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Created October 27, 2013 20:06
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Piet Mondrian in Python
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{
"metadata": {
"name": "mondrian"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": "%pylab inline\nplt.xkcd()\nfrom itertools import cycle\nfig = plt.figure(figsize=(16, 12))\nax = plt.subplot(111)\nax.axis('off')\n\nWHITE = '#f2f2e9'\npietColors = cycle([WHITE, '#bf0000', WHITE, '#0500ef', WHITE, '#fff700',])\n\ndef rectangle(xy, wh):\n ax.add_patch(Rectangle(xy, *wh, fc=pietColors.next() if min(wh)<0.1 or np.product(wh)<0.2 else WHITE, ec='k', lw=10))\n\nswap = lambda x, y, flag: (y, x) if flag else (x, y)\n\ndef piet(xy=(0., 0.), wh=(1., 1.), depth=0, d=0):\n if depth < 1 or (np.random.random() > 0.2 and depth < 4):\n r = min(max(np.random.normal(0.5, 0.2), 0.2), 0.8)\n [piet(swap(xy[d]+k*wh[d]*r, xy[1-d], d), swap(wh[d]*(r+(1-2*r)*k), wh[1-d], d), depth+1, 1-d) for k in range(2)]\n else:\n rectangle(xy, wh)\n\nnp.random.seed(8)\npiet()",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Populating the interactive namespace from numpy and matplotlib\n"
},
{
"metadata": {},
"output_type": "display_data",
"png": 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329NwOFS/P9gnXkEw2SZjE81mM83nc0VRpMViqdVqpdVqpfV6/cm/teM4kj6+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\nAAAAAElFTkSuQmCC\n",
"text": "<matplotlib.figure.Figure at 0x5b135d0>"
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": "",
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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