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@csferrie
Last active November 17, 2024 00:11
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#PieGate
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"authorship_tag": "ABX9TyNFmlvKZxtT16Ft+4zsEOc2",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
},
"widgets": {
"application/vnd.jupyter.widget-state+json": {
"be55891b6ad14fadac5f3e5900b73c6d": {
"model_module": "@jupyter-widgets/controls",
"model_name": "VBoxModel",
"model_module_version": "1.5.0",
"state": {
"_dom_classes": [
"widget-interact"
],
"_model_module": "@jupyter-widgets/controls",
"_model_module_version": "1.5.0",
"_model_name": "VBoxModel",
"_view_count": null,
"_view_module": "@jupyter-widgets/controls",
"_view_module_version": "1.5.0",
"_view_name": "VBoxView",
"box_style": "",
"children": [
"IPY_MODEL_a9d0638274f84fec9ce6ed7f47f5b373",
"IPY_MODEL_2ead5bc1a9ed425e8db9a3d73b12890b",
"IPY_MODEL_b740c136d7d4483882099f6347a3488b"
],
"layout": "IPY_MODEL_1d81a128b8244435a469432473a1b10f"
}
},
"a9d0638274f84fec9ce6ed7f47f5b373": {
"model_module": "@jupyter-widgets/controls",
"model_name": "FloatSliderModel",
"model_module_version": "1.5.0",
"state": {
"_dom_classes": [],
"_model_module": "@jupyter-widgets/controls",
"_model_module_version": "1.5.0",
"_model_name": "FloatSliderModel",
"_view_count": null,
"_view_module": "@jupyter-widgets/controls",
"_view_module_version": "1.5.0",
"_view_name": "FloatSliderView",
"continuous_update": true,
"description": "x",
"description_tooltip": null,
"disabled": false,
"layout": "IPY_MODEL_27c46dd7220149789754afdd884032fe",
"max": 1,
"min": -1,
"orientation": "horizontal",
"readout": true,
"readout_format": ".2f",
"step": 0.01,
"style": "IPY_MODEL_baa92e6ea56d47d2bb39b677e247b999",
"value": 0.44
}
},
"2ead5bc1a9ed425e8db9a3d73b12890b": {
"model_module": "@jupyter-widgets/controls",
"model_name": "FloatSliderModel",
"model_module_version": "1.5.0",
"state": {
"_dom_classes": [],
"_model_module": "@jupyter-widgets/controls",
"_model_module_version": "1.5.0",
"_model_name": "FloatSliderModel",
"_view_count": null,
"_view_module": "@jupyter-widgets/controls",
"_view_module_version": "1.5.0",
"_view_name": "FloatSliderView",
"continuous_update": true,
"description": "r",
"description_tooltip": null,
"disabled": false,
"layout": "IPY_MODEL_3d6c8eb463b4444f855426bb91d6b960",
"max": 1,
"min": 0,
"orientation": "horizontal",
"readout": true,
"readout_format": ".2f",
"step": 0.01,
"style": "IPY_MODEL_ba1966667d65410c9ff0eadb4dcde035",
"value": 0.18888888888888888
}
},
"b740c136d7d4483882099f6347a3488b": {
"model_module": "@jupyter-widgets/output",
"model_name": "OutputModel",
"model_module_version": "1.0.0",
"state": {
"_dom_classes": [],
"_model_module": "@jupyter-widgets/output",
"_model_module_version": "1.0.0",
"_model_name": "OutputModel",
"_view_count": null,
"_view_module": "@jupyter-widgets/output",
"_view_module_version": "1.0.0",
"_view_name": "OutputView",
"layout": "IPY_MODEL_b245f44df171431fafe051895e2f48dc",
"msg_id": "",
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 1600x700 with 3 Axes>",
"image/png": 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"bottom": null,
"display": null,
"flex": null,
"flex_flow": null,
"grid_area": null,
"grid_auto_columns": null,
"grid_auto_flow": null,
"grid_auto_rows": null,
"grid_column": null,
"grid_gap": null,
"grid_row": null,
"grid_template_areas": null,
"grid_template_columns": null,
"grid_template_rows": null,
"height": null,
"justify_content": null,
"justify_items": null,
"left": null,
"margin": null,
"max_height": null,
"max_width": null,
"min_height": null,
"min_width": null,
"object_fit": null,
"object_position": null,
"order": null,
"overflow": null,
"overflow_x": null,
"overflow_y": null,
"padding": null,
"right": null,
"top": null,
"visibility": null,
"width": null
}
}
}
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/csferrie/fe3abbeb822b1b11314ba0117b6a4d46/-piegate.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"source": [
"\\#piegate\n",
"\n",
"https://csferrie.medium.com/0312b56efe5c"
],
"metadata": {
"id": "L2qzJcvzbEcr"
}
},
{
"cell_type": "code",
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from ipywidgets import interact, FloatSlider\n",
"%matplotlib inline"
],
"metadata": {
"id": "W4Kj3EHobC9n"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 547
},
"id": "ut07kdFM7M7R",
"outputId": "ffb6df7e-9c51-4ac1-a79f-7b96cc553d8a"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1000x600 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"# Define the function\n",
"def func(x, r):\n",
" theta = r*2*np.pi\n",
" return ((1/2) * theta + x * np.sin(theta / 2))/np.pi\n",
"\n",
"# Redefine the ranges for x and theta\n",
"x = np.linspace(-1, 1, 500)\n",
"r = np.linspace(0, 1, 500)\n",
"X, R = np.meshgrid(x, r)\n",
"\n",
"# Recalculate the function values\n",
"Z = func(X, R)\n",
"\n",
"# Set up the plot with shading\n",
"plt.figure(figsize=(10, 6))\n",
"contour_filled = plt.contourf(X, R, Z, levels=50, cmap='viridis', alpha=0.8)\n",
"contour = plt.contour(X, R, Z, levels=[1 / 4], colors='black', linestyles='--')\n",
"plt.clabel(contour, inline=True, fontsize=20, fmt=r'$\\frac{1}{4}$')\n",
"\n",
"# Add a color bar for reference\n",
"plt.colorbar(contour_filled, label='Ratio of pie')\n",
"\n",
"# Add labels and title\n",
"plt.xlabel('Start of cut (unitless distance from center)')\n",
"plt.ylabel('Angle of slice (as ratio of full circle)')\n",
"\n",
"\n",
"# Show the plot\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"source": [
"# Define the function\n",
"def func(x, r):\n",
" theta = r*2*np.pi\n",
" return ((1/2) * theta + x * np.sin(theta / 2))/np.pi\n",
"\n",
"# Redefine the ranges for x and theta\n",
"x = np.linspace(-1, 1, 500)\n",
"r = np.linspace(0, 1, 500)\n",
"X, R = np.meshgrid(x, r)\n",
"\n",
"# Recalculate the function values\n",
"Z = func(X, R)\n",
"\n",
"# Set up the plot with shading\n",
"plt.figure(figsize=(10, 6))\n",
"contour_filled = plt.contourf(X, R, Z, levels=50, cmap='viridis', alpha=0.8)\n",
"contour = plt.contour(X, R, Z, levels=[1 / 4], colors='black', linestyles='--')\n",
"plt.clabel(contour, inline=True, fontsize=20, fmt=r'$\\frac{1}{4}$')\n",
"\n",
"plt.scatter(0.44, 68/360, color='red', marker='*', s=300)\n",
"\n",
"# Add a color bar for reference\n",
"plt.colorbar(contour_filled, label='Ratio of pie')\n",
"\n",
"# Add labels and title\n",
"plt.xlabel('Start of cut (unitless distance from center)')\n",
"plt.ylabel('Angle of slice (as ratio of full circle)')\n",
"\n",
"\n",
"# Show the plot\n",
"plt.show()\n"
],
"metadata": {
"id": "cbjtHve67qpW",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 547
},
"outputId": "ca829ac0-e8c3-47ff-9c37-0113385b93ff"
},
"execution_count": 6,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1000x600 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"# Define the function\n",
"def func(x, r):\n",
" theta = r*2*np.pi\n",
" return ((1/2) * theta + x * np.sin(theta / 2))/np.pi\n",
"\n",
"# Redefine the ranges for x and theta\n",
"x = np.linspace(-1, 1, 500)\n",
"r = np.linspace(0, 1, 500)\n",
"X, R = np.meshgrid(x, r)\n",
"\n",
"# Recalculate the function values\n",
"Z = func(X, R)\n",
"\n",
"# Set up the plot with shading\n",
"plt.figure(figsize=(10, 6))\n",
"contour_filled = plt.contourf(X, R, Z, levels=50, cmap='viridis', alpha=0.8)\n",
"contour = plt.contour(X, R, Z, levels=[1 / 4], colors='black', linestyles='--')\n",
"plt.clabel(contour, inline=True, fontsize=20, fmt=r'$\\frac{1}{4}$')\n",
"\n",
"plt.scatter(0, 90/360, color='limegreen', marker='*', s=300)\n",
"\n",
"# Add a color bar for reference\n",
"plt.colorbar(contour_filled, label='Ratio of pie')\n",
"\n",
"# Add labels and title\n",
"plt.xlabel('Start of cut (unitless distance from center)')\n",
"plt.ylabel('Angle of slice (as ratio of full circle)')\n",
"\n",
"# Show the plot\n",
"plt.show()\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 547
},
"id": "H-td2mtCQwal",
"outputId": "92e34953-574b-4de8-a9d2-254fd3b15c7f"
},
"execution_count": 2,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1000x600 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"# Define the function\n",
"def func(x, r):\n",
" theta = r * 2 * np.pi\n",
" return ((1/2) * theta + x * np.sin(theta / 2)) / np.pi\n",
"\n",
"# Define the interactive plotting function\n",
"def update_plot(x_value, r_value):\n",
" x = np.linspace(-1, 1, 500)\n",
" r = np.linspace(0, 1, 500)\n",
" X, R = np.meshgrid(x, r)\n",
" Z = func(X, R)\n",
"\n",
" # Create figure with two subplots\n",
" fig, ax = plt.subplots(1, 2, figsize=(16,7))\n",
"\n",
" # First subplot: contour plot with point (x_value, r_value)\n",
" contour_filled = ax[0].contourf(X, R, Z, levels=50, cmap='viridis', alpha=0.8)\n",
" contour = ax[0].contour(X, R, Z, levels=[1 / 4], colors='black', linestyles='--')\n",
" ax[0].clabel(contour, inline=True, fontsize=14, fmt=r'$\\frac{1}{4}$')\n",
" ax[0].scatter(x_value, r_value, color='red', marker='*', s=200, label=f'Point (x={x_value:.2f}, r={r_value:.2f})')\n",
" ax[0].set_xlabel('Start of cut (unitless distance from center)')\n",
" ax[0].set_ylabel('Angle of slice (as ratio of full circle)')\n",
" fig.colorbar(contour_filled, ax=ax[0], label='Ratio of pie')\n",
"\n",
" # Second subplot: diagram of the situation\n",
" theta = r_value * 2 * np.pi\n",
" theta_center = 3 * np.pi / 2 # Negative vertical axis\n",
" theta1 = theta_center - theta / 2\n",
" theta2 = theta_center + theta / 2\n",
" t = np.linspace(theta1, theta2, 100)\n",
" x_sector = np.cos(t)\n",
" y_sector = np.sin(t)\n",
"\n",
" # Coordinates for filling the sector area\n",
" x_fill_sector = np.concatenate(([0], x_sector, [0]))\n",
" y_fill_sector = np.concatenate(([0], y_sector, [0]))\n",
" ax[1].fill(x_fill_sector, y_fill_sector, color='lightblue', alpha=0.5, label='Sector')\n",
"\n",
" # Coordinates for the triangles\n",
" x1 = np.cos(theta1)\n",
" y1 = np.sin(theta1)\n",
" x2 = np.cos(theta2)\n",
" y2 = np.sin(theta2)\n",
"\n",
" # Triangle 1\n",
" x_triangle1 = [0, x1, 0]\n",
" y_triangle1 = [0, y1, x_value]\n",
" ax[1].fill(x_triangle1, y_triangle1, color='lightgreen', alpha=0.5, label='Triangle 1')\n",
"\n",
" # Triangle 2\n",
" x_triangle2 = [0, x2, 0]\n",
" y_triangle2 = [0, y2, x_value]\n",
" ax[1].fill(x_triangle2, y_triangle2, color='lightgreen', alpha=0.5, label='Triangle 2')\n",
"\n",
" # Plot the circle\n",
" circle = plt.Circle((0, 0), 1, color='black', fill=False)\n",
" ax[1].add_artist(circle)\n",
"\n",
" # Plot the point at (0, x_value)\n",
" ax[1].plot(0, x_value, 'ro', label='Cut start (x)')\n",
"\n",
" # Plot lines from (0, x_value) to (x1, y1) and (x2, y2)\n",
" ax[1].plot([0, x1], [x_value, y1], 'k-')\n",
" ax[1].plot([0, x2], [x_value, y2], 'k-')\n",
"\n",
" # Plot the sector edges\n",
" ax[1].plot([0, x1], [0, y1], 'k-')\n",
" ax[1].plot([0, x2], [0, y2], 'k-')\n",
"\n",
" # Plot line from center to cut start\n",
" ax[1].plot([0, 0], [0, x_value], 'k-')\n",
"\n",
" # Set aspect ratio and limits\n",
" ax[1].set_aspect('equal', adjustable='box')\n",
" ax[1].set_xlim(-1.1, 1.1)\n",
" ax[1].set_ylim(-1.1, 1.1)\n",
" ax[1].axis('off')\n",
" plt.show()\n",
"\n",
"# Create interactive sliders for x and r\n",
"interact(update_plot,\n",
" x_value=FloatSlider(min=-1, max=1, step=0.01, value=0.44, description='x'),\n",
" r_value=FloatSlider(min=0, max=1, step=0.01, value=68/360, description='r'));\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 688,
"referenced_widgets": [
"be55891b6ad14fadac5f3e5900b73c6d",
"a9d0638274f84fec9ce6ed7f47f5b373",
"2ead5bc1a9ed425e8db9a3d73b12890b",
"b740c136d7d4483882099f6347a3488b",
"1d81a128b8244435a469432473a1b10f",
"27c46dd7220149789754afdd884032fe",
"baa92e6ea56d47d2bb39b677e247b999",
"3d6c8eb463b4444f855426bb91d6b960",
"ba1966667d65410c9ff0eadb4dcde035",
"b245f44df171431fafe051895e2f48dc"
]
},
"id": "T_AewfYPGqQ5",
"outputId": "5f25517e-3532-4a78-fc24-4eeb42d85679"
},
"execution_count": 16,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"interactive(children=(FloatSlider(value=0.44, description='x', max=1.0, min=-1.0, step=0.01), FloatSlider(valu…"
],
"application/vnd.jupyter.widget-view+json": {
"version_major": 2,
"version_minor": 0,
"model_id": "be55891b6ad14fadac5f3e5900b73c6d"
}
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [],
"metadata": {
"id": "xvcx8PGCNe4U"
},
"execution_count": null,
"outputs": []
}
]
}
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