{ "cells": [ { "cell_type": "code", "execution_count": 109, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# load the definitions from the previous notebooks\n", "%run SevenfoldRotation.py\n", "\n", "def rotate( v, center=(zero,zero) ) :\n", " x, y = v\n", " cx, cy = center\n", " x -= cx\n", " y -= cy\n", " return ( cx + r*x + t*y, cy + s*x + u*y )\n", "\n", "def scale( s, v, center=(zero,zero) ) :\n", " x, y = v\n", " cx, cy = center\n", " x -= cx\n", " y -= cy\n", " return ( cx + x*s, cy + y*s )\n", "\n", "def rotaten( n, v, center=(zero,zero) ):\n", " for i in range(n):\n", " v = rotate( v, center )\n", " return v\n" ] }, { "cell_type": "code", "execution_count": 110, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "data": { "text/plain": [ "(-3.0, 6.0, -2.0, 4.0)" ] }, "execution_count": 110, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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oL3ySbhf44rRb9P/BZiEcjwvL5Qom0lWi/zNwOnC5GjxbS8VFj2qvXPQl+gt7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\n2+HCYcA+wEO4cAk2ARVc+Au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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%pylab inline\n", "\n", "origin = ( zero, zero )\n", "\n", "def nautilus( n ):\n", " result = []\n", " def shrink(v):\n", " return scale( rho_over_sigma, v )\n", " p1 = ( sigma*sigma, zero )\n", " p2 = ( rho, rho*rho )\n", " for i in range(n):\n", " result .append( origin )\n", " result .append( p1 )\n", " result .append( p2 )\n", " p1 = p2\n", " p2 = rotate( shrink( p2 ) )\n", " return result\n", "\n", "fig = plt.figure(figsize=(9,6))\n", "ax = fig.add_subplot(111)\n", "ax.add_patch( drawPolygon( nautilus( 22 ), '#0044aa', skewRender ) )\n", "ax.set_xlim(-3,6)\n", "ax.set_ylim(-2,4)\n", "ax.axis('off')" ] }, { "cell_type": "code", "execution_count": 127, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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465rFWj3Lna7Fgg1ZGOMrs+ouj+09mxW5dUVZtSwDDmvFIrXGfI/kZUPbg5rk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\nx3sJ4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TXs8AEnqtGUl9c2dBZpeHYrgAGA+vgM2PsWebNpK2w/KuF+BzWZFRGDaOyw7Wlz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\nGZbV3s0Xqd2M/ZvOwYrU6hfsmkLKQa5Wwa73qP/vGOAzJR9p3wdXY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "def minusv( v1, v2 ) :\n", " h1, h2 = v1\n", " h3, h4 = v2\n", " return ( h1-h3, h2-h4 )\n", "\n", "\n", "fig = plt.figure(figsize=(12,12))\n", "ax = fig.add_subplot(111)\n", "ax.set_xlim(-8,12)\n", "ax.set_ylim(-5,15)\n", "ax.axis('off')\n", "\n", "def segment( p1, p2, color='#007799' ):\n", " codes = [ Path.MOVETO, Path.LINETO ]\n", " verts = [ skewRender( p1 ), skewRender( p2 ) ]\n", " path = mpath.Path( verts, codes )\n", " ax .add_patch( mpatches.PathPatch( path, facecolor='none', edgecolor=color, linewidth=2.2 ) )\n", " \n", "p0 = origin\n", "p1 = ( sigma, zero )\n", "p4 = ( zero, sigma*sigma )\n", "\n", "def fractal( v1, v2, count, spiralColor ):\n", " if count <= 0:\n", " return\n", " apex = rotate( scale( rho_over_sigma, v2, v1 ), v1 )\n", " shoulder_factor = ( rho + sigma_inv*rho_inv ) * sigma_inv\n", " scaled = scale( shoulder_factor, v2, v1 )\n", " shoulder = rotaten( 4, scaled, v1 )\n", " shoulder = scale( -1, shoulder, v1 )\n", " if count > 100:\n", " segment( v1, apex, color='#00aa00' )\n", " segment( v1, shoulder, color='#00aa00' )\n", " segment( apex, shoulder, spiralColor )\n", " segment( v2, shoulder, spiralColor )\n", " fractal( v1, apex, count-1, spiralColor )\n", "\n", "def fractal_simple( v1, v2, count, spiralColor, rayColor ):\n", " if count <= 0:\n", " return\n", " apex = rotate( scale( rho_over_sigma, v2, v1 ), v1 )\n", " segment( v1, apex, rayColor )\n", " segment( v2, apex, spiralColor )\n", " fractal_simple( v1, apex, count-1, spiralColor, rayColor )\n", "\n", "left = origin\n", "right = ( sigma*sigma, zero )\n", "for i in range(7):\n", " segment( left, right, '#003366' )\n", " fractal_simple( left, right, 25, '#006699', '#0033cc' )\n", " fractal_simple( right, left, 25, '#8800aa', '#9900bb' )\n", " newleft = right\n", " right = plusv( rotate( right, left ), minusv( right, left ) )\n", " left = newleft\n", "\n", "fig.savefig( \"heptanautiloid.pdf\" )" ] }, { "cell_type": "code", "execution_count": 126, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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eJu0Kok3aDe22O4gg/ZRU2HGE59oIuBiYR6QwrDf8K/bWk/gYWOixN8BSdWD4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\n+Zp+zrktJA6kBLvfBJ4F1gC+DkzPkSOb2eEuMiYNHnLkpTl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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,12))\n", "ax = fig.add_subplot(111)\n", "ax.set_xlim(-8,12)\n", "ax.set_ylim(-5,15)\n", "ax.axis('off')\n", "\n", "def brancher( v1, v2, count ):\n", " if count <= 0:\n", " return\n", " segment( v1, v2, '#dd7700' )\n", " apex = rotate( scale( rho_over_sigma, v2, v1 ), v1 )\n", " brancher( v1, apex, count-1 )\n", " if count % 4 == 0:\n", " brancher( apex, v2, count-1 )\n", " else:\n", " segment( apex, v2, '#dd7700' )\n", "\n", "left = origin\n", "right = ( sigma*sigma, zero )\n", "brancher( left, right, 20 )" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }