{ "metadata": { "name": "", "signature": "sha256:f35cf95e950a968e2866dc8580c4864cce1559dd6f3e8c4ea3c26624593a01e5" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "La proyecci\u00f3n de Mollweide" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Como continuaci\u00f3n de la entrada anterior en el blog, que estaba dedicada a las diferentes coordenadas astron\u00f3micas, vamos a abordar ahora una forma de representar gr\u00e1ficamente la posici\u00f3n de objetos en la esfera celeste. Cuando se trata de representar en el plano la esfera celeste de forma global se suele utilizar la proyecci\u00f3n de Mollweide. En este art\u00edculo veremos como generar representaciones gr\u00e1ficas con la proyecci\u00f3n de Mollweide utilizando la librer\u00eda **matplotlib** de Python. La posibilidad de generar este tipo de representaciones gr\u00e1ficas resulta bastante \u00fatil , pero como veremos, es un tanto \"tricky\".\n", "\n", "Autor: [Eduardo Mart\u00edn Calleja](http://balbuceosastropy.blogspot.com.es/)" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Importaciones y referencias" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "from __future__ import division\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import ephem # para las conversiones de coordenadas\n", "from IPython.core.display import HTML # Para incluir im\u00e1genes como HTML\n", "# Generar un cuadro con versiones de las librer\u00edas utilizadas en este notebook\n", "#https://github.com/jrjohansson/version_information\n", "%load_ext version_information\n", "%version_information numpy, matplotlib, ephem" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
SoftwareVersion
Python2.7.9 64bit [GCC 4.4.7 20120313 (Red Hat 4.4.7-1)]
IPython2.3.1
OSLinux 3.13.0 44 generic x86_64 with debian jessie sid
numpy1.9.1
matplotlib1.4.2
ephem3.7.5.3
Wed Jan 21 23:24:45 2015 CET
" ], "json": [ "{\"Software versions\": [{\"version\": \"2.7.9 64bit [GCC 4.4.7 20120313 (Red Hat 4.4.7-1)]\", \"module\": \"Python\"}, {\"version\": \"2.3.1\", \"module\": \"IPython\"}, {\"version\": \"Linux 3.13.0 44 generic x86_64 with debian jessie sid\", \"module\": \"OS\"}, {\"version\": \"1.9.1\", \"module\": \"numpy\"}, {\"version\": \"1.4.2\", \"module\": \"matplotlib\"}, {\"version\": \"3.7.5.3\", \"module\": \"ephem\"}]}" ], "latex": [ "\\begin{tabular}{|l|l|}\\hline\n", "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", "Python & 2.7.9 64bit [GCC 4.4.7 20120313 (Red Hat 4.4.7-1)] \\\\ \\hline\n", "IPython & 2.3.1 \\\\ \\hline\n", "OS & Linux 3.13.0 44 generic x86\\_64 with debian jessie sid \\\\ \\hline\n", "numpy & 1.9.1 \\\\ \\hline\n", "matplotlib & 1.4.2 \\\\ \\hline\n", "ephem & 3.7.5.3 \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Wed Jan 21 23:24:45 2015 CET} \\\\ \\hline\n", "\\end{tabular}\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 1, "text": [ "Software versions\n", "Python 2.7.9 64bit [GCC 4.4.7 20120313 (Red Hat 4.4.7-1)]\n", "IPython 2.3.1\n", "OS Linux 3.13.0 44 generic x86_64 with debian jessie sid\n", "numpy 1.9.1\n", "matplotlib 1.4.2\n", "ephem 3.7.5.3\n", "Wed Jan 21 23:24:45 2015 CET" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Como crear una proyecci\u00f3n de Mollweide" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vamos a realizar un primer ejemplo de proyecci\u00f3n de Mollweide utilizando las librer\u00edas numpy y matplotlib de la forma m\u00e1s estandar posible. En el gr\u00e1fico siguiente vamos a representar tres rect\u00e1ngulos curvilineos con $\\Delta RA=60^\\circ$ de base y $\\Delta \\delta = 45^\\circ$ de altura en tres posiciones diferentes" ] }, { "cell_type": "code", "collapsed": false, "input": [ "r = 90\n", "theta = np.arange(0,2*np.pi,0.1)\n", "x = np.array([0,np.pi/3,np.pi/3,0,0])\n", "y = np.array([0,0,np.pi/4,np.pi/4,0])\n", "fig = plt.figure(figsize=(10, 5))\n", "ax = fig.add_subplot(111, projection=\"mollweide\", axisbg ='LightCyan')\n", "ax.grid(True)\n", "ax.plot(x,y)\n", "ax.plot(x+np.pi/6,y+np.pi/6)\n", "ax.plot(x-np.pi/2,y-np.pi/2);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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GXEp0QNvXGwz3Pd95/Q4e2bcPTmfgloBSqVTo88IL2HXxomH28uVl6jdvPlOj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"text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Las lecciones que podemos extraer del anterior ejemplo son las siguientes:\n", "\n", "- Los valores de x e y , los cuales ser\u00e1n normalmente ascensiones rectas y declinaciones, o bien longitudes y latitudes, \u00a1deben ser expresados en radianes!, los valores de x e y deben estar en el rango: $-\\pi < x < \\pi$ , $-\\pi/2 < y < \\pi/2$. Podriamos comprobar que los valores que excedan este rango (por ej. $x = 3 \\pi/2$) no aparecen en la gr\u00e1fica.\n", "\n", "- La escala de los ejes en la representaci\u00f3n gr\u00e1fica cubre respectivamente los intervalos [-180, 180] y [-90, 90], es decir, la representaci\u00f3n gr\u00e1fica traduce los valores en radianes a valores en grados en estos intervalos.\n", "\n", "- Otro hecho significativo que tendremos que tener en cuenta en las proyecciones astron\u00f3micas, es que en la escala horizontal del gr\u00e1fico generado el sentido positivo es hacia la derecha, mientras que en las representaciones astron\u00f3micas la ascensi\u00f3n recta aumenta hacia el Este (situado convencionalmente a la izquierda en los mapas celestes)\n", "\n", "- La escala horizontal est\u00e1 centrada en x=0, lo cual debe ser tenido en cuenta ya que en las representaciones de la esfera celeste interesa a veces situar el centro en $RA = 90^\\circ$ o en $RA = 180^\\circ$\n", "\n", "Teniendo en cuenta todos estos puntos vamos a escribir a continuaci\u00f3n una funci\u00f3n que representar\u00e1 un par de arrays de valores (t\u00edpicamente RA y Dec) en un diagrama de dispersi\u00f3n de puntos en la esfera celeste con la proyecci\u00f3n de Mollweide" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_mwd(RA,Dec,org=0,title=u'Proyecci\u00f3n de Mollweide', projection='mollweide'):\n", " ''' RA, Dec son arrays de la misma longitud.\n", " RA toma valores en [0,360), Dec en [-90,90],\n", " los cuales representan \u00e1ngulos en grados.\n", " org es el origen del gr\u00e1fico, 0 o multipo de 30, en [0,360)\n", " title el t\u00edtulo del gr\u00e1fico\n", " projection es el tipo de proyecci\u00f3n: 'mollweide', 'aitoff', 'hammer', 'lambert'\n", " '''\n", " x = np.remainder(RA+360-org,360) # desplazamos los valores de RA\n", " ind = x>180\n", " x[ind] -=360 # Conversi\u00f3n de escala a [-180, 180]\n", " x=-x # invertir la escala: el Este a la izquierda\n", " tick_labels = np.array([150, 120, 90, 60, 30, 0, 330, 300, 270, 240, 210])\n", " tick_labels = np.remainder(tick_labels+360+org,360)\n", " fig = plt.figure(figsize=(10, 5))\n", " ax = fig.add_subplot(111, projection=projection, axisbg ='LightCyan')\n", " ax.scatter(np.radians(x),np.radians(Dec)) # convertir grados a radianes\n", " ax.set_xticklabels(tick_labels) # A\u00f1adimos escala en el eje x\n", " ax.set_title(title)\n", " ax.title.set_fontsize(15)\n", " ax.set_xlabel(\"RA\")\n", " ax.xaxis.label.set_fontsize(12)\n", " ax.set_ylabel(\"Dec\")\n", " ax.yaxis.label.set_fontsize(12)\n", " ax.grid(True)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vamos a probar la funci\u00f3n anterior haciendo una representaci\u00f3n centrada en $RA = 90^\\circ$ de unos pocos pares de coordenadas expresadas en grados y comprobando que se representan en la posici\u00f3n adecuada:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "coord = np.array([(0,30), (60,-45), (240,15), (150,-75)])\n", "plot_mwd(coord[:,0],coord[:,1], org=90, title = u'Test funci\u00f3n plot_mwd')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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PFxZrJ5KSCo4nJdnPnjwZ7XI67Rqd7mBeTs5ml9P5NzybxV/lnVkQwk0UZIIQYd4hx/oA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\nJ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k6HMUsZgH3WBHEbgL9TGCOEEFJI1ENGCCGEEFJgdHYKIYQQQkiBUSAjhBBCCCkwCmSE\nEEIIIQVGgYwQQgghpMAokBFCCCGEFBgFMkIIIYSQAqNARgghhBBSYP8BLbs4W0i0+coAAAAASUVO\nRK5CYII=\n", "text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finalmente vamos a representar un array de pares de coordenadas generadas de forma aleatoria" ] }, { "cell_type": "code", "collapsed": false, "input": [ "np.random.seed(0)\n", "nrand = np.random.rand(100,2) # Array (100,2) de valores aleatorios en [0,1)\n", "nrand *= np.array([360.,180.]) # array de valores en [0,360)x[0,180)\n", "nrand -=np.array([0.,90.]) # array de valores en [0,360)x[-90,90)\n", "nrand = nrand[(-86 < nrand[:,1]) & (nrand[:,1] < 86)] # Evitar Matplotlib Runtime Warning,\n", " # manteneniendonos lejos de las singularidades en -90\u00ba y 90\u00ba\n", "RA = nrand[:,0]\n", "Dec = nrand[:,1]\n", "plot_mwd(RA,Dec)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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imgC2MsaaiygVAEBE9WQy2UhDePjjNqu1Sf8hQ5z3jR6t7TVgQJmy4/tC7MqV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\n2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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "A t\u00edtulo de curiosidad, preguntemosnos como se ver\u00eda el plano de nuestra galaxia, es decir, la Via L\u00e1ctea, en un gr\u00e1fico de la esfera celeste en coordenadas ecuatoriales RA, Dec\n", "\n", "El plano gal\u00e1ctico es el que tiene coordenada de latitud b = 0 en el sistema de coordenadas gal\u00e1cticas. Vamos a generar un array de coordenadas gal\u00e1cticas de latitud 0 y lo convertiremos a coordenadas ecuatoriales con la librer\u00eda ephem." ] }, { "cell_type": "code", "collapsed": false, "input": [ "lon_array = np.arange(0,360)\n", "lat = 0.\n", "eq_array = np.zeros((360,2))\n", "for lon in lon_array:\n", " ga = ephem.Galactic(np.radians(lon), np.radians(lat))\n", " eq = ephem.Equatorial(ga)\n", " eq_array[lon] = np.degrees(eq.get())\n", "RA = eq_array[:,0]\n", "Dec = eq_array[:,1]\n", "plot_mwd(RA, Dec, 180, title = u'Plano gal\u00e1ctico en coordenadas ecuatoriales \\n (Proyecci\u00f3n de Mollweide)')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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VsmXFf6xZk5C7c2eq0+3ekZSU9FtRYeFib0nJCuA3tLKWY8yhBkPNMAqZwXCQ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\nAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Proyecci\u00f3n de Aitoff" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Otro sistema de proyecci\u00f3n con el que nos encontraremos en ocasiones y que es tambi\u00e9n utilizado en astronom\u00eda para representar una visi\u00f3n global de la esfera celeste, es la proyecci\u00f3n de **Aitoff**. Presenta un aspecto similar a la de Mollweide, pero, al contrario de esta, las l\u00edneas de igual latitud (paralelos) se representan por l\u00edneas curvas, y estas est\u00e1n regularmente espaciadas." ] }, { "cell_type": "code", "collapsed": false, "input": [ "r = 90\n", "theta = np.arange(0,2*np.pi,0.1)\n", "x = np.array([0,np.pi/3,np.pi/3,0,0])\n", "y = np.array([0,0,np.pi/4,np.pi/4,0])\n", "fig = plt.figure(figsize=(10, 5))\n", "ax = fig.add_subplot(111, projection=\"aitoff\", axisbg ='LightCyan')\n", "ax.grid(True)\n", "ax.plot(x,y)\n", "ax.plot(x+np.pi/6,y+np.pi/6)\n", "ax.plot(x-np.pi/2,y-np.pi/2);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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nz+3ItQeR+GLnWFT2qorZ/Vagkrr0jZ1LgtFoL6gtlUoRfvAgagcGuiVh42ns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\nyNsNHyml+OuPP/DchAmQSCRwOBwwm0zeq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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vamos a generar la imagen del plano gal\u00e1ctico en la proyecci\u00f3n de Aitoff" ] }, { "cell_type": "code", "collapsed": false, "input": [ "lon_array = np.arange(0,360)\n", "lat = 0.\n", "eq_array = np.zeros((360,2))\n", "for lon in lon_array:\n", " ga = ephem.Galactic(np.radians(lon), np.radians(lat))\n", " eq = ephem.Equatorial(ga)\n", " eq_array[lon] = np.degrees(eq.get())\n", "RA = eq_array[:,0]\n", "Dec = eq_array[:,1]\n", "plot_mwd(RA, Dec, 180, title = u'Plano gal\u00e1ctico en coordenadas ecuatoriales \\n (Proyecci\u00f3n de Aitoff)', projection='aitoff')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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v+/NPDu3blxATG5sZExe3Pd/hWJuTnb2OE1azPUopVyjOwWAIN4wCZggZlntx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\nCkYfsc2tK1fMdvwbyqkDB/SmXZgK3eIg7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Ic6jzckhDwkhFwjhBglE5xSmiyVSObKpNKa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\nAli2cmXGjnk1RIRTX32FfZ9/Tru2bpWP1NSYzBZLaygY/DgSD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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Y como ejemplo de uso de este sistema de proyecci\u00f3n, podemos comparar el mapa anterior con el mapa de cobertura de la release DR7 de datos del Sloan Digital Sky Survey (SDSS), que se puede consultar en [cobertura DR7 SDSS](http://www.sdss.org/DR7/), el cual se presenta en una proyecci\u00f3n de Aitoff centrada en $RA = 180^\\circ$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "HTML('')" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "" ], "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "En esta imagen se aprecia como la encuesta del SDSS evita la zona cercana al plano gal\u00e1ctico, en el cual se concentran la mayor\u00eda de las estrellas de nuestra galaxia. Es natural, ya que el objeto principal del SDSS es la fotometr\u00eda de los objetos extragal\u00e1cticos." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "La proyecci\u00f3n de Mollweide conserva las \u00e1reas" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Una propiedad caracter\u00edstica de la proyecci\u00f3n de Mollweide, que la hace especialmente \u00fatil para representar la distribuci\u00f3n global de objetos o magnitudes en la esfera celeste y hacerse una idea de su densidad, es que si bien no conserva formas ni \u00e1ngulos, si conserva las \u00e1reas. es decir, \u00e1reas iguales en el globo celeste se representan mediante \u00e1reas iguales en la proyecci\u00f3n de Mollweide. La proyecci\u00f3n de Aitoff no tiene esta propiedad.\n", "\n", "Para comprobar visualmente este hecho, vamos a representar una serie de rect\u00e1ngulos de igual \u00e1rea. Por rect\u00e1ngulos entenderemos en este caso \u00e1reas delimitadas entre dos meridianos y dos parelelos celestes. Vamos a proceder del siguiente modo:\n", "\n", "En primer lugar, llamando theta al arco de meridiano que delimita la extensi\u00f3n de un casquete esf\u00e9rico centrado en el polo Norte celeste, utilizaremos el hecho de que el \u00e1rea de dicho casquete es proporcional a 1-cos(theta). Este hecho se deriva de la f\u00f3rmula de c\u00e1lculo del \u00e1rea de un [casquete esf\u00e9rico](http://es.wikipedia.org/wiki/Casquete_esf%C3%A9rico), junto con un poco de trigonometr\u00eda elemental.\n", "\n", "Este hecho lo utilizaremos para establecer una serie de valores del \u00e1ngulo de declinaci\u00f3n *dec* que se\u00f1alan paralelos tales que el \u00e1rea comprendida entre estos paralelos es la misma en todos los casos (esto implica en particular que los paralelos en cuesti\u00f3n no ser\u00e1n equidistantes)\n", "\n", "Finalmente subdividiremos estas \u00e1reas en rect\u00e1ngulos delimitados por meridianos espaciados entre s\u00ed pi/6 (30 grados). Las regiones rectangulares resultantes tendr\u00e1n todas el mismo \u00e1rea.\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "theta_1 = 30./180 * np.pi # 15 grados expresados en radianes" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "# Creamos un array con valores de theta (\u00e1ngulo medido desde el polo N)\n", "# Que delimitan regiones entre paralelos celestes de igual \u00e1rea\n", "theta_a = np.zeros(7)\n", "for n in range(0,7):\n", " theta_n = np.arccos(n*np.cos(theta_1)-n+1)\n", " theta_a[n] = theta_n\n", "theta_a" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "array([ 0. , 0.52359878, 0.74946887, 0.92969779, 1.08817621,\n", " 1.23435819, 1.37336376])" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "# Los convertimos a valores de declinaciones\n", "# medidas desde el ecuador celeste\n", "dec_a = np.pi/2 - theta_a\n", "dec_a" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "array([ 1.57079633, 1.04719755, 0.82132746, 0.64109854, 0.48262011,\n", " 0.33643813, 0.19743257])" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "# Y finalmente representamos 6 regiones rectangulares de igual \u00e1rea\n", "\n", "fig = plt.figure(figsize=(10, 5))\n", "ax = fig.add_subplot(111, projection=\"mollweide\", axisbg ='LightCyan')\n", "ax.set_title(u'Ejemplo de \u00e1reas iguales \\n (proyecci\u00f3n de Mollweide)')\n", "ax.grid(True)\n", "\n", "for n in range(6):\n", " rec_n = np.array([(n* np.pi/6, dec_a[n+1]),\n", " ((n +1) * np.pi/6, dec_a[n+1]),\n", " ((n +1) * np.pi/6, dec_a[n]),\n", " (n* np.pi/6, dec_a[n]),\n", " (n* np.pi/6, dec_a[n+1])])\n", " x = rec_n[:,0]\n", " y = rec_n[:,1]\n", " ax.plot(x,y)\n", " " ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Rm9aswb9Ll+ZEr1oFp9OZoyFamZ2VtRjAvyK/SnAzCCNVApCnsX4C0AgAA3gM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\nlQsXcGj3b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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "En la figura anterior se v\u00e9 como la altura de los rect\u00e1ngulos en la representaci\u00f3n de Mollweide se va estrechando para compensar el aumento de anchura a medida que nos acercamos al ecuador celeste, con el fin de que las \u00e1reas de todas las regiones sean identicas entre s\u00ed en la representaci\u00f3n gr\u00e1fica, al igual que lo son en la realidad." ] } ], "metadata": {} } ] }