Skip to content

Instantly share code, notes, and snippets.

@Magnus167
Created May 8, 2022 02:39
Show Gist options
  • Save Magnus167/8fe3ee56369300d32858cc2928c9ce0b to your computer and use it in GitHub Desktop.
Save Magnus167/8fe3ee56369300d32858cc2928c9ce0b to your computer and use it in GitHub Desktop.
Python Notebook for generating images of the mandelbrot set
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from math import log, log2\n",
"\n",
"MAX_ITER = 100\n",
"\n",
"def mandelbrot(c):\n",
" z = 0\n",
" n = 0\n",
" while abs(z) <= 2 and n < MAX_ITER:\n",
" z = z*z + c\n",
" n += 1\n",
"\n",
" if n == MAX_ITER:\n",
" return MAX_ITER\n",
" \n",
" return n + 1 - log(log2(abs(z)))"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"from PIL import Image, ImageDraw\n",
"# from mandelbrot import mandelbrot, MAX_ITER\n",
"\n",
"# Image size (pixels)\n",
"WIDTH = 1024\n",
"HEIGHT = 720\n",
"\n",
"# Plot window\n",
"RE_START = -2\n",
"RE_END = 1\n",
"IM_START = -1\n",
"IM_END = 1\n",
"\n",
"im = Image.new('HSV', (WIDTH, HEIGHT), (0, 0, 0))\n",
"draw = ImageDraw.Draw(im)\n",
"\n",
"for x in range(0, WIDTH):\n",
" for y in range(0, HEIGHT):\n",
" # Convert pixel coordinate to complex number\n",
" c = complex(RE_START + (x / WIDTH) * (RE_END - RE_START),\n",
" IM_START + (y / HEIGHT) * (IM_END - IM_START))\n",
" # Compute the number of iterations\n",
" m = mandelbrot(c)\n",
" # The color depends on the number of iterations\n",
" hue = int(255 * m / MAX_ITER)\n",
" saturation = 255\n",
" value = 255 if m < MAX_ITER else 0\n",
" # Plot the point\n",
" draw.point([x, y], (hue, saturation, value))\n",
"\n",
"im.convert('RGB').save('output.png', 'PNG')\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x240e7aaa490>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"plt.imshow(im)"
]
}
],
"metadata": {
"interpreter": {
"hash": "331c800bb3b0835843cf480111646c20992cc2986aba76b7f2df43575efaca89"
},
"kernelspec": {
"display_name": "Python 3.9.7 ('yr3Proj')",
"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": "3.9.7"
},
"orig_nbformat": 4
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment