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@TheDataLeek
Last active August 29, 2015 14:00
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A Simple Mandelbrot Set Generator
{
"metadata": {
"name": "",
"signature": "sha256:f55f6c39d0553372356143e3f1c9009717f5c32352916730d9ce295484ed3bbe"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"max_iterations = 50\n",
"width = height = 200\n",
"dim = {'x_lower':-2.5,\n",
" 'x_upper':1,\n",
" 'y_lower':-1,\n",
" 'y_upper':1}\n",
"\n",
"colors = np.zeros((width, height))\n",
"for px in range(width):\n",
" x0 = (((dim['x_upper'] - dim['x_lower']) * px)/width) - 2.5\n",
" for py in range(height):\n",
" y0 = (((dim['y_upper'] - dim['y_lower']) * py)/height) - 1\n",
" x = y = iteration = 0\n",
" while (x**2 + y**2 < 4 and iteration < max_iterations):\n",
" xtmp = x**2 - y**2 + x0\n",
" y = 2 * x * y + y0\n",
" x = xtmp\n",
" iteration += 1\n",
" if iteration < max_iterations:\n",
" iteration += 1 - np.log(np.log(np.sqrt(x**2 + y**2)) /\n",
" np.log(2) ) / np.log(2)\n",
" colors[py][px] = iteration\n",
"plt.imshow(colors)\n",
"plt.imsave('Mandelbrot.png', colors)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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VINFIHg+JDHvJjPTxuNZKFNfT45GAnNiiu/nUfDISRlqmkxH91XL0iTNWbVGq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\n6IBU3/0DGWcAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7f3daa653f98>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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