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@cjb230
Created August 24, 2020 00:52
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import math\n",
"import pandas as pd\n",
"import numpy as np\n",
"\n",
"\n",
"min_n = 3\n",
"index = range(3, 1000)\n",
"columns = range(333, 0, -1)\n",
"answers = pd.DataFrame(columns=columns, index=index)\n",
"for kk in range(333, 0, -1):\n",
" k = kk / 1000\n",
" max_n = math.floor(1 / k)\n",
" for n in range(min_n, max_n+1):\n",
" perimeter = 1 - (n * k)\n",
" side_length = perimeter / n\n",
" tan_ratio = math.tan(math.pi / n)\n",
" total_area = 0.25 * n * side_length * side_length / tan_ratio\n",
" answers.at[n, kk] = total_area\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f0aa7ec6c90>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"n3 = answers.loc[3]\n",
"n4 = answers.loc[4]\n",
"n5 = answers.loc[5]\n",
"n6 = answers.loc[6]\n",
"n7 = answers.loc[7]\n",
"n8 = answers.loc[8]\n",
"\n",
"plt.figure(figsize=(10,8))\n",
"plt.ylim(0, n8.max())\n",
"plt.xlim(333, 0)\n",
"plt.ylabel('Enclosed area / m^2')\n",
"plt.xlabel('Post weight k / grammes')\n",
"plt.title('Weight of Individual Posts vs Enclosed Area')\n",
"plt.plot(n3, label='3 posts')\n",
"plt.plot(n4, label='4 posts')\n",
"plt.plot(n5, label='5 posts')\n",
"plt.plot(n6, label='6 posts')\n",
"plt.plot(n7, label='7 posts')\n",
"plt.plot(n8, label='8 posts')\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f0aa7de6890>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,8))\n",
"plt.ylim(0.02, 0.08)\n",
"plt.xlim(100, 0)\n",
"plt.ylabel('Enclosed area / m^2')\n",
"plt.xlabel('Post weight k / grammes')\n",
"plt.title('Weight of Individual Posts vs Enclosed Area, Zoomed')\n",
"plt.plot(n3, label='3 posts')\n",
"plt.plot(n4, label='4 posts')\n",
"plt.plot(n5, label='5 posts')\n",
"plt.plot(n6, label='6 posts')\n",
"plt.plot(n7, label='7 posts')\n",
"plt.plot(n8, label='8 posts')\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 333 332 331 330 329 \\\n",
"3 4.81125e-08 7.698e-07 2.35751e-06 4.81125e-06 8.13102e-06 \n",
"4 NaN NaN NaN NaN NaN \n",
"5 NaN NaN NaN NaN NaN \n",
"6 NaN NaN NaN NaN NaN \n",
"7 NaN NaN NaN NaN NaN \n",
"... ... ... ... ... ... \n",
"996 NaN NaN NaN NaN NaN \n",
"997 NaN NaN NaN NaN NaN \n",
"998 NaN NaN NaN NaN NaN \n",
"999 NaN NaN NaN NaN NaN \n",
"1000 NaN NaN NaN NaN NaN \n",
"\n",
" 328 327 326 325 324 ... \\\n",
"3 1.23168e-05 1.73686e-05 2.32865e-05 3.00703e-05 3.77202e-05 ... \n",
"4 NaN NaN NaN NaN NaN ... \n",
"5 NaN NaN NaN NaN NaN ... \n",
"6 NaN NaN NaN NaN NaN ... \n",
"7 NaN NaN NaN NaN NaN ... \n",
"... ... ... ... ... ... ... \n",
"996 NaN NaN NaN NaN NaN ... \n",
"997 NaN NaN NaN NaN NaN ... \n",
"998 NaN NaN NaN NaN NaN ... \n",
"999 NaN NaN NaN NaN NaN ... \n",
"1000 NaN NaN NaN NaN NaN ... \n",
"\n",
" 10 9 8 7 6 5 \\\n",
"3 0.0452691 0.0455495 0.0458308 0.046113 0.0463961 0.04668 \n",
"4 0.0576 0.058081 0.058564 0.059049 0.059536 0.060025 \n",
"5 0.0621092 0.0627647 0.0634237 0.0640861 0.0647519 0.0654212 \n",
"6 0.0637683 0.064585 0.0654069 0.0662339 0.0670662 0.0679036 \n",
"7 0.0641423 0.0651115 0.066088 0.0670717 0.0680627 0.069061 \n",
"... ... ... ... ... ... ... \n",
"996 NaN NaN NaN NaN NaN NaN \n",
"997 NaN NaN NaN NaN NaN NaN \n",
"998 NaN NaN NaN NaN NaN NaN \n",
"999 NaN NaN NaN NaN NaN NaN \n",
"1000 NaN NaN NaN NaN NaN NaN \n",
"\n",
" 4 3 2 1 \n",
"3 0.0469648 0.0472504 0.0475369 0.0478243 \n",
"4 0.060516 0.061009 0.061504 0.062001 \n",
"5 0.0660939 0.06677 0.0674496 0.0681326 \n",
"6 0.0687463 0.0695941 0.0704471 0.0713054 \n",
"7 0.0700666 0.0710794 0.0720995 0.0731269 \n",
"... ... ... ... ... \n",
"996 NaN NaN NaN 1.27324e-06 \n",
"997 NaN NaN NaN 7.16195e-07 \n",
"998 NaN NaN NaN 3.18309e-07 \n",
"999 NaN NaN NaN 7.95772e-08 \n",
"1000 NaN NaN NaN 0 \n",
"\n",
"[998 rows x 333 columns]\n"
]
}
],
"source": [
"print(answers)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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