mm5.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![satacad](./images/satacadlogo.gif)\n",
    "TOC: [1](./mm1.ipynb)  [2](./mm2.ipynb)  [3](./mm3.ipynb)  [4](./mm4.ipynb) [6](./mm6.ipynb)\n",
    "\n",
    "\n",
    "## MARTIAN MATH IS FOR VISUALIZING PLANETARY DATA \n",
    "\n",
    "<a data-flickr-embed=\"true\"  href=\"https://www.flickr.com/photos/kirbyurner/28494828118/in/photolist-KpZrDY-S6wwyM-S6wx6t-JU5VsA-g8qgx7-au4y8r-9nuDBg-8BTxEh-7YSaxm-7TYgVa-6kaYa3-6kb1tS-5WLds4-5B9hk5-5xioRy-5w7Poh-5uAR5t-5t2c3Q-3e3yf5\" title=\"DGGS / Global Matrix\"><img src=\"https://farm2.staticflickr.com/1741/28494828118_573fc6c57b.jpg\" width=\"500\" height=\"281\" alt=\"DGGS / Global Matrix\"></a><script async src=\"//embedr.flickr.com/assets/client-code.js\" charset=\"utf-8\"></script>\n",
    "\n",
    "<a data-flickr-embed=\"true\"  href=\"https://www.flickr.com/photos/kirbyurner/29139475142/in/photolist-U2jy9M-TLQmDd-Ls2Jxs-LuCvek-KEwYhm-LuBvvK-KEwhSu-LoXqKQ-bDLHiF-8rBJiJ-6CygCR-6i1fox-6gjuQZ-5FeGfV-5DoEwp-5t2c3Q\" title=\"hexapent\"><img src=\"https://farm9.staticflickr.com/8064/29139475142_bbc72ca8a5.jpg\" width=\"500\" height=\"375\" alt=\"hexapent\"></a><script async src=\"//embedr.flickr.com/assets/client-code.js\" charset=\"utf-8\"></script>\n",
    "\n",
    "\n",
    "#### RESOURCE\n",
    "\n",
    "[Antiprism](http://www.antiprism.com/examples/150_named_models/580_geodesic_duals/index.html) free software will let you generate a lot of these polyhedrons from a command line."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
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ywY7s2Qu16XfW2talJXNnBHU/oIQcfdv/ABqZj0StNtzqTbzvJ5dCrFzc6k28mny/Kt1m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\nUjHQdKjBU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      "text/html": [
       "\n",
       "        <iframe\n",
       "            width=\"400\"\n",
       "            height=\"300\"\n",
       "            src=\"https://www.youtube.com/embed/JWl4ZPrb5Ag\"\n",
       "            frameborder=\"0\"\n",
       "            allowfullscreen\n",
       "        ></iframe>\n",
       "        "
      ],
      "text/plain": [
       "<IPython.lib.display.YouTubeVideo at 0x109fb6cc0>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import YouTubeVideo\n",
    "YouTubeVideo(\"JWl4ZPrb5Ag\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a data-flickr-embed=\"true\"  href=\"https://www.flickr.com/photos/kirbyurner/6235717789/in/photolist-HrQ8AP-bpJNXj-bCuaRv-av2FDF-9ptQ7S-7dQL9q-5r1Exj\" title=\"Fuller Projection\"><img src=\"https://farm7.staticflickr.com/6043/6235717789_1d67fb6cb9.jpg\" width=\"500\" height=\"375\" alt=\"Fuller Projection\"></a><script async src=\"//embedr.flickr.com/assets/client-code.js\" charset=\"utf-8\"></script>\n",
    "\n",
    "\n",
    "#### Resource:\n",
    "\n",
    "[A005901](http://oeis.org/A005901)\n",
    "<div style=\"text-align:center\">\n",
    "A005901 at Online Encyclopedia of Integer Sequences\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 12, 42, 92, 162, 252, 362, 492, 642, 812]\n"
     ]
    }
   ],
   "source": [
    "def icosa_series(freq):\n",
    "    if freq == 0:\n",
    "        return 1\n",
    "    return 10 * freq ** 2 + 2\n",
    "\n",
    "print([icosa_series(n) for n in range(10)])"
   ]
  }
 ],
 "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": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}