture = new THREE.Texture( canvas );\n",
       "        texture.needsUpdate = true;\n",
       "\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var size = camera.isOrthographicCamera ? json.size : json.size/100;\n",
       "        var material = new THREE.PointsMaterial( { size: size, map: texture,\n",
       "                                                   transparent: transparent, opacity: json.opacity,\n",
       "                                                   alphaTest: .1 } );\n",
       "\n",
       "        var c = new THREE.Vector3();\n",
       "        geometry.computeBoundingBox();\n",
       "        geometry.boundingBox.getCenter( c );\n",
       "        geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "        var mesh = new THREE.Points( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        mesh.userData = json;\n",
       "        scene.add( mesh );\n",
       "\n",
       "    }\n",
       "\n",
       "    var lines = [];\n",
       "    for ( var i=0 ; i < lines.length ; i++ ) addLine( lines[i] );\n",
       "\n",
       "    function addLine( json ) {\n",
       "\n",
       "        var geometry = new THREE.Geometry();\n",
       "        for ( var i=0 ; i < json.points.length ; i++ ) {\n",
       "            var v = json.points[i];\n",
       "            geometry.vertices.push( new THREE.Vector3( a[0]*v[0], a[1]*v[1], a[2]*v[2] ) );\n",
       "        }\n",
       "\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var material = new THREE.LineBasicMaterial( { color: json.color, linewidth: json.linewidth,\n",
       "                                                      transparent: transparent, opacity: json.opacity } );\n",
       "\n",
       "        var c = new THREE.Vector3();\n",
       "        geometry.computeBoundingBox();\n",
       "        geometry.boundingBox.getCenter( c );\n",
       "        geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "        var mesh = new THREE.Line( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        mesh.userData = json;\n",
       "        scene.add( mesh );\n",
       "\n",
       "    }\n",
       "\n",
       "    var surfaces = [{&quot;vertices&quot;: [{&quot;x&quot;: 4.0, &quot;y&quot;: 8.0, &quot;z&quot;: 4.0}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.987050262637913, &quot;z&quot;: 4.16041128085776}, {&quot;x&quot;: 4.639567839474017, &quot;y&quot;: 7.935419008887312, &quot;z&quot;: 4.16041128085776}, {&quot;x&quot;: 4.641645123431041, &quot;y&quot;: 7.948201050551651, &quot;z&quot;: 4.0}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.948536441947145, &quot;z&quot;: 4.316667993801472}, {&quot;x&quot;: 4.633389788166285, &quot;y&quot;: 7.8974039320593, &quot;z&quot;: 4.316667993801472}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.88545602565321, &quot;z&quot;: 4.464723172043769}, {&quot;x&quot;: 4.623270977791534, &quot;y&quot;: 7.835140390589062, &quot;z&quot;: 4.464723172043769}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.799442763403501, &quot;z&quot;: 4.6007422642379785}, {&quot;x&quot;: 4.609473480223304, &quot;y&quot;: 7.750240977495143, &quot;z&quot;: 4.6007422642379785}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.6927243535095995, &quot;z&quot;: 4.721202447343814}, {&quot;x&quot;: 4.592354643401119, &quot;y&quot;: 7.644904542981067, &quot;z&quot;: 4.721202447343814}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.568064746731156, &quot;z&quot;: 4.822983865893656}, {&quot;x&quot;: 4.572357836206565, &quot;y&quot;: 7.521859245370065, &quot;z&quot;: 4.822983865893656}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.428692561403055, &quot;z&quot;: 4.903450434610383}, {&quot;x&quot;: 4.5500009654421385, &quot;y&quot;: 7.384291893237544, &quot;z&quot;: 4.903450434610383}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.278217463916453, &quot;z&quot;: 4.960518111631372}, {&quot;x&quot;: 4.525863062317117, &quot;y&quot;: 7.235765408742927, &quot;z&quot;: 4.960518111631372}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.120536680255324, &quot;z&quot;: 4.992708874098054}, {&quot;x&quot;: 4.50056928584338, &quot;y&quot;: 7.080126549817258, &quot;z&quot;: 4.992708874098054}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.959734059890586, &quot;z&quot;: 4.99918899817157}, {&quot;x&quot;: 4.474774731545388, &quot;y&quot;: 6.921406281153379, &quot;z&quot;: 4.99918899817157}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.799974306223956, &quot;z&quot;: 4.979790652042268}, {&quot;x&quot;: 4.449147464830204, &quot;y&quot;: 6.763715374337764, &quot;z&quot;: 4.979790652042268}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.645395112957464, &quot;z&quot;: 4.935016242685415}, {&quot;x&quot;: 4.424351218444366, &quot;y&quot;: 6.611137941025717, &quot;z&quot;: 4.935016242685415}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.5, &quot;z&quot;: 4.866025403784439}, {&quot;x&quot;: 4.401028202144401, &quot;y&quot;: 6.467625656594782, &quot;z&quot;: 4.866025403784439}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.367554624404623, &quot;z&quot;: 4.774604961827655}, {&quot;x&quot;: 4.379782469801459, &quot;y&quot;: 6.336895413828188, &quot;z&quot;: 4.774604961827655}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.251489251828899, &quot;z&quot;: 4.663122658240796}, {&quot;x&quot;: 4.361164274723354, &quot;y&quot;: 6.222333057344153, &quot;z&quot;: 4.663122658240796}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.154809914456205, &quot;z&quot;: 4.534465826127802}, {&quot;x&quot;: 4.34565581838292, &quot;y&quot;: 6.126905691998775, &quot;z&quot;: 4.534465826127802}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.080020556341176, &quot;z&quot;: 4.391966609860075}, {&quot;x&quot;: 4.333658761653159, &quot;y&quot;: 6.053084836428815, &quot;z&quot;: 4.391966609860075}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.029058182573948, &quot;z&quot;: 4.239315664287558}, {&quot;x&quot;: 4.3254838220016065, &quot;y&quot;: 6.002782412017222, &quot;z&quot;: 4.239315664287558}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.00324269186579, &quot;z&quot;: 4.080466568716726}, {&quot;x&quot;: 4.321342726071139, &quot;y&quot;: 5.9773012251336075, &quot;z&quot;: 4.080466568716726}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.00324269186579, &quot;z&quot;: 3.919533431283274}, {&quot;x&quot;: 4.321342726071139, &quot;y&quot;: 5.9773012251336075, &quot;z&quot;: 3.919533431283274}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.029058182573948, &quot;z&quot;: 3.7606843357124418}, {&quot;x&quot;: 4.3254838220016065, &quot;y&quot;: 6.002782412017222, &quot;z&quot;: 3.7606843357124418}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.080020556341176, &quot;z&quot;: 3.608033390139924}, {&quot;x&quot;: 4.333658761653159, &quot;y&quot;: 6.053084836428815, &quot;z&quot;: 3.608033390139924}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.154809914456205, &quot;z&quot;: 3.4655341738721983}, {&quot;x&quot;: 4.34565581838292, &quot;y&quot;: 6.126905691998776, &quot;z&quot;: 3.4655341738721983}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.251489251828899, &quot;z&quot;: 3.336877341759204}, {&quot;x&quot;: 4.361164274723354, &quot;y&quot;: 6.222333057344153, &quot;z&quot;: 3.336877341759204}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.367554624404624, &quot;z&quot;: 3.2253950381723446}, {&quot;x&quot;: 4.379782469801459, &quot;y&quot;: 6.336895413828189, &quot;z&quot;: 3.2253950381723446}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.500000000000002, &quot;z&quot;: 3.1339745962155607}, {&quot;x&quot;: 4.401028202144401, &quot;y&quot;: 6.467625656594784, &quot;z&quot;: 3.1339745962155607}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.645395112957466, &quot;z&quot;: 3.0649837573145846}, {&quot;x&quot;: 4.424351218444366, &quot;y&quot;: 6.611137941025717, &quot;z&quot;: 3.0649837573145846}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.799974306223957, &quot;z&quot;: 3.020209347957732}, {&quot;x&quot;: 4.449147464830204, &quot;y&quot;: 6.763715374337765, &quot;z&quot;: 3.020209347957732}, {&quot;x&quot;: 4.0, &quot;y&quot;: 6.959734059890587, &quot;z&quot;: 3.0008110018284304}, {&quot;x&quot;: 4.474774731545388, &quot;y&quot;: 6.92140628115338, &quot;z&quot;: 3.0008110018284304}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.120536680255325, &quot;z&quot;: 3.007291125901946}, {&quot;x&quot;: 4.50056928584338, &quot;y&quot;: 7.080126549817259, &quot;z&quot;: 3.007291125901946}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.278217463916455, &quot;z&quot;: 3.0394818883686283}, {&quot;x&quot;: 4.525863062317117, &quot;y&quot;: 7.235765408742929, &quot;z&quot;: 3.0394818883686283}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.428692561403056, &quot;z&quot;: 3.0965495653896187}, {&quot;x&quot;: 4.550000965442139, &quot;y&quot;: 7.384291893237545, &quot;z&quot;: 3.0965495653896187}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.568064746731158, &quot;z&quot;: 3.1770161341063448}, {&quot;x&quot;: 4.572357836206565, &quot;y&quot;: 7.5218592453700674, &quot;z&quot;: 3.1770161341063448}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.692724353509601, &quot;z&quot;: 3.2787975526561874}, {&quot;x&quot;: 4.592354643401119, &quot;y&quot;: 7.6449045429810685, &quot;z&quot;: 3.2787975526561874}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.799442763403503, &quot;z&quot;: 3.3992577357620233}, {&quot;x&quot;: 4.609473480223304, &quot;y&quot;: 7.750240977495144, &quot;z&quot;: 3.3992577357620233}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.885456025653211, &quot;z&quot;: 3.535276827956234}, {&quot;x&quot;: 4.623270977791535, &quot;y&quot;: 7.835140390589062, &quot;z&quot;: 3.535276827956234}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.948536441947146, &quot;z&quot;: 3.68333200619853}, {&quot;x&quot;: 4.633389788166285, &quot;y&quot;: 7.897403932059301, &quot;z&quot;: 3.68333200619853}, {&quot;x&quot;: 4.0, &quot;y&quot;: 7.987050262637913, &quot;z&quot;: 3.8395887191422426}, {&quot;x&quot;: 4.639567839474017, &quot;y&quot;: 7.935419008887312, &quot;z&quot;: 3.8395887191422426}, {&quot;x&quot;: 4.0, &quot;y&quot;: 8.0, &quot;z&quot;: 3.9999999999999996}, {&quot;x&quot;: 4.641645123431041, &quot;y&quot;: 7.948201050551651, &quot;z&quot;: 3.9999999999999996}, {&quot;x&quot;: 5.262571207855181, &quot;y&quot;: 7.781862469986997, &quot;z&quot;: 4.16041128085776}, {&quot;x&quot;: 5.26667197520589, &quot;y&quot;: 7.7941457677885815, 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[1527, 1528, 1568, 1567], [1528, 1529, 1569, 1568], [1529, 1530, 1570, 1569], [1530, 1531, 1571, 1570], [1531, 1532, 1572, 1571], [1532, 1533, 1573, 1572], [1533, 1534, 1574, 1573], [1534, 1535, 1575, 1574], [1535, 1536, 1576, 1575], [1536, 1537, 1577, 1576], [1537, 1538, 1578, 1577], [1538, 1539, 1579, 1578], [1539, 1540, 1580, 1579], [1540, 1541, 1581, 1580], [1541, 1542, 1582, 1581], [1542, 1543, 1583, 1582], [1543, 1544, 1584, 1583], [1544, 1545, 1585, 1584], [1545, 1546, 1586, 1585], [1546, 1547, 1587, 1586], [1547, 1548, 1588, 1587], [1548, 1549, 1589, 1588], [1549, 1550, 1590, 1589], [1550, 1551, 1591, 1590], [1551, 1552, 1592, 1591], [1552, 1553, 1593, 1592], [1553, 1554, 1594, 1593], [1554, 1555, 1595, 1594], [1555, 1556, 1596, 1595], [1556, 1557, 1597, 1596], [1557, 1558, 1598, 1597], [1558, 1559, 1599, 1598]], &quot;color&quot;: &quot;#808080&quot;, &quot;opacity&quot;: 1.0, &quot;showMeshGrid&quot;: true}];\n",
       "    for ( var i=0 ; i < surfaces.length ; i++ ) addSurface( surfaces[i] );\n",
       "\n",
       "    function addSurface( json ) {\n",
       "\n",
       "        var useFaceColors = 'faceColors' in json ? true : false;\n",
       "\n",
       "        var geometry = new THREE.Geometry();\n",
       "        for ( var i=0 ; i < json.vertices.length ; i++ ) {\n",
       "            var v = json.vertices[i];\n",
       "            geometry.vertices.push( new THREE.Vector3( a[0]*v.x, a[1]*v.y, a[2]*v.z ) );\n",
       "        }\n",
       "        for ( var i=0 ; i < json.faces.length ; i++ ) {\n",
       "            var f = json.faces[i];\n",
       "            for ( var j=0 ; j < f.length - 2 ; j++ ) {\n",
       "                var face = new THREE.Face3( f[0], f[j+1], f[j+2] );\n",
       "                if ( useFaceColors ) face.color.set( json.faceColors[i] );\n",
       "                geometry.faces.push( face );\n",
       "            }\n",
       "        }\n",
       "        geometry.computeVertexNormals();\n",
       "\n",
       "        var side = json.singleSide ? THREE.FrontSide : THREE.DoubleSide;\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var flatShading = json.useFlatShading ? json.useFlatShading : false;\n",
       "\n",
       "        var material = new THREE.MeshPhongMaterial( { side: side,\n",
       "                                     color: useFaceColors ? 'white' : json.color,\n",
       "                                     vertexColors: useFaceColors ? THREE.FaceColors : THREE.NoColors,\n",
       "                                     transparent: transparent, opacity: json.opacity,\n",
       "                                     shininess: 20, flatShading: flatShading } );\n",
       "\n",
       "        var c = new THREE.Vector3();\n",
       "        geometry.computeBoundingBox();\n",
       "        geometry.boundingBox.getCenter( c );\n",
       "        geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "        var mesh = new THREE.Mesh( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        if ( transparent && json.renderOrder ) mesh.renderOrder = json.renderOrder;\n",
       "        mesh.userData = json;\n",
       "        scene.add( mesh );\n",
       "\n",
       "        if ( json.showMeshGrid ) {\n",
       "\n",
       "            var geometry = new THREE.Geometry();\n",
       "\n",
       "            for ( var i=0 ; i < json.faces.length ; i++ ) {\n",
       "                var f = json.faces[i];\n",
       "                for ( var j=0 ; j < f.length ; j++ ) {\n",
       "                    var k = j === f.length-1 ? 0 : j+1;\n",
       "                    var v1 = json.vertices[f[j]];\n",
       "                    var v2 = json.vertices[f[k]];\n",
       "                    // vertices in opposite directions on neighboring faces\n",
       "                    var nudge = f[j] < f[k] ? .0005*zRange : -.0005*zRange;\n",
       "                    geometry.vertices.push( new THREE.Vector3( a[0]*v1.x, a[1]*v1.y, a[2]*(v1.z+nudge) ) );\n",
       "                    geometry.vertices.push( new THREE.Vector3( a[0]*v2.x, a[1]*v2.y, a[2]*(v2.z+nudge) ) );\n",
       "                }\n",
       "            }\n",
       "\n",
       "            var material = new THREE.LineBasicMaterial( { color: 'black', linewidth: 1 } );\n",
       "\n",
       "            var c = new THREE.Vector3();\n",
       "            geometry.computeBoundingBox();\n",
       "            geometry.boundingBox.getCenter( c );\n",
       "            geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "            var mesh = new THREE.LineSegments( geometry, material );\n",
       "            mesh.position.set( c.x, c.y, c.z );\n",
       "            mesh.userData = json;\n",
       "            scene.add( mesh );\n",
       "\n",
       "        }\n",
       "\n",
       "    }\n",
       "\n",
       "    function render() {\n",
       "\n",
       "        if ( window.updateAnimation ) animate = updateAnimation();\n",
       "        if ( animate ) requestAnimationFrame( render );\n",
       "\n",
       "        renderer.render( scene, camera );\n",
       "\n",
       "    }\n",
       "\n",
       "    render();\n",
       "    controls.update();\n",
       "    if ( !animate ) render();\n",
       "\n",
       "\n",
       "    // menu functions\n",
       "\n",
       "    function toggleMenu() {\n",
       "\n",
       "        var m = document.getElementById( 'menu-content' );\n",
       "        if ( m.style.display === 'block' ) m.style.display = 'none'\n",
       "        else m.style.display = 'block';\n",
       "\n",
       "    }\n",
       "\n",
       "\n",
       "    function saveAsPNG() {\n",
       "\n",
       "        var a = document.body.appendChild( document.createElement( 'a' ) );\n",
       "        a.href = renderer.domElement.toDataURL( 'image/png' );\n",
       "        a.download = 'screenshot';\n",
       "        a.click();\n",
       "\n",
       "    }\n",
       "\n",
       "    function saveAsHTML() {\n",
       "\n",
       "        toggleMenu(); // otherwise visible in output\n",
       "        event.stopPropagation();\n",
       "\n",
       "        var blob = new Blob( [ '<!DOCTYPE html>\\n' + document.documentElement.outerHTML ] );\n",
       "        var a = document.body.appendChild( document.createElement( 'a' ) );\n",
       "        a.href = window.URL.createObjectURL( blob );\n",
       "        a.download = 'graphic.html';\n",
       "        a.click();\n",
       "\n",
       "    }\n",
       "\n",
       "    function getViewpoint() {\n",
       "\n",
       "        function roundTo( x, n ) { return +x.toFixed(n); }\n",
       "\n",
       "        var v = camera.quaternion.inverse();\n",
       "        var r = Math.sqrt( v.x*v.x + v.y*v.y + v.z*v.z );\n",
       "        var axis = [ roundTo( v.x / r, 4 ), roundTo( v.y / r, 4 ), roundTo( v.z / r, 4 ) ];\n",
       "        var angle = roundTo( 2 * Math.atan2( r, v.w ) * 180 / Math.PI, 2 );\n",
       "\n",
       "        var textArea = document.createElement( 'textarea' );\n",
       "        textArea.textContent = JSON.stringify( axis ) + ',' + angle;\n",
       "        textArea.style.csstext = 'position: absolute; top: -100%';\n",
       "        document.body.append( textArea );\n",
       "        textArea.select();\n",
       "        document.execCommand( 'copy' );\n",
       "\n",
       "        var m = document.getElementById( 'menu-message' );\n",
       "        m.innerHTML = 'Viewpoint copied to clipboard';\n",
       "        m.style.display = 'block';\n",
       "        setTimeout( function() { m.style.display = 'none'; }, 2000 );\n",
       "\n",
       "    }\n",
       "\n",
       "</script>\n",
       "\n",
       "<div id=&quot;menu-container&quot; onclick=&quot;toggleMenu()&quot;>&#x24d8;\n",
       "<div id=&quot;menu-message&quot;></div>\n",
       "<div id=&quot;menu-content&quot;>\n",
       "<div onclick=&quot;saveAsPNG()&quot;>Save as PNG</div>\n",
       "<div onclick=&quot;saveAsHTML()&quot;>Save as HTML</div>\n",
       "<div onclick=&quot;getViewpoint()&quot;>Get Viewpoint</div>\n",
       "<div>Close Menu</div>\n",
       "</div></div>\n",
       "\n",
       "\n",
       "</body>\n",
       "</html>\n",
       "\"\n",
       "        width=\"100%\"\n",
       "        height=\"400\"\n",
       "        style=\"border: 0;\">\n",
       "</iframe>\n"
      ],
      "text/plain": [
       "Graphics3d Object"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t0+t1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Outros muitos exemplos [aqui](https://doc.sagemath.org/html/en/reference/plot3d/sage/plot/plot3d/parametric_plot3d.html?highlight=parametric_plot3d#module-sage.plot.plot3d.parametric_plot3d)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### 4. Objetos pré definidos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<iframe srcdoc=\"<!DOCTYPE html>\n",
       "<html>\n",
       "<head>\n",
       "<title></title>\n",
       "<meta charset=&quot;utf-8&quot;>\n",
       "<meta name=viewport content=&quot;width=device-width, user-scalable=no, minimum-scale=1.0, maximum-scale=1.0&quot;>\n",
       "<style>\n",
       "\n",
       "    body { margin: 0px; overflow: hidden; }\n",
       "\n",
       "    #menu-container { position: absolute; bottom: 30px; right: 40px; cursor: default; }\n",
       "\n",
       "    #menu-message { position: absolute; bottom: 0px; right: 0px; white-space: nowrap;\n",
       "                    display: none; background-color: #F5F5F5; padding: 10px; }\n",
       "\n",
       "    #menu-content { position: absolute; bottom: 0px; right: 0px;\n",
       "                    display: none; background-color: #F5F5F5; border-bottom: 1px solid black;\n",
       "                    border-right: 1px solid black; border-left: 1px solid black; }\n",
       "\n",
       "    #menu-content div { border-top: 1px solid black; padding: 10px; white-space: nowrap; }\n",
       "\n",
       "    #menu-content div:hover { background-color: #FEFEFE;; }\n",
       "\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "\n",
       "<body>\n",
       "\n",
       "<script src=&quot;/nbextensions/threejs/build/three.min.js&quot;></script>\n",
       "<script src=&quot;/nbextensions/threejs/examples/js/controls/OrbitControls.js&quot;></script>\n",
       "<script>\n",
       "  if ( !window.THREE ) document.write(' \\\n",
       "<script src=&quot;https://cdn.jsdelivr.net/gh/mrdoob/three.js@r117/build/three.min.js&quot;><\\/script> \\\n",
       "<script src=&quot;https://cdn.jsdelivr.net/gh/mrdoob/three.js@r117/examples/js/controls/OrbitControls.js&quot;><\\/script> \\\n",
       "            ');\n",
       "</script>\n",
       "        \n",
       "<script>\n",
       "\n",
       "    var scene = new THREE.Scene();\n",
       "\n",
       "    var renderer = new THREE.WebGLRenderer( { antialias: true, preserveDrawingBuffer: true } );\n",
       "    renderer.setPixelRatio( window.devicePixelRatio );\n",
       "    renderer.setSize( window.innerWidth, window.innerHeight );\n",
       "    renderer.setClearColor( 0xffffff, 1 );\n",
       "    document.body.appendChild( renderer.domElement );\n",
       "\n",
       "    var options = {&quot;animate&quot;: false, &quot;animationControls&quot;: true, &quot;aspectRatio&quot;: [1.0, 1.0, 1.0], &quot;autoPlay&quot;: true, &quot;axes&quot;: false, &quot;axesLabels&quot;: [&quot;x&quot;, &quot;y&quot;, &quot;z&quot;], &quot;decimals&quot;: 2, &quot;delay&quot;: 20, &quot;frame&quot;: true, &quot;loop&quot;: true, &quot;projection&quot;: &quot;perspective&quot;, &quot;viewpoint&quot;: false};\n",
       "    var animate = options.animate;\n",
       "\n",
       "    var b = [{&quot;x&quot;:-0.47140452079103173, &quot;y&quot;:-0.8164965809277259, &quot;z&quot;:-0.7}, {&quot;x&quot;:1.7, &quot;y&quot;:1.7, &quot;z&quot;:1.0}]; // bounds\n",
       "\n",
       "    if ( b[0].x === b[1].x ) {\n",
       "        b[0].x -= 1;\n",
       "        b[1].x += 1;\n",
       "    }\n",
       "    if ( b[0].y === b[1].y ) {\n",
       "        b[0].y -= 1;\n",
       "        b[1].y += 1;\n",
       "    }\n",
       "    if ( b[0].z === b[1].z ) {\n",
       "        b[0].z -= 1;\n",
       "        b[1].z += 1;\n",
       "    }\n",
       "\n",
       "    var rRange = Math.sqrt( Math.pow( b[1].x - b[0].x, 2 )\n",
       "                            + Math.pow( b[1].y - b[0].y, 2 ) );\n",
       "    var xRange = b[1].x - b[0].x;\n",
       "    var yRange = b[1].y - b[0].y;\n",
       "    var zRange = b[1].z - b[0].z;\n",
       "\n",
       "    var ar = options.aspectRatio;\n",
       "    var a = [ ar[0], ar[1], ar[2] ]; // aspect multipliers\n",
       "    var autoAspect = 2.5;\n",
       "    if ( zRange > autoAspect * rRange && a[2] === 1 ) a[2] = autoAspect * rRange / zRange;\n",
       "\n",
       "    // Distance from (xMid,yMid,zMid) to any corner of the bounding box, after applying aspectRatio\n",
       "    var midToCorner = Math.sqrt( a[0]*a[0]*xRange*xRange + a[1]*a[1]*yRange*yRange + a[2]*a[2]*zRange*zRange ) / 2;\n",
       "\n",
       "    var xMid = ( b[0].x + b[1].x ) / 2;\n",
       "    var yMid = ( b[0].y + b[1].y ) / 2;\n",
       "    var zMid = ( b[0].z + b[1].z ) / 2;\n",
       "\n",
       "    var box = new THREE.Geometry();\n",
       "    box.vertices.push( new THREE.Vector3( a[0]*b[0].x, a[1]*b[0].y, a[2]*b[0].z ) );\n",
       "    box.vertices.push( new THREE.Vector3( a[0]*b[1].x, a[1]*b[1].y, a[2]*b[1].z ) );\n",
       "    var boxMesh = new THREE.Line( box );\n",
       "    if ( options.frame ) scene.add( new THREE.BoxHelper( boxMesh, 'black' ) );\n",
       "\n",
       "    if ( options.axesLabels ) {\n",
       "\n",
       "        var d = options.decimals; // decimals\n",
       "        var offsetRatio = 0.1;\n",
       "        var al = options.axesLabels;\n",
       "\n",
       "        var offset = offsetRatio * a[1]*( b[1].y - b[0].y );\n",
       "        var xm = xMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(xm) ) xm = xm.substr(1);\n",
       "        addLabel( al[0] + '=' + xm, a[0]*xMid, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[0].x ).toFixed(d), a[0]*b[0].x, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].x ).toFixed(d), a[0]*b[1].x, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "\n",
       "        var offset = offsetRatio * a[0]*( b[1].x - b[0].x );\n",
       "        var ym = yMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(ym) ) ym = ym.substr(1);\n",
       "        addLabel( al[1] + '=' + ym, a[0]*b[1].x+offset, a[1]*yMid, a[2]*b[0].z );\n",
       "        addLabel( ( b[0].y ).toFixed(d), a[0]*b[1].x+offset, a[1]*b[0].y, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].y ).toFixed(d), a[0]*b[1].x+offset, a[1]*b[1].y, a[2]*b[0].z );\n",
       "\n",
       "        var offset = offsetRatio * a[1]*( b[1].y - b[0].y );\n",
       "        var zm = zMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(zm) ) zm = zm.substr(1);\n",
       "        addLabel( al[2] + '=' + zm, a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*zMid );\n",
       "        addLabel( ( b[0].z ).toFixed(d), a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].z ).toFixed(d), a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*b[1].z );\n",
       "\n",
       "    }\n",
       "\n",
       "    function addLabel( text, x, y, z, color='black', fontSize=14, fontFamily='monospace',\n",
       "                       fontStyle='normal', fontWeight='normal', opacity=1 ) {\n",
       "\n",
       "        var canvas = document.createElement( 'canvas' );\n",
       "        var context = canvas.getContext( '2d' );\n",
       "        var pixelRatio = Math.round( window.devicePixelRatio );\n",
       "\n",
       "        var font = [fontStyle, fontWeight, fontSize + 'px', fontFamily].join(' ');\n",
       "\n",
       "        context.font = font;\n",
       "        var width = context.measureText( text ).width;\n",
       "        var height = fontSize;\n",
       "\n",
       "        // The dimensions of the canvas's underlying image data need to be powers\n",
       "        // of two in order for the resulting texture to support mipmapping.\n",
       "        canvas.width = THREE.MathUtils.ceilPowerOfTwo( width * pixelRatio );\n",
       "        canvas.height = THREE.MathUtils.ceilPowerOfTwo( height * pixelRatio );\n",
       "\n",
       "        // Re-compute the unscaled dimensions after the power of two conversion.\n",
       "        width = canvas.width / pixelRatio;\n",
       "        height = canvas.height / pixelRatio;\n",
       "\n",
       "        canvas.style.width = width + 'px';\n",
       "        canvas.style.height = height + 'px';\n",
       "\n",
       "        context.scale( pixelRatio, pixelRatio );\n",
       "        context.fillStyle = color;\n",
       "        context.font = font; // Must be set again after measureText.\n",
       "        context.textAlign = 'center';\n",
       "        context.textBaseline = 'middle';\n",
       "        context.fillText( text, width/2, height/2 );\n",
       "\n",
       "        var texture = new THREE.Texture( canvas );\n",
       "        texture.needsUpdate = true;\n",
       "\n",
       "        var materialOptions = { map: texture, sizeAttenuation: false };\n",
       "        if ( opacity < 1 ) {\n",
       "            // Setting opacity=1 would cause the texture's alpha component to be\n",
       "            // discarded, giving the text a black background instead of the\n",
       "            // background being transparent.\n",
       "            materialOptions.opacity = opacity;\n",
       "        }\n",
       "        var sprite = new THREE.Sprite( new THREE.SpriteMaterial( materialOptions ) );\n",
       "        sprite.position.set( x, y, z );\n",
       "\n",
       "        // Scaling factor, chosen somewhat arbitrarily so that the size of the text\n",
       "        // is consistent with previously generated plots.\n",
       "        var scale = 1/625;\n",
       "        if ( options.projection === 'orthographic' ) {\n",
       "            scale = midToCorner/256; // Needs to scale along with the plot itself.\n",
       "        }\n",
       "        sprite.scale.set( scale * width, scale * height, 1 );\n",
       "\n",
       "        scene.add( sprite );\n",
       "\n",
       "        return sprite;\n",
       "\n",
       "    }\n",
       "\n",
       "    if ( options.axes ) scene.add( new THREE.AxesHelper( Math.min( a[0]*b[1].x, a[1]*b[1].y, a[2]*b[1].z ) ) );\n",
       "\n",
       "    var camera = createCamera();\n",
       "    camera.up.set( 0, 0, 1 );\n",
       "    camera.position.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "\n",
       "    var offset = new THREE.Vector3( a[0]*xRange, a[1]*yRange, a[2]*zRange );\n",
       "\n",
       "    if ( options.viewpoint ) {\n",
       "\n",
       "        var aa = options.viewpoint;\n",
       "        var axis = new THREE.Vector3( aa[0][0], aa[0][1], aa[0][2] ).normalize();\n",
       "        var angle = aa[1] * Math.PI / 180;\n",
       "        var q = new THREE.Quaternion().setFromAxisAngle( axis, angle ).inverse();\n",
       "\n",
       "        offset.set( 0, 0, offset.length() );\n",
       "        offset.applyQuaternion( q );\n",
       "\n",
       "    }\n",
       "\n",
       "    camera.position.add( offset );\n",
       "\n",
       "    function createCamera() {\n",
       "\n",
       "        var aspect = window.innerWidth / window.innerHeight;\n",
       "\n",
       "        if ( options.projection === 'orthographic' ) {\n",
       "            var camera = new THREE.OrthographicCamera( -1, 1, 1, -1, -1000, 1000 );\n",
       "            updateCameraAspect( camera, aspect );\n",
       "            return camera;\n",
       "        }\n",
       "\n",
       "        return new THREE.PerspectiveCamera( 45, aspect, 0.1, 1000 );\n",
       "\n",
       "    }\n",
       "\n",
       "    function updateCameraAspect( camera, aspect ) {\n",
       "\n",
       "        if ( camera.isPerspectiveCamera ) {\n",
       "            camera.aspect = aspect;\n",
       "        } else if ( camera.isOrthographicCamera ) {\n",
       "            // Fit the camera frustum to the bounding box's diagonal so that the entire plot fits\n",
       "            // within at the default zoom level and camera position.\n",
       "            if ( aspect > 1 ) { // Wide window\n",
       "                camera.top = midToCorner;\n",
       "                camera.right = midToCorner * aspect;\n",
       "            } else { // Tall or square window\n",
       "                camera.top = midToCorner / aspect;\n",
       "                camera.right = midToCorner;\n",
       "            }\n",
       "            camera.bottom = -camera.top;\n",
       "            camera.left = -camera.right;\n",
       "        }\n",
       "\n",
       "        camera.updateProjectionMatrix();\n",
       "\n",
       "    }\n",
       "\n",
       "    var lights = [{&quot;x&quot;:-5, &quot;y&quot;:3, &quot;z&quot;:0, &quot;color&quot;:&quot;#7f7f7f&quot;, &quot;parent&quot;:&quot;camera&quot;}];\n",
       "    for ( var i=0 ; i < lights.length ; i++ ) {\n",
       "        var light = new THREE.DirectionalLight( lights[i].color, 1 );\n",
       "        light.position.set( a[0]*lights[i].x, a[1]*lights[i].y, a[2]*lights[i].z );\n",
       "        if ( lights[i].parent === 'camera' ) {\n",
       "            light.target.position.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "            scene.add( light.target );\n",
       "            camera.add( light );\n",
       "        } else scene.add( light );\n",
       "    }\n",
       "    scene.add( camera );\n",
       "\n",
       "    var ambient = {&quot;color&quot;:&quot;#7f7f7f&quot;};\n",
       "    scene.add( new THREE.AmbientLight( ambient.color, 1 ) );\n",
       "\n",
       "    var controls = new THREE.OrbitControls( camera, renderer.domElement );\n",
       "    controls.target.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "    controls.addEventListener( 'change', function() { if ( !animate ) render(); } );\n",
       "\n",
       "    window.addEventListener( 'resize', function() {\n",
       "\n",
       "        renderer.setSize( window.innerWidth, window.innerHeight );\n",
       "        updateCameraAspect( camera, window.innerWidth / window.innerHeight );\n",
       "        if ( !animate ) render();\n",
       "\n",
       "    } );\n",
       "\n",
       "    var texts = [];\n",
       "    for ( var i=0 ; i < texts.length ; i++ ) addText( texts[i] );\n",
       "\n",
       "    function addText( json ) {\n",
       "        json.fontFamily = json.fontFamily.map( function( f ) {\n",
       "            // Need to put quotes around fonts that have whitespace in their names.\n",
       "            return /\\s/.test( f ) ? '&quot;' + f + '&quot;' : f;\n",
       "        }).join(', ');\n",
       "        var sprite = addLabel( json.text, a[0]*json.x, a[1]*json.y, a[2]*json.z, json.color,\n",
       "                               json.fontSize, json.fontFamily, json.fontStyle, json.fontWeight,\n",
       "                               json.opacity );\n",
       "        sprite.userData = json;\n",
       "    }\n",
       "\n",
       "    var points = [];\n",
       "    for ( var i=0 ; i < points.length ; i++ ) addPoint( points[i] );\n",
       "\n",
       "    function addPoint( json ) {\n",
       "\n",
       "        var geometry = new THREE.Geometry();\n",
       "        var v = json.point;\n",
       "        geometry.vertices.push( new THREE.Vector3( a[0]*v[0], a[1]*v[1], a[2]*v[2] ) );\n",
       "\n",
       "        var canvas = document.createElement( 'canvas' );\n",
       "        canvas.width = 128;\n",
       "        canvas.height = 128;\n",
       "\n",
       "        var context = canvas.getContext( '2d' );\n",
       "        context.arc( 64, 64, 64, 0, 2 * Math.PI );\n",
       "        context.fillStyle = json.color;\n",
       "        context.fill();\n",
       "\n",
       "        var texture = new THREE.Texture( canvas );\n",
       "        texture.needsUpdate = true;\n",
       "\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var size = camera.isOrthographicCamera ? json.size : json.size/100;\n",
       "        var material = new THREE.PointsMaterial( { size: size, map: texture,\n",
       "                                                   transparent: transparent, opacity: json.opacity,\n",
       "                                                   alphaTest: .1 } );\n",
       "\n",
       "        var c = new THREE.Vector3();\n",
       "        geometry.computeBoundingBox();\n",
       "        geometry.boundingBox.getCenter( c );\n",
       "        geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "        var mesh = new THREE.Points( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        mesh.userData = json;\n",
       "        scene.add( mesh );\n",
       "\n",
       "    }\n",
       "\n",
       "    var lines = [];\n",
       "    for ( var i=0 ; i < lines.length ; i++ ) addLine( lines[i] );\n",
       "\n",
       "    function addLine( json ) {\n",
       "\n",
       "        var geometry = new THREE.Geometry();\n",
       "        for ( var i=0 ; i < json.points.length ; i++ ) {\n",
       "            var v = json.points[i];\n",
       "            geometry.vertices.push( new THREE.Vector3( a[0]*v[0], a[1]*v[1], a[2]*v[2] ) );\n",
       "        }\n",
       "\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var material = new THREE.LineBasicMaterial( { color: json.color, linewidth: json.linewidth,\n",
       "                                                      transparent: transparent, opacity: json.opacity } );\n",
       "\n",
       "        var c = new THREE.Vector3();\n",
       "        geometry.computeBoundingBox();\n",
       "        geometry.boundingBox.getCenter( c );\n",
       "        geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "        var mesh = new THREE.Line( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        mesh.userData = json;\n",
       "        scene.add( mesh );\n",
       "\n",
       "    }\n",
       "\n",
       "    var surfaces = [{&quot;vertices&quot;: [{&quot;x&quot;: 1.0, &quot;y&quot;: 1.0, &quot;z&quot;: -0.7}, {&quot;x&quot;: 1.1078405118069556, &quot;y&quot;: 1.0190151918449761, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 1.1095041255281617, &quot;y&quot;: 1.0, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 1.1029002187044272, &quot;y&quot;: 1.037452616707894, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 1.094833354526588, &quot;y&quot;: 1.0547520627640807, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 1.0838850268594513, &quot;y&quot;: 1.0703878950990617, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 1.0703878950990617, &quot;y&quot;: 1.0838850268594513, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 1.0547520627640807, &quot;y&quot;: 1.094833354526588, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 1.037452616707894, &quot;y&quot;: 1.1029002187044272, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 1.0190151918449761, &quot;y&quot;: 1.1078405118069556, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 1.0, &quot;y&quot;: 1.1095041255281617, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 0.980984808155024, &quot;y&quot;: 1.1078405118069556, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 0.9625473832921062, &quot;y&quot;: 1.1029002187044272, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 0.9452479372359192, &quot;y&quot;: 1.094833354526588, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 0.9296121049009383, &quot;y&quot;: 1.0838850268594513, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 0.9161149731405488, &quot;y&quot;: 1.0703878950990617, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 0.905166645473412, &quot;y&quot;: 1.054752062764081, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 0.8970997812955727, &quot;y&quot;: 1.037452616707894, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 0.8921594881930444, &quot;y&quot;: 1.0190151918449761, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 0.8904958744718383, &quot;y&quot;: 1.0, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 0.8921594881930444, &quot;y&quot;: 0.980984808155024, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 0.8970997812955727, &quot;y&quot;: 0.9625473832921061, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 0.905166645473412, &quot;y&quot;: 0.9452479372359192, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 0.9161149731405487, &quot;y&quot;: 0.9296121049009383, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 0.9296121049009383, &quot;y&quot;: 0.9161149731405488, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 0.9452479372359192, &quot;y&quot;: 0.905166645473412, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 0.9625473832921061, &quot;y&quot;: 0.8970997812955727, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 0.980984808155024, &quot;y&quot;: 0.8921594881930444, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 1.0, &quot;y&quot;: 0.8904958744718383, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 1.019015191844976, &quot;y&quot;: 0.8921594881930444, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 1.037452616707894, &quot;y&quot;: 0.8970997812955727, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 1.0547520627640807, &quot;y&quot;: 0.905166645473412, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 1.0703878950990617, &quot;y&quot;: 0.9161149731405487, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 1.0838850268594513, &quot;y&quot;: 0.9296121049009382, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 1.094833354526588, &quot;y&quot;: 0.9452479372359193, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 1.1029002187044272, &quot;y&quot;: 0.9625473832921061, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 1.1078405118069556, &quot;y&quot;: 0.980984808155024, &quot;z&quot;: -0.6913818384165964}, {&quot;x&quot;: 1.2130256323110846, &quot;y&quot;: 1.0375621665589252, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 1.2163118960624633, &quot;y&quot;: 1.0, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 1.203266692518105, &quot;y&quot;: 1.0739830256943308, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 1.1873315971308722, &quot;y&quot;: 1.1081559480312315, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 1.1657045259591798, &quot;y&quot;: 1.1390426066167538, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 1.1390426066167538, &quot;y&quot;: 1.1657045259591798, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 1.1081559480312315, &quot;y&quot;: 1.1873315971308722, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 1.0739830256943308, &quot;y&quot;: 1.203266692518105, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 1.0375621665589252, &quot;y&quot;: 1.2130256323110846, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 1.0, &quot;y&quot;: 1.2163118960624633, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 0.9624378334410748, &quot;y&quot;: 1.2130256323110846, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 0.9260169743056692, &quot;y&quot;: 1.203266692518105, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 0.8918440519687685, &quot;y&quot;: 1.1873315971308722, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 0.8609573933832462, &quot;y&quot;: 1.1657045259591798, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 0.8342954740408202, &quot;y&quot;: 1.1390426066167538, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 0.8126684028691278, &quot;y&quot;: 1.1081559480312317, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 0.796733307481895, &quot;y&quot;: 1.0739830256943308, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 0.7869743676889154, &quot;y&quot;: 1.0375621665589252, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 0.7836881039375367, &quot;y&quot;: 1.0, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 0.7869743676889153, &quot;y&quot;: 0.9624378334410749, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 0.796733307481895, &quot;y&quot;: 0.9260169743056692, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 0.8126684028691278, &quot;y&quot;: 0.8918440519687684, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 0.83429547404082, &quot;y&quot;: 0.8609573933832462, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 0.8609573933832462, &quot;y&quot;: 0.8342954740408202, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 0.8918440519687683, &quot;y&quot;: 0.8126684028691278, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 0.9260169743056692, &quot;y&quot;: 0.796733307481895, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 0.9624378334410748, &quot;y&quot;: 0.7869743676889154, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 1.0, &quot;y&quot;: 0.7836881039375367, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 1.0375621665589252, &quot;y&quot;: 0.7869743676889153, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 1.0739830256943308, &quot;y&quot;: 0.796733307481895, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 1.1081559480312315, &quot;y&quot;: 0.8126684028691277, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 1.1390426066167538, &quot;y&quot;: 0.8342954740408202, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 1.1657045259591798, &quot;y&quot;: 0.8609573933832461, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 1.1873315971308722, &quot;y&quot;: 0.8918440519687685, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 1.203266692518105, &quot;y&quot;: 0.9260169743056692, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 1.2130256323110846, &quot;y&quot;: 0.9624378334410748, &quot;z&quot;: -0.6657395614066074}, {&quot;x&quot;: 1.3129653547561748, &quot;y&quot;: 1.05518423607051, &quot;z&quot;: -0.6237045669318574}, {&quot;x&quot;: 1.3177933498176828, &quot;y&quot;: 1.0, &quot;z&quot;: 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274, 273], [238, 239, 275, 274], [239, 240, 276, 275], [240, 241, 277, 276], [241, 242, 278, 277], [242, 243, 279, 278], [243, 244, 280, 279], [244, 245, 281, 280], [245, 246, 282, 281], [246, 247, 283, 282], [247, 248, 284, 283], [248, 249, 285, 284], [249, 250, 286, 285], [250, 251, 287, 286], [251, 252, 288, 287], [252, 218, 254, 288], [254, 253, 289, 290], [253, 255, 291, 289], [255, 256, 292, 291], [256, 257, 293, 292], [257, 258, 294, 293], [258, 259, 295, 294], [259, 260, 296, 295], [260, 261, 297, 296], [261, 262, 298, 297], [262, 263, 299, 298], [263, 264, 300, 299], [264, 265, 301, 300], [265, 266, 302, 301], [266, 267, 303, 302], [267, 268, 304, 303], [268, 269, 305, 304], [269, 270, 306, 305], [270, 271, 307, 306], [271, 272, 308, 307], [272, 273, 309, 308], [273, 274, 310, 309], [274, 275, 311, 310], [275, 276, 312, 311], [276, 277, 313, 312], [277, 278, 314, 313], [278, 279, 315, 314], [279, 280, 316, 315], [280, 281, 317, 316], [281, 282, 318, 317], [282, 283, 319, 318], [283, 284, 320, 319], [284, 285, 321, 320], [285, 286, 322, 321], [286, 287, 323, 322], [287, 288, 324, 323], [288, 254, 290, 324], [290, 289, 325, 326], [289, 291, 327, 325], [291, 292, 328, 327], [292, 293, 329, 328], [293, 294, 330, 329], [294, 295, 331, 330], [295, 296, 332, 331], [296, 297, 333, 332], [297, 298, 334, 333], [298, 299, 335, 334], [299, 300, 336, 335], [300, 301, 337, 336], [301, 302, 338, 337], [302, 303, 339, 338], [303, 304, 340, 339], [304, 305, 341, 340], [305, 306, 342, 341], [306, 307, 343, 342], [307, 308, 344, 343], [308, 309, 345, 344], [309, 310, 346, 345], [310, 311, 347, 346], [311, 312, 348, 347], [312, 313, 349, 348], [313, 314, 350, 349], [314, 315, 351, 350], [315, 316, 352, 351], [316, 317, 353, 352], [317, 318, 354, 353], [318, 319, 355, 354], [319, 320, 356, 355], [320, 321, 357, 356], [321, 322, 358, 357], [322, 323, 359, 358], [323, 324, 360, 359], [324, 290, 326, 360], [326, 325, 361, 362], [325, 327, 363, 361], [327, 328, 364, 363], [328, 329, 365, 364], [329, 330, 366, 365], [330, 331, 367, 366], [331, 332, 368, 367], [332, 333, 369, 368], [333, 334, 370, 369], [334, 335, 371, 370], [335, 336, 372, 371], [336, 337, 373, 372], [337, 338, 374, 373], [338, 339, 375, 374], [339, 340, 376, 375], [340, 341, 377, 376], [341, 342, 378, 377], [342, 343, 379, 378], [343, 344, 380, 379], [344, 345, 381, 380], [345, 346, 382, 381], [346, 347, 383, 382], [347, 348, 384, 383], [348, 349, 385, 384], [349, 350, 386, 385], [350, 351, 387, 386], [351, 352, 388, 387], [352, 353, 389, 388], [353, 354, 390, 389], [354, 355, 391, 390], [355, 356, 392, 391], [356, 357, 393, 392], [357, 358, 394, 393], [358, 359, 395, 394], [359, 360, 396, 395], [360, 326, 362, 396], [362, 361, 397, 398], [361, 363, 399, 397], [363, 364, 400, 399], [364, 365, 401, 400], [365, 366, 402, 401], [366, 367, 403, 402], [367, 368, 404, 403], [368, 369, 405, 404], [369, 370, 406, 405], [370, 371, 407, 406], [371, 372, 408, 407], [372, 373, 409, 408], [373, 374, 410, 409], [374, 375, 411, 410], [375, 376, 412, 411], [376, 377, 413, 412], [377, 378, 414, 413], [378, 379, 415, 414], [379, 380, 416, 415], [380, 381, 417, 416], [381, 382, 418, 417], [382, 383, 419, 418], [383, 384, 420, 419], [384, 385, 421, 420], [385, 386, 422, 421], [386, 387, 423, 422], [387, 388, 424, 423], [388, 389, 425, 424], [389, 390, 426, 425], [390, 391, 427, 426], [391, 392, 428, 427], [392, 393, 429, 428], [393, 394, 430, 429], [394, 395, 431, 430], [395, 396, 432, 431], [396, 362, 398, 432], [398, 397, 433, 434], [397, 399, 435, 433], [399, 400, 436, 435], [400, 401, 437, 436], [401, 402, 438, 437], [402, 403, 439, 438], [403, 404, 440, 439], [404, 405, 441, 440], [405, 406, 442, 441], [406, 407, 443, 442], [407, 408, 444, 443], [408, 409, 445, 444], [409, 410, 446, 445], [410, 411, 447, 446], [411, 412, 448, 447], [412, 413, 449, 448], [413, 414, 450, 449], [414, 415, 451, 450], [415, 416, 452, 451], [416, 417, 453, 452], [417, 418, 454, 453], [418, 419, 455, 454], [419, 420, 456, 455], [420, 421, 457, 456], [421, 422, 458, 457], [422, 423, 459, 458], [423, 424, 460, 459], [424, 425, 461, 460], [425, 426, 462, 461], [426, 427, 463, 462], [427, 428, 464, 463], [428, 429, 465, 464], [429, 430, 466, 465], [430, 431, 467, 466], [431, 432, 468, 467], [432, 398, 434, 468], [434, 433, 469, 470], [433, 435, 471, 469], [435, 436, 472, 471], [436, 437, 473, 472], [437, 438, 474, 473], [438, 439, 475, 474], [439, 440, 476, 475], [440, 441, 477, 476], [441, 442, 478, 477], [442, 443, 479, 478], [443, 444, 480, 479], [444, 445, 481, 480], [445, 446, 482, 481], [446, 447, 483, 482], [447, 448, 484, 483], [448, 449, 485, 484], [449, 450, 486, 485], [450, 451, 487, 486], [451, 452, 488, 487], [452, 453, 489, 488], [453, 454, 490, 489], [454, 455, 491, 490], [455, 456, 492, 491], [456, 457, 493, 492], [457, 458, 494, 493], [458, 459, 495, 494], [459, 460, 496, 495], [460, 461, 497, 496], [461, 462, 498, 497], [462, 463, 499, 498], [463, 464, 500, 499], [464, 465, 501, 500], [465, 466, 502, 501], [466, 467, 503, 502], [467, 468, 504, 503], [468, 434, 470, 504], [470, 469, 505, 506], [469, 471, 507, 505], [471, 472, 508, 507], [472, 473, 509, 508], [473, 474, 510, 509], [474, 475, 511, 510], [475, 476, 512, 511], [476, 477, 513, 512], [477, 478, 514, 513], [478, 479, 515, 514], [479, 480, 516, 515], [480, 481, 517, 516], [481, 482, 518, 517], [482, 483, 519, 518], [483, 484, 520, 519], [484, 485, 521, 520], [485, 486, 522, 521], [486, 487, 523, 522], [487, 488, 524, 523], [488, 489, 525, 524], [489, 490, 526, 525], [490, 491, 527, 526], [491, 492, 528, 527], [492, 493, 529, 528], [493, 494, 530, 529], [494, 495, 531, 530], [495, 496, 532, 531], [496, 497, 533, 532], [497, 498, 534, 533], [498, 499, 535, 534], [499, 500, 536, 535], [500, 501, 537, 536], [501, 502, 538, 537], [502, 503, 539, 538], [503, 504, 540, 539], [504, 470, 506, 540], [506, 505, 541, 542], [505, 507, 543, 541], [507, 508, 544, 543], [508, 509, 545, 544], [509, 510, 546, 545], [510, 511, 547, 546], [511, 512, 548, 547], [512, 513, 549, 548], [513, 514, 550, 549], [514, 515, 551, 550], [515, 516, 552, 551], [516, 517, 553, 552], [517, 518, 554, 553], [518, 519, 555, 554], [519, 520, 556, 555], [520, 521, 557, 556], [521, 522, 558, 557], [522, 523, 559, 558], [523, 524, 560, 559], [524, 525, 561, 560], [525, 526, 562, 561], [526, 527, 563, 562], [527, 528, 564, 563], [528, 529, 565, 564], [529, 530, 566, 565], [530, 531, 567, 566], [531, 532, 568, 567], [532, 533, 569, 568], [533, 534, 570, 569], [534, 535, 571, 570], [535, 536, 572, 571], [536, 537, 573, 572], [537, 538, 574, 573], [538, 539, 575, 574], [539, 540, 576, 575], [540, 506, 542, 576], [542, 541, 577, 578], [541, 543, 579, 577], [543, 544, 580, 579], [544, 545, 581, 580], [545, 546, 582, 581], [546, 547, 583, 582], [547, 548, 584, 583], [548, 549, 585, 584], [549, 550, 586, 585], [550, 551, 587, 586], [551, 552, 588, 587], [552, 553, 589, 588], [553, 554, 590, 589], [554, 555, 591, 590], [555, 556, 592, 591], [556, 557, 593, 592], [557, 558, 594, 593], [558, 559, 595, 594], [559, 560, 596, 595], [560, 561, 597, 596], [561, 562, 598, 597], [562, 563, 599, 598], [563, 564, 600, 599], [564, 565, 601, 600], [565, 566, 602, 601], [566, 567, 603, 602], [567, 568, 604, 603], [568, 569, 605, 604], [569, 570, 606, 605], [570, 571, 607, 606], [571, 572, 608, 607], [572, 573, 609, 608], [573, 574, 610, 609], [574, 575, 611, 610], [575, 576, 612, 611], [576, 542, 578, 612], [578, 577, 613, 614], [577, 579, 615, 613], [579, 580, 616, 615], [580, 581, 617, 616], [581, 582, 618, 617], [582, 583, 619, 618], [583, 584, 620, 619], [584, 585, 621, 620], [585, 586, 622, 621], [586, 587, 623, 622], [587, 588, 624, 623], [588, 589, 625, 624], [589, 590, 626, 625], [590, 591, 627, 626], [591, 592, 628, 627], [592, 593, 629, 628], [593, 594, 630, 629], [594, 595, 631, 630], [595, 596, 632, 631], [596, 597, 633, 632], [597, 598, 634, 633], [598, 599, 635, 634], [599, 600, 636, 635], [600, 601, 637, 636], [601, 602, 638, 637], [602, 603, 639, 638], [603, 604, 640, 639], [604, 605, 641, 640], [605, 606, 642, 641], [606, 607, 643, 642], [607, 608, 644, 643], [608, 609, 645, 644], [609, 610, 646, 645], [610, 611, 647, 646], [611, 612, 648, 647], [612, 578, 614, 648], [614, 613, 649, 650], [613, 615, 651, 649], [615, 616, 652, 651], [616, 617, 653, 652], [617, 618, 654, 653], [618, 619, 655, 654], [619, 620, 656, 655], [620, 621, 657, 656], [621, 622, 658, 657], [622, 623, 659, 658], [623, 624, 660, 659], [624, 625, 661, 660], [625, 626, 662, 661], [626, 627, 663, 662], [627, 628, 664, 663], [628, 629, 665, 664], [629, 630, 666, 665], [630, 631, 667, 666], [631, 632, 668, 667], [632, 633, 669, 668], [633, 634, 670, 669], [634, 635, 671, 670], [635, 636, 672, 671], [636, 637, 673, 672], [637, 638, 674, 673], [638, 639, 675, 674], [639, 640, 676, 675], [640, 641, 677, 676], [641, 642, 678, 677], [642, 643, 679, 678], [643, 644, 680, 679], [644, 645, 681, 680], [645, 646, 682, 681], [646, 647, 683, 682], [647, 648, 684, 683], [648, 614, 650, 684], [650, 649, 685], [649, 651, 685], [651, 652, 685], [652, 653, 685], [653, 654, 685], [654, 655, 685], [655, 656, 685], [656, 657, 685], [657, 658, 685], [658, 659, 685], [659, 660, 685], [660, 661, 685], [661, 662, 685], [662, 663, 685], [663, 664, 685], [664, 665, 685], [665, 666, 685], [666, 667, 685], [667, 668, 685], [668, 669, 685], [669, 670, 685], [670, 671, 685], [671, 672, 685], [672, 673, 685], [673, 674, 685], [674, 675, 685], [675, 676, 685], [676, 677, 685], [677, 678, 685], [678, 679, 685], [679, 680, 685], [680, 681, 685], [681, 682, 685], [682, 683, 685], [683, 684, 685], [684, 650, 685]], &quot;color&quot;: &quot;#f0f8ff&quot;, &quot;opacity&quot;: 1.0, &quot;showMeshGrid&quot;: true}, {&quot;vertices&quot;: [{&quot;x&quot;: 0.0, &quot;y&quot;: 0.0, &quot;z&quot;: 1.0}, {&quot;x&quot;: 0.9428090415820635, &quot;y&quot;: 0.0, &quot;z&quot;: -0.3333333333333333}, {&quot;x&quot;: -0.47140452079103173, &quot;y&quot;: 0.8164965809277259, &quot;z&quot;: -0.3333333333333333}, {&quot;x&quot;: -0.47140452079103173, &quot;y&quot;: -0.8164965809277259, &quot;z&quot;: -0.3333333333333333}], &quot;faces&quot;: [[0, 1, 2], [1, 3, 2], [0, 2, 3], [0, 3, 1]], &quot;color&quot;: &quot;#ff0000&quot;, &quot;opacity&quot;: 1.0, &quot;useFlatShading&quot;: true}];\n",
       "    for ( var i=0 ; i < surfaces.length ; i++ ) addSurface( surfaces[i] );\n",
       "\n",
       "    function addSurface( json ) {\n",
       "\n",
       "        var useFaceColors = 'faceColors' in json ? true : false;\n",
       "\n",
       "        var geometry = new THREE.Geometry();\n",
       "        for ( var i=0 ; i < json.vertices.length ; i++ ) {\n",
       "            var v = json.vertices[i];\n",
       "            geometry.vertices.push( new THREE.Vector3( a[0]*v.x, a[1]*v.y, a[2]*v.z ) );\n",
       "        }\n",
       "        for ( var i=0 ; i < json.faces.length ; i++ ) {\n",
       "            var f = json.faces[i];\n",
       "            for ( var j=0 ; j < f.length - 2 ; j++ ) {\n",
       "                var face = new THREE.Face3( f[0], f[j+1], f[j+2] );\n",
       "                if ( useFaceColors ) face.color.set( json.faceColors[i] );\n",
       "                geometry.faces.push( face );\n",
       "            }\n",
       "        }\n",
       "        geometry.computeVertexNormals();\n",
       "\n",
       "        var side = json.singleSide ? THREE.FrontSide : THREE.DoubleSide;\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var flatShading = json.useFlatShading ? json.useFlatShading : false;\n",
       "\n",
       "        var material = new THREE.MeshPhongMaterial( { side: side,\n",
       "                                     color: useFaceColors ? 'white' : json.color,\n",
       "                                     vertexColors: useFaceColors ? THREE.FaceColors : THREE.NoColors,\n",
       "                                     transparent: transparent, opacity: json.opacity,\n",
       "                                     shininess: 20, flatShading: flatShading } );\n",
       "\n",
       "        var c = new THREE.Vector3();\n",
       "        geometry.computeBoundingBox();\n",
       "        geometry.boundingBox.getCenter( c );\n",
       "        geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "        var mesh = new THREE.Mesh( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        if ( transparent && json.renderOrder ) mesh.renderOrder = json.renderOrder;\n",
       "        mesh.userData = json;\n",
       "        scene.add( mesh );\n",
       "\n",
       "        if ( json.showMeshGrid ) {\n",
       "\n",
       "            var geometry = new THREE.Geometry();\n",
       "\n",
       "            for ( var i=0 ; i < json.faces.length ; i++ ) {\n",
       "                var f = json.faces[i];\n",
       "                for ( var j=0 ; j < f.length ; j++ ) {\n",
       "                    var k = j === f.length-1 ? 0 : j+1;\n",
       "                    var v1 = json.vertices[f[j]];\n",
       "                    var v2 = json.vertices[f[k]];\n",
       "                    // vertices in opposite directions on neighboring faces\n",
       "                    var nudge = f[j] < f[k] ? .0005*zRange : -.0005*zRange;\n",
       "                    geometry.vertices.push( new THREE.Vector3( a[0]*v1.x, a[1]*v1.y, a[2]*(v1.z+nudge) ) );\n",
       "                    geometry.vertices.push( new THREE.Vector3( a[0]*v2.x, a[1]*v2.y, a[2]*(v2.z+nudge) ) );\n",
       "                }\n",
       "            }\n",
       "\n",
       "            var material = new THREE.LineBasicMaterial( { color: 'black', linewidth: 1 } );\n",
       "\n",
       "            var c = new THREE.Vector3();\n",
       "            geometry.computeBoundingBox();\n",
       "            geometry.boundingBox.getCenter( c );\n",
       "            geometry.translate( -c.x, -c.y, -c.z );\n",
       "\n",
       "            var mesh = new THREE.LineSegments( geometry, material );\n",
       "            mesh.position.set( c.x, c.y, c.z );\n",
       "            mesh.userData = json;\n",
       "            scene.add( mesh );\n",
       "\n",
       "        }\n",
       "\n",
       "    }\n",
       "\n",
       "    function render() {\n",
       "\n",
       "        if ( window.updateAnimation ) animate = updateAnimation();\n",
       "        if ( animate ) requestAnimationFrame( render );\n",
       "\n",
       "        renderer.render( scene, camera );\n",
       "\n",
       "    }\n",
       "\n",
       "    render();\n",
       "    controls.update();\n",
       "    if ( !animate ) render();\n",
       "\n",
       "\n",
       "    // menu functions\n",
       "\n",
       "    function toggleMenu() {\n",
       "\n",
       "        var m = document.getElementById( 'menu-content' );\n",
       "        if ( m.style.display === 'block' ) m.style.display = 'none'\n",
       "        else m.style.display = 'block';\n",
       "\n",
       "    }\n",
       "\n",
       "\n",
       "    function saveAsPNG() {\n",
       "\n",
       "        var a = document.body.appendChild( document.createElement( 'a' ) );\n",
       "        a.href = renderer.domElement.toDataURL( 'image/png' );\n",
       "        a.download = 'screenshot';\n",
       "        a.click();\n",
       "\n",
       "    }\n",
       "\n",
       "    function saveAsHTML() {\n",
       "\n",
       "        toggleMenu(); // otherwise visible in output\n",
       "        event.stopPropagation();\n",
       "\n",
       "        var blob = new Blob( [ '<!DOCTYPE html>\\n' + document.documentElement.outerHTML ] );\n",
       "        var a = document.body.appendChild( document.createElement( 'a' ) );\n",
       "        a.href = window.URL.createObjectURL( blob );\n",
       "        a.download = 'graphic.html';\n",
       "        a.click();\n",
       "\n",
       "    }\n",
       "\n",
       "    function getViewpoint() {\n",
       "\n",
       "        function roundTo( x, n ) { return +x.toFixed(n); }\n",
       "\n",
       "        var v = camera.quaternion.inverse();\n",
       "        var r = Math.sqrt( v.x*v.x + v.y*v.y + v.z*v.z );\n",
       "        var axis = [ roundTo( v.x / r, 4 ), roundTo( v.y / r, 4 ), roundTo( v.z / r, 4 ) ];\n",
       "        var angle = roundTo( 2 * Math.atan2( r, v.w ) * 180 / Math.PI, 2 );\n",
       "\n",
       "        var textArea = document.createElement( 'textarea' );\n",
       "        textArea.textContent = JSON.stringify( axis ) + ',' + angle;\n",
       "        textArea.style.csstext = 'position: absolute; top: -100%';\n",
       "        document.body.append( textArea );\n",
       "        textArea.select();\n",
       "        document.execCommand( 'copy' );\n",
       "\n",
       "        var m = document.getElementById( 'menu-message' );\n",
       "        m.innerHTML = 'Viewpoint copied to clipboard';\n",
       "        m.style.display = 'block';\n",
       "        setTimeout( function() { m.style.display = 'none'; }, 2000 );\n",
       "\n",
       "    }\n",
       "\n",
       "</script>\n",
       "\n",
       "<div id=&quot;menu-container&quot; onclick=&quot;toggleMenu()&quot;>&#x24d8;\n",
       "<div id=&quot;menu-message&quot;></div>\n",
       "<div id=&quot;menu-content&quot;>\n",
       "<div onclick=&quot;saveAsPNG()&quot;>Save as PNG</div>\n",
       "<div onclick=&quot;saveAsHTML()&quot;>Save as HTML</div>\n",
       "<div onclick=&quot;getViewpoint()&quot;>Get Viewpoint</div>\n",
       "<div>Close Menu</div>\n",
       "</div></div>\n",
       "\n",
       "\n",
       "</body>\n",
       "</html>\n",
       "\"\n",
       "        width=\"100%\"\n",
       "        height=\"400\"\n",
       "        style=\"border: 0;\">\n",
       "</iframe>\n"
      ],
      "text/plain": [
       "Graphics3d Object"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = sphere((1,1,0), .7,color='aliceblue', mesh=True)\n",
    "B = tetrahedron(color='red')\n",
    "A+B"
   ]
  },
  {
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   "source": [
    "Mais [aqui](https://doc.sagemath.org/html/en/reference/plot3d/sage/plot/plot3d/base.html?highlight=torus)"
   ]
  },
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   "source": [
    "### 5. Resumo\n",
    "\n",
    "Tipo de gráfico | Sintáxe\n",
    ":--:|:--:\n",
    "Funções simbólicas | `plot3d(f(x,y),(x,min,max),(y,min,max))`\n",
    "Exibir um ou mais | `show(gráfico, opções)`\n",
    "Superfícies parametrizadas | `parametric_plot3d(S(u,v),(u,min,max),(v,min,max))`\n",
    "Funções implícitas | `implicit_plot3d(f(x,y,z),(x,min,max),(y,min,max),(z,min,max))`\n",
    "Campos vetoriais | `plot_vector_field3d(V(x,y,z),(x,min,max),(y,min,max),(z,min,max))`\n",
    "Objetos pré definodos | Consulte [aqui](https://doc.sagemath.org/html/en/reference/plot3d/sage/plot/plot3d/base.html?highlight=torus)"
   ]
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