96 lines
99 KiB
Plaintext
96 lines
99 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 5,
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"id": "46fd7c01-0b30-4354-a8b8-164d58601bb1",
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"metadata": {},
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"outputs": [],
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"source": [
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"import pandas as pd\n",
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"import numpy as np\n",
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"import matplotlib as plt\n",
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"import matplotlib.pyplot as pyplt"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"id": "d2dfe3d2-0b09-4d13-a98c-25f75dc10ea9",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Define the properties of the Mandelbrot set\n",
|
|
"width, height = 800, 800\n",
|
|
"xmin, xmax = -2.0, 1.0\n",
|
|
"ymin, ymax = -1.5, 1.5\n",
|
|
"max_iter = 600\n",
|
|
"\n",
|
|
"# Create an empty image with a white background\n",
|
|
"img = np.zeros((width, height, 3), dtype=np.uint8)\n",
|
|
"\n",
|
|
"# Generate the Mandelbrot set\n",
|
|
"for x in range(width):\n",
|
|
" for y in range(height):\n",
|
|
" zx, zy = (\n",
|
|
" x * (xmax - xmin) / (width - 1) + xmin,\n",
|
|
" y * (ymax - ymin) / (height - 1) + ymin,\n",
|
|
" )\n",
|
|
" c = zx + zy * 1j\n",
|
|
" z = c\n",
|
|
" for i in range(max_iter):\n",
|
|
" if abs(z) > 2.0:\n",
|
|
" break\n",
|
|
" z = z * z + c\n",
|
|
" # Assign color based on the number of iterations\n",
|
|
" r, g, b = i % 8 * 32, i % 16 * 16, i % 32 * 8\n",
|
|
" img[x, y] = (r, g, b)\n",
|
|
"\n",
|
|
"# Display the Mandelbrot set\n",
|
|
"pyplt.imshow(img)\n",
|
|
"pyplt.show()\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "5d8cc523-4f0b-4af5-9ea3-313e1ca625a3",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"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": "3.10.12"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|