Soap bubble effect simulation

Soap Bubble Effect.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I can never quite see how the [\"Soap Bubble effect\"](https://www.inference.vc/high-dimensional-gaussian-distributions-are-soap-bubble/) works. How can the density of Gaussians move away from the mean as dimensionality increases? Surely they're still Gaussians, right? Turns out it's hard to think in more than 3 dimensions.\n",
    "\n",
    "But, I saw a simulation recently that made this effect clearer. Which I then lost. So, I'm going to recreate it here."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "def distance_histogram(d):\n",
    "    x = np.random.randn(1000,d)\n",
    "    e = np.sqrt(np.sum(x**2, axis=1))\n",
    "    plt.hist(e)\n",
    "    plt.xlim(0, e.max())\n",
    "    plt.title(f\"Gaussian Samples with Dimension {d}\")\n",
    "    plt.xlabel(\"Euclidean Distance From The Mean\")\n",
    "    plt.ylabel(\"Frequency\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "distance_histogram(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Vv7x2J/Am4IvAl4BtIuKuzuaRdJakBZLuL5VNlPSEpGn5tW9p3LckzZL0oKR9Vq06Zma2OqpeKQDsBLTled4miYg4t5PpzyY9ytp+mpMj4sRygaRtgXHAm4HNgeskvaH2tJOZmfWOSklB0nnA64BpQO1AHax8wC9ExM2S2irGMRa4OCJeBB6RNAvYGbi14vxmZtYDql4pjAa2jYjogXUeKekQYCpwdEQ8C4wAbitNMyeXrUTSeGA8wMBXb9ID4ZiZWU3Vp4/uB17TA+v7JemKYwdgHvDjXK4609ZNQBFxekSMjojRA9cb2gMhmZlZTdUrhWHADEl3AC/WCiPiw91ZWUTMrw1LOgO4Mr+dQ+qBtWYLYC5mZtarqiaFiT2xMknDI2Jefrs/6QoEYDJwoaSTSDeaRwF39MQ6zcysukpJISJukrQlMCoirpO0HjCws3kkXQSMAYZJmgMcB4yRtAOpaWg28Pm8/OmSLgVmAMuAI/zkUd/UNuGqZofA7En7NTsEsz6r6tNHnyPd3N2IdE9gBHAasFdH80TEJ+oUn9nJ9CcAJ1SJx8zMGqPqjeYjgN2ARVD84M6mjQrKzMyao2pSeDEiXqq9kbQWHTwdZGZmfVfVpHCTpGOAdfNvM18G/KFxYZmZWTNUTQoTgCeB+0g3h68m/V6zmZmtQao+ffQy6ec4z2hsOGZm1kxVnz56hDr3ECJi6x6PyMzMmqY7fR/VrAMcSHo81czM1iBVf0/h6dLriYj4CfCeBsdmZma9rGrz0Y6ltwNIVw5DGhKRmZk1TdXmox+XhpeRuqj4eI9HY2ZmTVX16aM9Gx2ImZk1X9Xmo691Nj4iTuqZcMzMrJm68/TRTqQurgE+BNwMPN6IoMzMrDm68yM7O0bEYgBJE4HLIuKzjQrMzMx6X9VuLl4LvFR6/xLQ1uPRmJlZU1W9UjgPuEPSFaRvNu8PnNuwqMzMrCmqPn10gqQ/Au/KRYdHxN8aF5aZmTVD1eYjgPWARRHxU2COpK0aFJOZmTVJpaQg6Tjgm8C3ctEg4PxGBWVmZs1R9Uphf+DDwPMAETEXd3NhZrbGqZoUXoqIIHefLWn9xoVkZmbNUjUpXCrpV8AGkj4HXId/cMfMbI1T9emjE/NvMy8C3gh8JyKmNDQyMzPrdV0mBUkDgWsiYm/AicDMbA3WZfNRRCwHXpA0tBfiMTOzJqr6jeZ/AfdJmkJ+AgkgIr7ckKjMzKwpqiaFq/LLzMzWYJ0mBUmvjYjHIuKc3grIzMyap6t7Cr+rDUi6vMGxmJlZk3WVFFQa3rqRgZiZWfN1lRSig+EuSTpL0gJJ95fKNpI0RdLf898Nc7kknSJplqR7Je3YnXWZmVnP6CopbC9pkaTFwHZ5eJGkxZIWdTHv2cD725VNAK6PiFHA9fk9wAeAUfk1HvhldyphZmY9o9OkEBEDI+LVETEkItbKw7X3r+5i3puBZ9oVjwVqN63PAT5SKj83kttI3WkM7351zMxsdXTn9xR6wmYRMQ8g/900l48AHi9NNyeXrUTSeElTJU1d/sLChgZrZtbf9HZS6IjqlNW9hxERp0fE6IgYPXA9f8nazKwn9XZSmF9rFsp/F+TyOcDI0nRbAHN7OTYzs36vt5PCZODQPHwo8PtS+SH5KaRdgIW1ZiYzM+s9Vbu56DZJFwFjgGGS5gDHAZNIv83wGeAx4MA8+dXAvsAs4AXg8EbFZWZmHWtYUoiIT3Qwaq860wZwRKNiMTOzalrlRrOZmbUAJwUzMys4KZiZWcFJwczMCk4KZmZWcFIwM7OCk4KZmRWcFMzMrOCkYGZmBScFMzMrOCmYmVnBScHMzApOCmZmVnBSMDOzgpOCmZkVnBTMzKzQsB/ZMWuWtglXNTsEAGZP2q/ZIZh1m68UzMys4KRgZmYFJwUzMys4KZiZWcFJwczMCk4KZmZWcFIwM7OCk4KZmRWcFMzMrOCkYGZmBScFMzMrOCmYmVnBScHMzApOCmZmVmhK19mSZgOLgeXAsogYLWkj4BKgDZgNfDwinm1GfGZm/VUzrxT2jIgdImJ0fj8BuD4iRgHX5/dmZtaLWulHdsYCY/LwOcCNwDebFYzZ6mqFH/vxD/1YdzXrSiGAayXdJWl8LtssIuYB5L+b1ptR0nhJUyVNXf7Cwl4K18ysf2jWlcJuETFX0qbAFEkPVJ0xIk4HTgdYe/ioaFSAZmb9UVOuFCJibv67ALgC2BmYL2k4QP67oBmxmZn1Z72eFCStL2lIbRh4H3A/MBk4NE92KPD73o7NzKy/a0bz0WbAFZJq678wIv4k6U7gUkmfAR4DDmxCbGZm/VqvJ4WIeBjYvk7508BevR2PmZmt4G80m5lZwUnBzMwKTgpmZlZwUjAzs4KTgpmZFZwUzMys4KRgZmYFJwUzMys4KZiZWcFJwczMCk4KZmZWcFIwM7OCk4KZmRWcFMzMrOCkYGZmBScFMzMrOCmYmVnBScHMzArN+I1mM+slbROuanYIAMyetF+zQ7CKfKVgZmYFJwUzMys4KZiZWcFJwczMCk4KZmZWcFIwM7OCH0k1s4ZrhUdj/VhsNb5SMDOzgpOCmZkV3HxkZv1CKzRhQes3Y/lKwczMCk4KZmZWaLmkIOn9kh6UNEvShGbHY2bWn7TUPQVJA4GfA+8F5gB3SpocETOaG5mZWc9olXsbHWm1K4WdgVkR8XBEvARcDIxtckxmZv1GS10pACOAx0vv5wDvKE8gaTwwPr998dEffPD+XoqtkYYBTzU7iB6yptTF9WgtrkfP2rKjEa2WFFSnLF7xJuJ04HQASVMjYnRvBNZIa0o9YM2pi+vRWlyP3tNqzUdzgJGl91sAc5sUi5lZv9NqSeFOYJSkrSS9ChgHTG5yTGZm/UZLNR9FxDJJRwLXAAOBsyJieieznN47kTXcmlIPWHPq4nq0Ftejlygiup7KzMz6hVZrPjIzsyZyUjAzs0KfSApddX0haW1Jl+Txt0tq6/0ou1ahHodJelLStPz6bDPi7IqksyQtkFT3OyJKTsn1vFfSjr0dYxUV6jFG0sLS/vhOb8dYhaSRkm6QNFPSdElfqTNNy++TivVo+X0iaR1Jd0i6J9fj+DrTtO4xKyJa+kW64fwPYGvgVcA9wLbtpvkScFoeHgdc0uy4V7EehwGnNjvWCnXZA9gRuL+D8fsCfyR972QX4PZmx7yK9RgDXNnsOCvUYziwYx4eAjxU57PV8vukYj1afp/kbTw4Dw8Cbgd2aTdNyx6z+sKVQpWuL8YC5+Th3wB7Sar3RbhmWmO68IiIm4FnOplkLHBuJLcBG0ga3jvRVVehHn1CRMyLiLvz8GJgJql3gLKW3ycV69Hy8jZekt8Oyq/2T/S07DGrLySFel1ftP+gFNNExDJgIbBxr0RXXZV6AHwsX97/RtLIOuP7gqp17Qt2zc0Af5T05mYH05XcDPE20tlpWZ/aJ53UA/rAPpE0UNI0YAEwJSI63B+tdszqC0mhy64vKk7TbFVi/APQFhHbAdex4kyir+kL+6OKu4EtI2J74GfA75ocT6ckDQYuB46KiEXtR9eZpSX3SRf16BP7JCKWR8QOpF4Zdpb0lnaTtOz+6AtJoUrXF8U0ktYChtJ6zQJd1iMino6IF/PbM4C391JsPW2N6K4kIhbVmgEi4mpgkKRhTQ6rLkmDSAfSCyLit3Um6RP7pKt69KV9AhARzwE3Au9vN6plj1l9ISlU6fpiMnBoHj4A+HPkOzgtpMt6tGvj/TCpTbUvmgwckp942QVYGBHzmh1Ud0l6Ta2dV9LOpP+Xp5sb1cpyjGcCMyPipA4ma/l9UqUefWGfSNpE0gZ5eF1gb+CBdpO17DGrpbq5qCc66PpC0neBqRExmfRBOk/SLFK2Hde8iOurWI8vS/owsIxUj8OaFnAnJF1EegpkmKQ5wHGkm2lExGnA1aSnXWYBLwCHNyfSzlWoxwHAFyUtA5YC41rlH7ed3YBPA/fldmyAY4DXQp/aJ1Xq0Rf2yXDgHKUfDRsAXBoRV/aVY5a7uTAzs0JfaD4yM7Ne4qRgZmYFJwUzMys4KZiZWcFJwczMCk4K/Zik5aXeJqepTs+tFZczu/YFIkm3dDDN2ZIOWJ14K8RRq8/03A3C1yQNyONGSzqlk3nbJH2ykfF1ps6+aGvgug4vreclSffl4UmSJkr6+mos+0ZJj5X78ZH0O0lLOpvPWkfLf0/BGmpp/ip+j4mId/bk8rqpqI+kTYELSd8UPS4ipgJTO5m3DfhknqcZOt0XktbKfeSstoj4NfDrvNzZwJ4R8VR+P7EHVvEc6TsHf81f4mqpjvesc75SsJW0O/MfLenGPDxY0q/zmeW9kj5WZ94l+a8knSpphqSrgE1L07xd0k2S7pJ0Te2b3JI+J+nOfJZ/uaT1cvnZSr8FcIukh6tccUTEAmA8cGSOZYykK/Py3l06U/6bpCHAJOBdueyr+crhL5Luzq935nnH5LPh30h6QNIFpW/Y7pRjvEepP/0hSh2j/SjX615Jn+/GfjhM0mWS/gBcm+vxI0n3531wUCmmmyRdKumhfMb/qRzDfZJeV3Wd2ba5jg9L+nIpnoPzMqdJ+pXSl7PquZgVX8b6KPCK7iokfaO0PY4vlf8ufyamSxpfKl8i6YS8XW+TtFk362Pd0ey+u/1q3gtYDkwrvQ7K5bOBYXl4NHBjHv4B8JPS/BvWmX5J/vtRYArp29ubk84eDyB9Y/gWYJM83UGkb3cDbFxa9veA/8zDZwOXkU5itiV1QV6vPkvqlD0LbEapH35Sx4O75eHBpCvmYnwuXw9YJw+PIn0TlTzdQlLfQQOAW4HdSb+R8TCwU57u1Xm544Fjc9napKuVrbrYF1fkssNIfeRslN9/rLRNNwMeI52Fj8nbd3hexxPA8Xmer5T3WZ31Fvsuv5+Y98/awDBSFxKDgG3ydhuUp/sFcEid5d0IvAO4N8d5LekqrPa5eB/px+uVt9+VwB55XK2e6wL31z4PpI7iPpSHf1jbnn415uXmo/6tu81He1P6On5EPNvJtHsAF0XEcmCupD/n8jcCbwGm5BPsgUCtD563SPoesAHpYH1NaXm/i4iXgRndPFOs1xvl/wEnSboA+G1EzNHKXdkPAk6VtAPpgP2G0rg7ImIOgFJ3DG2kRDEvIu6E1HFbHv8+YLvS1c1QUpJ5pN36OtoXUyKi1lHa7qzYpvMl3QTsBCwC7ozcl5Gkf5AOxgD3AXvWWW5nrorUMeOLkhaQEtBepA4a78zbal1St9D1LAf+Skr460bE7NL2fV9+/S2/H0zaHjeTunnZP5ePzOVPAy+RkgfAXcB7u1kf6wYnBatnGSuaFtcplYvude9bb1oB0yNi1zrjzgY+EhH3SDqMdAZc82JpuNKPkUjamnSAWkA6001BRUzKTVr7ArdJ2rvO7F8F5gPbk7bFvzqIZTnp/6ijbSPSFc81dcZV8Xy7ZXWkHNPLpfcv0/3/847qd05EfKviMi4GriBdeZQJ+H5E/OoVhdIY0knHrhHxQm6yrH32/h35MqEUjzWI7ylYPbNZ0W13+b7BtcCRtTeSNuxkGTcD43Kb+nBWnK0+CGwiade8jEFa8UMpQ4B5St0nf2p1KiBpE+A00s+bRrtxr4uI+yLiB6TmnDcBi/P6a4aSzvxfJnXS1lH7ec0DwOaSdsrrGKLUJfI1pA7cBuXyN0hafxWrdTNwUN6mm5Cuxu5YxWV11/XAAUo38JG0kaQtO5n+L8D3gYvalV8D/IfSbyYgaURe5lDg2ZwQ3kT6yVBrAmfc/m1dreiNEuBPETEBOB44U9IxvPKXr74H/Fzph+6X5+nq9d0P6SzxPaTmi4eAmwAi4qXclHKKpKGkz+BPgOnA/8vrezTPN6TOcqvUZxDpauc8oF4XzEdJ2jPXYQbpt4tfBpZJuod0xfIL4HJJBwI38Moz9pXkeh0E/Eypu+SlpDPf/yU1L92db0g/CXykm/WquQLYlfT73gH8V0T8Mx9EGyoiZkg6lnTDewDwb+AI0r6qN30AJ9Ypv1bSNsCtuUlpCXAw8CfgC5LuJZ043NaQiliX3EuqmZkV3HxkZmYFJwUzMys4KZiZWcFJwczMCk4KZmZWcFIwM7OCk4KZme+6JlsAAAAHSURBVBX+P46HBA2DeErHAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MiPmSTiwlMjMza7h6k8JewPKIWAkgaRAwJCKej4iLSovOzMwaqt5rCn8Chla9XyeXmZlZP1JvUhgSEcsqb/LwOuWEZGZmzVJvUnhO0vaVN5LeASzvZHozM+uD6r2mcAzwS0nz8/tRwEHlhGRmZs1SV1KIiOmS3gxsCQh4KCJeKjUyMzNruK48jnMHoDXPs50kIuLCUqIyM7OmqCspSLoIeANwL7AyFwfgpGBm1o/UW1MYB2wdEVHvgiWdC+wDLIqIbXLZZOAzwOI82QkRcU0edzzwKVLS+WJEXFvvuszMrGfUe/fRg8B/dHHZ5wN71ig/LSK2za9KQtgaOBh4S57nJ5LW6uL6zMysm+qtKYwEZkm6E3ihUhgRH+pohoi4WVJrncvfD7g8Il4AHpU0B9gRuK3O+c3MrAfUmxQm9+A6j5Z0ODADOC4ingZGA7dXTdOWy1YhaSIwEWDTTTftwbDMzKze5yncBMwFBufh6cDda7C+M0kXrLcFFgDfz+WqtdoOYjkrIsZFxLiWlpY1CMHMzDpSb9fZnwF+BfwsF40GftPVlUXEwohYGREvk3pd3TGPaiM9wKdiE2B++/nNzKxc9V5oPgoYDyyB4oE7G3V1ZZJGVb09gHQBG+Bq4GBJr5W0OTAWuLOryzczs+6p95rCCxHxopRaeSStTQfNOxWSLgMmACMltQHfAiZI2jbPOxf4LEBEzJR0BTALWAEcVemm28zMGqfepHCTpBOAofnZzJ8HftfZDBFxSI3iczqZ/mTg5DrjMTOzEtSbFCaRflj2AOns/hrg7LKCMitT66SpzQ7BrNeqt0O8yoXhn5cbjpmZNVO9fR89So1rCBGxRY9HZGZmTdOVvo8qhgAHAhv0fDhmZtZM9f547cmq1+MR8QPgfSXHZmZmDVZv89H2VW8HkWoOw0uJyMzMmqbe5qPvVw2vIP3G4GM9Ho2ZmTVVvXcf7Vp2IGZm1nz1Nh8d29n4iDi1Z8IxM7Nm6srdRzuQ+igC2Be4GZhXRlBmZtYcXXnIzvYRsRSKx2r+MiI+XVZgZmbWePX2krop8GLV+xeB1h6PxszMmqremsJFwJ2SriL9svkA4MLSojIzs6ao9+6jkyX9AXhPLjoyIu4pLywzM2uGepuPANYBlkTED4G2/DAcMzPrR+p9HOe3gK8Dx+eiwcDFZQVlZmbNUW9N4QDgQ8BzABExH3dzYWbW79SbFF6MiCB3ny1p3fJCMjOzZqk3KVwh6WfACEmfAf6EH7hjZtbv1Hv30ffys5mXAFsC34yIaaVGZmZmDbfapCBpLeDaiNgdcCIwM+vHVtt8FBErgeclrdeAeMzMrInq/UXzv4EHJE0j34EEEBFfLCUqMzNrinqTwtT8MjOzfqzTpCBp04h4LCIuaFRAZmbWPKu7pvCbyoCkK0uOxczMmmx1SUFVw1uUGYiZmTXf6pJCdDBsZmb90OouNL9d0hJSjWFoHia/j4h4XanRmZlZQ3WaFCJirUYFYmZmzdeV5yl0iaRzJS2S9GBV2QaSpkn6e/67fi6XpNMlzZF0v6Tty4rLzMw6VlpSAM4H9mxXNgm4PiLGAtfn9wAfBMbm10TgzBLjMjOzDpSWFCLiZuCpdsX7AZXfPFwA7F9VfmEkt5N6Yx1VVmxmZlZbmTWFWjaOiAUA+e9GuXw0MK9qurZctgpJEyXNkDRj8eLFpQZrZjbQNDopdEQ1ymreAhsRZ0XEuIgY19LSUnJYZmYDS6OTwsJKs1D+uyiXtwFjqqbbBJjf4NjMzAa8RieFq4Ej8vARwG+ryg/PdyG9C3i20sxkZmaNU28vqV0m6TJgAjBSUhvwLWAK6dGenwIeAw7Mk18D7AXMAZ4HjiwrLjMz61hpSSEiDulg1G41pg3gqLJiMTOz+vSWC81mZtYLOCmYmVnBScHMzAqlXVMwM6uldVK5T/adO2XvUpff37mmYGZmBScFMzMrOCmYmVnBScHMzApOCmZmVnBSMDOzgpOCmZkVnBTMzKzgpGBmZgUnBTMzKzgpmJlZwUnBzMwKTgpmZlZwUjAzs4KTgpmZFZwUzMys4KRgZmYFJwUzMys4KZiZWcFJwczMCk4KZmZWcFIwM7OCk4KZmRWcFMzMrOCkYGZmhbWbsVJJc4GlwEpgRUSMk7QB8AugFZgLfCwinm5GfGZmA1Uzawq7RsS2ETEuv58EXB8RY4Hr83szM2ug3tR8tB9wQR6+ANi/ibGYmQ1IzUoKAVwn6S5JE3PZxhGxACD/3ajWjJImSpohacbixYsbFK6Z2cDQlGsKwPiImC9pI2CapIfqnTEizgLOAhg3blyUFaCZ2UDUlKQQEfPz30WSrgJ2BBZKGhURCySNAhY1IzZrrtZJU5sdgtmA1vDmI0nrShpeGQb2AB4ErgaOyJMdAfy20bGZmQ10zagpbAxcJamy/ksj4o+SpgNXSPoU8BhwYBNiMzMb0BqeFCLiEeDtNcqfBHZrdDxmZvaK3nRLqpmZNZmTgpmZFZwUzMys4KRgZmYFJwUzMys4KZiZWcFJwczMCk4KZmZWcFIwM7OCk4KZmRWcFMzMrNCs5ymYmZWiEd2vz52yd+nraBbXFMzMrOCkYGZmBScFMzMrOCmYmVnBScHMzApOCmZmVnBSMDOzgpOCmZkVnBTMzKzgpGBmZgUnBTMzKzgpmJlZwUnBzMwK7iXVuqQRPVCa9XZl/x80sxdW1xTMzKzgpGBmZgUnBTMzKzgpmJlZodddaJa0J/BDYC3g7IiY0uSQzMwaqpk3dPSqmoKktYAfAx8EtgYOkbR1c6MyMxs4elVSAHYE5kTEIxHxInA5sF+TYzIzGzB6W/PRaGBe1fs24J3VE0iaCEzMb1+Q9GCDYmuEkcATzQ6ih/SnbQFvT2/Wn7YFGrM9m3U0orclBdUoi1e9iTgLOAtA0oyIGNeIwBqhP21Pf9oW8Pb0Zv1pW6D529Pbmo/agDFV7zcB5jcpFjOzAae3JYXpwFhJm0t6DXAwcHWTYzIzGzB6VfNRRKyQdDRwLemW1HMjYmYns5zVmMgapj9tT3/aFvD29Gb9aVugydujiFj9VGZmNiD0tuYjMzNrIicFMzMr9NmkIGlPSX+TNEfSpGbH0x2SzpW0qD/85kLSGEk3SJotaaakLzU7pu6QNETSnZLuy9tzUrNj6i5Ja0m6R9Lvmx1Ld0maK+kBSfdKmtHseLpL0ghJv5L0UP4f2qnhMfTFawq5O4yHgfeTbmOdDhwSEbOaGtgakrQLsAy4MCK2aXY83SFpFDAqIu6WNBy4C9i/D382AtaNiGWSBgN/Ab4UEbc3ObQ1JulYYBzwuojYp9nxdIekucC4iOgXP16TdAFwS0Scne/AXCcinmlkDH21ptCvusOIiJuBp5odR0+IiAURcXceXgrMJv1SvU+KZFl+Ozi/+t6ZVCZpE2Bv4Oxmx2KvJul1wC7AOQAR8WKjEwL03aRQqzuMPnvg6a8ktQLbAXc0N5Luyc0t9wKLgGkR0Ze35wfA14CXmx1IDwngOkl35S5w+rItgMXAebl572xJ6zY6iL6aFFbbHYY1l6RhwJXAMRGxpNnxdEdErIyIbUm/sN9RUp9s4pO0D7AoIu5qdiw9aHxEbE/qWfmo3BTbV60NbA+cGRHbAc8BDb9e2leTgrvD6MVy2/uVwCUR8etmx9NTclX+RmDPJoeypsYDH8rt8JcD75N0cXND6p6ImJ//LgKuIjUt91VtQFtVTfRXpCTRUH01Kbg7jF4qX5g9B5gdEac2O57uktQiaUQeHgrsDjzU3KjWTEQcHxGbREQr6X/mzxFxWJPDWmOS1s03M5CbWfYA+uwdfBHxL2CepC1z0W5Aw2/Q6FXdXNRrDbrD6NUkXQZMAEZKagO+FRHnNDeqNTYe+ATwQG6HBzghIq5pYkzdMQq4IN/xNgi4IiL6/K2c/cTGwFXpPIS1gUsj4o/NDanbvgBckk92HwGObHQAffKWVDMzK0dfbT4yM7MSOCmYmVnBScHMzApOCmZmVnBSMDOzgpPCACZpZe5dsvJao19P5p4qR+bhWzuY5nxJH+1OvHXEUdmemblX02MlDcrjxkk6vZN5WyV9vMz4OlPjs2gtcV1HVq3nxapeRqdImizpK91Y9o2SHsu/V6mU/UbSss7ms96jT/5OwXrM8tx9Q4+JiHf35PK6qNgeSRsBlwLrkX73MQPorGvlVuDjeZ5m6PSzkLR2RKzoiRVFxHnAeXm5c4FdK72MSprcA6t4hvR7lb/kH/6N6oFlWoO4pmCraHfmP07SjXl4mKTz8pnl/ZI+UmPeZfmvJJ0haZakqcBGVdO8Q9JNuROza3N320j6jKTp+Sz/Sknr5PLzJZ0u6VZJj9RT48jdHkwEjs6xTFB+foCk91adKd+TfxU7BXhPLvtyrjncIunu/Hp3nndCPhuu9Hl/SeWsWNIOOcb7lJ7BMFypM73/y9t1v6TPduFz+KSkX0r6HanTN+VlPZg/g4OqYrpJ0hWSHs5n/IfmGB6Q9IZ615ltnbfxEUlfrIrnsLzMeyX9TOkHfbVcTvrFNMCHgVd1dSLpq1X746Sq8t/k78RMVXVuJ2mZpJPzfr1d0sZd3B7riojwa4C+gJXAvVWvg3L5XGBkHh4H3JiHvwP8oGr+9WtMvyz//TAwjfSL89eTzh4/Sup6+lagJU93EOkX6QAbVi3728AX8vD5wC9JJzFbk7pNr7U9y2qUPU365esE4Pe57HekjtQAhpFqzMX4XL4OMCQPjwVm5OEJwLOk/rYGAbcBOwOVX6DukKd7XV7uRODEXPZaUm1l89V8Flflsk+S+sPZIL//SNU+3Rh4jHQWPiHv31F5HY8DJ+V5vlT9mdVYb/HZ5feT8+fzWmAk8GT+zLbK+21wnu4nwOE1lncj8E7g/hzndaRaWOV7sQfpwfTK++/3wC55XGU7h5K6q9gwvw9g3zz83cr+9Kucl5uPBrauNh/tzitngETE051MuwtwWUSsBOZL+nMu3xLYBpiWT7DXAhbkcdtI+jYwgnSwvrZqeb+JiJeBWV08U6zVo+5fgVMlXQL8OiLaqprAKwYDZ0jalnTAflPVuDsjog1AqSuPVlKiWBAR0wEi9wwraQ/gbVW1m/VISebRduvr6LOYFhGVZ23szCv7dKGkm4AdgCXA9IhYkNf5D9LBGOABYNcay+3M1Ih4AXhB0iJSAtoNeAcwPe+roaSuxGtZSXoY0UHA0IiYW7V/98ive/L7YaT9cTPwRUkH5PIxufxJ4EVS8oD00Kb3d3F7rAucFKyWFbzStDikqlx0rYvyWtMKmBkRtR4zeD7pKW33Sfok6Qy44oV2y1gtSVuQDlCLSGe6KaiIKblJay/gdkm715j9y8BC4O2kffHvDmJZSfo/6mjfiFTjubbGuHo8125ZHamO6eWq9y/T9f/zjrbvgog4vs5lXE7qtXRyu3IBp0TEz15VKE0gnXTsFBHP5ybLynfvpcjVhKp4rCS+pmC1zCWdFUJqsqi4Dji68kbS+p0s42bg4NymPopXzlb/BrQoP3tW0mBJb8njhgMLlLrePrQ7GyCpBfgpcEbVAaUy7g0R8UBEfIfUnPNmYGlef8V6pDP/l0kd/HXUfl7xEPB6STvkdQyXtDaptvNfeZuQ9Cat+YNTbgYOyvu0hVQbu3MNl9VV1wMfVbqAj6QNJG3WyfS3AKcAl7Urvxb4T6XnbSBpdF7mesDTOSG8GXhXj2+B1cUZd2Abqld6MgX4Y0RMAk4CzpF0Aq9+atq3gR9LepB0xnYS7S4iVrkKeB+p+eJh4CZIjxjMTSmnS1qP9B38ATAT+O+8vn/m+YbXWG492zOYVNu5CKjVffcxknbN2zAL+APpjHqFpPtINZafAFdKOhC4gVefsa8ib9dBwI+UutheTjrzPZvUvHR3viC9GNi/i9tVcRWwE3AfqVbytYj4Vz6IlioiZkk6kXTBexDwEnAU6bOqNX0A36tRfp2krYDbcpPSMuAw4I/A5yTdTzpx6LPPwO7r3EuqmZkV3HxkZmYFJwUzMys4KZiZWcFJwczMCk4KZmZWcFIwM7OCk4KZmRX+P61koucEJmbpAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for d in np.logspace(0, 3, 16):\n",
    "    distance_histogram(int(d))"
   ]
  }
 ],
 "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": "3.6.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}