{"cells": [{"cell_type": "markdown", "metadata": {}, "source": ["# Tracer une pyramide bigarr\u00e9e\n", "\n", "Ce notebook est la r\u00e9ponse \u00e0 l'exercice propos\u00e9 lors de l'article de blog qui consiste \u00e0 afficher des boules de trois couleurs diff\u00e9rentes de sorte qu'aucune boule n'est de voisine de la m\u00eame couleur : [tracer une pyramide bigarr\u00e9e](http://www.xavierdupre.fr/app/actuariat_python/helpsphinx/blog/2017/2017-04-18-seance4.html)."]}, {"cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [{"data": {"text/html": ["
run previous cell, wait for 2 seconds
\n", ""], "text/plain": [""]}, "execution_count": 2, "metadata": {}, "output_type": "execute_result"}], "source": ["from jyquickhelper import add_notebook_menu\n", "add_notebook_menu()"]}, {"cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": ["%matplotlib inline"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Probl\u00e8me\n", "\n", "Il s'agit de dessiner la pyramide suivante \u00e0 l'aide de [matplotlib](https://matplotlib.org/)."]}, {"cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": [""]}, "execution_count": 4, "metadata": {}, "output_type": "execute_result"}], "source": ["from IPython.display import Image\n", "Image(\"http://lesenfantscodaient.fr/_images/biodiversite_tri2.png\")"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Id\u00e9e de la solution\n", "\n", "On s\u00e9pare le probl\u00e8me en deux plus petits : \n", "\n", "* Trouver la position des boules dans un rep\u00e8re cart\u00e9sien.\n", "* Choisir la bonne couleur.\n", "\n", "Le rep\u00e8re est hexagonal. L'image suivante est tir\u00e9e de la page wikip\u00e9dia [empilement compact](https://fr.wikipedia.org/wiki/Empilement_compact)."]}, {"cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["c:\\Python363_x64\\lib\\site-packages\\sphinx\\util\\compat.py:40: RemovedInSphinx17Warning: sphinx.util.compat.Directive is deprecated and will be removed in Sphinx 1.7, please use docutils' instead.\n", " RemovedInSphinx17Warning)\n"]}, {"data": {"image/png": 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\n", "text/plain": [""]}, "execution_count": 5, "metadata": {}, "output_type": "execute_result"}], "source": ["from pyquickhelper.helpgen import NbImage\n", "NbImage(\"data/hexa.png\")"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Mais dans un premier temps, il faut un moyen de rep\u00e9rer chaque boule. On les num\u00e9rote avec deux indices."]}, {"cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": [""]}, "execution_count": 6, "metadata": {}, "output_type": "execute_result"}], "source": ["Image(\"http://lesenfantscodaient.fr/_images/pyramide_num2.png\")"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Les coordonn\u00e9es\n", "\n", "On prend comme exemple [scatter_demo.py](https://matplotlib.org/examples/shapes_and_collections/scatter_demo.html) sur le site de matplotlib."]}, {"cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [{"data": {"text/plain": [""]}, "execution_count": 7, "metadata": {}, "output_type": "execute_result"}, {"data": {"image/png": 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LYDB8fBKCR5buWn/FirY2Hml9vvDxSTWtPVqstmYtLTxWpqTQLxkPl0t1NY/3CQl8DoMG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\nEbLDAAAAAElFTkSuQmCC\n", "text/plain": [""]}, "metadata": {}, "output_type": "display_data"}], "source": ["import matplotlib.pyplot as plt\n", "\n", "fig, ax = plt.subplots(1,1)\n", "n = 10\n", "x = []\n", "y = []\n", "for i in range(1,n+1):\n", " for j in range(i, n+1):\n", " x.append(i)\n", " y.append(j)\n", "size = [300 for c in x]\n", "colors = [\"r\" for c in x]\n", "ax.scatter(x, y, s=size, c=colors, alpha=0.5)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["On inverse."]}, {"cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [{"data": {"text/plain": [""]}, "execution_count": 8, "metadata": {}, "output_type": "execute_result"}, {"data": {"image/png": 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Zy8fJjB2/H3jiCZ4uiovZoK6j6wcCvF+5ucCPf8zTh8Fg0KZ/Bm2l5ADxtWuBUaM47rAz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\n", "text/plain": [""]}, "metadata": {}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1,1)\n", "n = 10\n", "x = []\n", "y = []\n", "for i in range(1,n+1):\n", " for j in range(i, n+1):\n", " x.append(i)\n", " y.append(-j)\n", "size = [300 for c in x]\n", "colors = [\"r\" for c in x]\n", "ax.scatter(x, y, s=size, c=colors, alpha=0.5)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["On d\u00e9cale."]}, {"cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [{"data": {"text/plain": [""]}, "execution_count": 9, "metadata": {}, "output_type": "execute_result"}, {"data": {"image/png": 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BNhX3eJh921k0j5Rc5dbVsSTDsmV6dx1SMqTz5ZcZTVNY2PmkEgrxWgSDwG23MQJJJ42N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\n", "text/plain": [""]}, "metadata": {}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1,1)\n", "n = 10\n", "x = []\n", "y = []\n", "for i in range(1,n+1):\n", " for j in range(i, n+1):\n", " x.append(i - j*0.5)\n", " y.append(-j)\n", "size = [300 for c in x]\n", "colors = [\"r\" for c in x]\n", "ax.scatter(x, y, s=size, c=colors, alpha=0.5)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Cela ressemble \u00e0 de l'hexagonal mais ce n'est pas encore tout \u00e0 fait cela. La hauteur d'un triangle \u00e9quilat\u00e9ral de c\u00f4t\u00e9 un est $\\frac{\\sqrt{3}}{2}$. Ca tombe bien car dans l'exemple pr\u00e9c\u00e9dente, le c\u00f4t\u00e9 de chaque triangle est 1. Et on change la dimension du graphe trac\u00e9 avec *matplotlib* pour \u00e9viter de r\u00e9duire nos effort \u00e0 n\u00e9ant."]}, {"cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [{"data": {"text/plain": [""]}, "execution_count": 10, "metadata": {}, "output_type": "execute_result"}, {"data": {"image/png": 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kqbYfWVn8bB9/zFU12eLx9tskhVGjUk8aIbjPV1JsyRK0qqtJCiUliSciRigs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\nRU5ErkJggg==\n", "text/plain": [""]}, "metadata": {}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1,1, figsize=(4, 4*(3**0.5)/2))\n", "n = 10\n", "x = []\n", "y = []\n", "for i in range(1,n+1):\n", " for j in range(i, n+1):\n", " x.append(i - j*0.5)\n", " y.append(-j*(3**0.5)/2)\n", "size = [300 for c in x]\n", "colors = [\"r\" for c in x]\n", "ax.scatter(x, y, s=size, c=colors, alpha=0.5)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## La couleur\n", "\n", "Je vous laisse retourner sur les deux premi\u00e8res images et observer la couleur de toutes les boules qui v\u00e9rifient ``(i+j)%3 == 1``."]}, {"cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [{"data": {"text/plain": [""]}, "execution_count": 11, "metadata": {}, "output_type": "execute_result"}, {"data": {"image/png": 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2WSKKyckh38PQ9SN2rXM6SRmsXEmEKSkRiQD/+7+Ue20ykSziaZf8fjJZGAPu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\n", "text/plain": [""]}, "metadata": {}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1,1, figsize=(4, 4*(3**0.5)/2))\n", "n = 10\n", "x = []\n", "y = []\n", "colors = []\n", "trois = \"rgb\"\n", "for i in range(1,n+1):\n", " for j in range(i, n+1):\n", " x.append(i - j*0.5)\n", " y.append(-j*(3**0.5)/2)\n", " colors.append(trois[(i+j) % 3])\n", "size = [300 for c in x]\n", "ax.scatter(x, y, s=size, c=colors, alpha=0.5)"]}, {"cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": []}], "metadata": {"kernelspec": {"display_name": "Python 3", "language": "python", "name": "python3"}, "language_info": {"codemirror_mode": {"name": "ipython", "version": 3}, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.3"}}, "nbformat": 4, "nbformat_minor": 2}