Files
jupyter-collection/scientific-computing-2/auto_examples_jupyter_2/plot_pie.ipynb
2025-10-21 11:20:44 +08:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"# Pie chart\n",
"\n",
"A simple pie chart example with matplotlib.\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"n = 20\n",
"Z = np.ones(n)\n",
"Z[-1] *= 2\n",
"\n",
"plt.axes((0.025, 0.025, 0.95, 0.95))\n",
"\n",
"plt.pie(Z, explode=Z * 0.05, colors=[f\"{i / float(n):f}\" for i in range(n)])\n",
"plt.axis(\"equal\")\n",
"plt.xticks([])\n",
"plt.yticks()\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"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": "3.12.11"
}
},
"nbformat": 4,
"nbformat_minor": 4
}