{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# FlatSurf Demo\n",
    "## Warwick EPSRC Symposium on \"Computation in geometric topology\"\n",
    "By Pat Hooper <whooper@ccny.cuny.edu>\n",
    "\n",
    "This material is based upon work supported by the National Science Foundation under Grant 1500965."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "FlatSurf is a SAGE module which works with \"flat surfaces\" written so far mostly by Vincent Delecroix and P. H. It is developing in random directions depending on our interests, but we would like it to be as helpful as possible for everyone... We welcome other contributors!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "To get FlatSurf you first need <a href=\"http://www.sagemath.org/\">SAGE</a>. Then you can get FlatSurf by following the directions here on the <a href=\"https://github.com/videlec/sage-flatsurf#installing-the-module\">FlatSurf GitHub page</a>. (Currently we recommend running \n",
    "\n",
    "<code>sage -pip install git+https://github.com/videlec/sage-flatsurf</code>\n",
    "\n",
    "to install.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "from flatsurf import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## Veech Group Elements (Affine symmetries)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Veech's double n-gon surfaces:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Q1q+P5bbb/KedBT8LvBNt7dKlVtzu83++EMI/nTiv5uabDS7kN/wq8EBva48e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\nKTwhhGlI4QkhTOP/g0/QQD4TDPcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "Graphics object consisting of 21 graphics primitives"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s = translation_surfaces.veech_double_n_gon(5).canonicalize()\n",
    "s.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.3632712640026804?"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p=s.polygon(0)\n",
    "modulus = (p.vertex(3)[1]-p.vertex(2)[1])/(p.vertex(2)[0]-p.vertex(4)[0])\n",
    "AA(modulus)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{rr}\n",
       "1 & 2 \\\\\n",
       "0 & 1\n",
       "\\end{array}\\right)</script></html>"
      ],
      "text/plain": [
       "[1 2]\n",
       "[0 1]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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gQwe7k4lUHg0QIiJSbW3ebNWVvvnGoHfvNEaOPEZ4uOpKUrlcLtiwwXqa0rff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\naDIWCAAAAABNxgIBAAAAoMn+F+kjw6xWWbszAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "Graphics object consisting of 21 graphics primitives"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m = matrix(s.base_ring(),[[1,2],[0,1]])\n",
    "show(matrix(AA,m))\n",
    "ss = m*s\n",
    "ss.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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0YMgQfkaJJkmW46OfaPduoEULGU88sQ8DB5aKjkNxwm63s5KP6uRY9zsRxQ9Z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\n",
      "text/plain": [
       "Graphics object consisting of 33 graphics primitives"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ss.delaunay_decomposition().plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "The following checks that the matrix m stabilizes s:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ss.canonicalize()==s"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## Geodesics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "s = translation_surfaces.veech_double_n_gon(5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "The tangent bundle of the surface:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "TB = s.tangent_bundle()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Define a tangent vector in polygon $0$ starting at $(\\frac{1}{2},0)$ and pointed in some direction:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "direction = s.polygon(0).vertex(2)+3*s.polygon(0).vertex(3)\n",
    "v=TB(0, (1/2,0), direction)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Convert the vector to a straight-line trajectory."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "traj=v.straight_line_trajectory()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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tM/Xqrroa1q2L89jd2Qs8GnhRUXDnndLWmt2iRYsYPnw4ffr0YdKkSXz11Veq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\nu06tAm/FCqiq0khJkcATQrhPYCD062cnI6N2bW2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zzz/fjuXLW5CQoNi3TxEYaObQolbk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\nRU5ErkJggg==\n",
      "text/plain": [
       "Graphics object consisting of 22 graphics primitives"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.plot()+traj.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True\n",
      "40\n"
     ]
    },
    {
     "data": {
      "image/png": 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7967FDWgkxACjPQZedGRMmTLF6GdTUlIQFxdncYEQCZ6TXUPd+vDhD7BmTRbG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\nAcDw4cCRI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      "text/plain": [
       "Graphics object consisting of 61 graphics primitives"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "traj.flow(1000)\n",
    "print(traj.is_closed())\n",
    "print(traj.combinatorial_length())\n",
    "s.plot()+traj.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## Cone surfaces from polyhedra"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Polyhedra are built into SAGE and you can use them to build a translation surface. In this Demo we only use a built in function for a Platonic Solid."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "from flatsurf.geometry.polyhedra import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "polyhedron,s,mapping = platonic_dodecahedron()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
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      ],
      "text/plain": [
       "Graphics3d Object"
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     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "polyhedron.plot(frame=False)"
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  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
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KguHDkQSqgdUaQsuWeUREyNlyteGvPatKQWamYujQfCwysltjFgsMHZpPVpaS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\nrkJggg==\n",
      "text/plain": [
       "Graphics object consisting of 61 graphics primitives"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.plot(polygon_labels=False,edge_labels=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True\n",
      "90\n"
     ]
    }
   ],
   "source": [
    "TB = s.tangent_bundle()\n",
    "direction = s.polygon(0).vertex(2)+2*s.polygon(0).vertex(3)\n",
    "v=TB(0, (1/2,0), direction)\n",
    "traj=v.straight_line_trajectory()\n",
    "traj.flow(100)\n",
    "print(traj.is_closed())\n",
    "print(traj.combinatorial_length())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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U/3/8uGPZXogeDEllKSynU6VTp05MmTKFb7/9ltDQUPW5oPAp4/wbjVSNvWvX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ly5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\nqMckQK1cSYm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      "text/plain": [
       "Graphics object consisting of 151 graphics primitives"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.plot()+traj.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
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       "      script: script,\n",
       "    };\n",
       "    var jmolApplet0 = Jmol.getApplet('jmolApplet0', Info);\n",
       "  </script>\n",
       "</body>\n",
       "</html>\n",
       "\" \n",
       "        width=\"100%\"\n",
       "        height=\"500\"\n",
       "        style=\"border: 0;\">\n",
       "</iframe>\n"
      ],
      "text/plain": [
       "Graphics3d Object"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "polyhedron.plot(frame=False, point=False, line=False, wireframe=None)+line3d(mapping(traj),radius=0.02, frame=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True\n",
      "320\n"
     ]
    }
   ],
   "source": [
    "TB = s.tangent_bundle()\n",
    "direction = s.polygon(0).vertex(2)+3*s.polygon(0).vertex(3)\n",
    "v=TB(0, (1/2,0), direction)\n",
    "traj=v.straight_line_trajectory()\n",
    "traj.flow(1000)\n",
    "print(traj.is_closed())\n",
    "print(traj.combinatorial_length())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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RixYtAiAtLY3+/ftz//59AKpVq8bUqVM5c+YMgDzhqDi60J05cyYZGRkoFApq1apV6PVn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SEsKFCxdYvXo1ycnJODo6Mnv27EJtxoyMDOLj4wkMDOT48eO0bNmS58+fk5CQIKTzpMBgbW1N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UilUq5fvy6mC5UVHXjnzh3u3r0rHnuUhSAI3LhxAycnJ6BwkWz58uXlSpuePtViwQJr3r7V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\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n6iLffyqgAQEB2NvbM2DAAJydnSkuLq4wjRsZGUl4eDje3t7Y29tX+tnh4dqos4IOl6dO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\n",
      "text/plain": [
       "Graphics object consisting of 381 graphics primitives"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show(s.plot()+traj.plot())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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TguGOPsBvf/vS1q2piopj4lbLpvyBkZ0HiEGt+6wG32XZbHfeHopEjgOATYVDJjsMw2Tt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\njba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grmulUnsbGt4K4AJjx6PiSgAgMISRiaqEGQSEhTShrLr1AOb3XjbfuZwVBMNI0Vap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\n",
      "text/plain": [
       "Graphics3d Object"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p = polyhedron.plot(frame=False, point=False, line=False, wireframe=None)+line3d(mapping(traj),radius=0.02, frame=False)\n",
    "show(p,viewer='tachyon',frame=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## Relative period deformations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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DBjRo4MAG21EAAECMnHJKo04/vT7hbmEmTClrbnY/rcStSwAAEl8wGNFzz0mN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\nAD6AUQYAAOAD/gs7yyPflSCOFAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "Graphics object consisting of 11 graphics primitives"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s = translation_surfaces.veech_2n_gon(5)\n",
    "s.plot(edge_labels=False,polygon_labels=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Currently we have to triangulate to do a rel deformation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "s = s.triangulate().copy(relabel=True,mutable=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "A singularity is an equivalence class of vertices of polygons."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "singularity with vertex equivalence class frozenset([(3, 2), (0, 0), (7, 1), (2, 1), (6, 2), (5, 1), (1, 0), (4, 0), (0, 1), (7, 0), (6, 1), (3, 1), (5, 0), (2, 2), (4, 1), (1, 1)])"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sing = s.singularity(0,0)\n",
    "sing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "We can now deform by moving one singularity relative to the others. Here is a small deformation in the slope one direction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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2bQ5isdx8wLmwMMGkSat5802DGTOsTiOy97TSLiJ7raSkZnX9gw9g+PAShg0r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\nU4IAAAAASUVORK5CYII=\n",
      "text/plain": [
       "Graphics object consisting of 43 graphics primitives"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ss=s.rel_deformation({sing:vector(s.base_ring(),(1/20,1/20))})\n",
    "ss.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "A larger deformation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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okc7LLxtyc+2uxvvoQK2IiIh4pL17YcwYwyefWLRvn8XkyQnUq1dod1m2CA0NJS8vv1KE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Wub00lZWL3aR2ZmOhs2eLnjDot+/QyJiXanklBlDPzhD6X/PfOM47+DsxzMnl2Z556rjGXBBRcc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\n",
      "text/plain": [
       "Graphics object consisting of 43 graphics primitives"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ss=s.rel_deformation({sing:vector(s.base_ring(),(100,100))})\n",
    "ss.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "source": [
    "## The Necker Cube Surface"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "I'm demonstrating a result (in progress) of Pavel Javornik, an undergraduate at City College of New York."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "from flatsurf.geometry.straight_line_trajectory import StraightLineTrajectory\n",
    "\n",
    "class SurfaceToSpaceMapping(SageObject):\n",
    "    def __init__(self, similarity_surface, tranformation):\n",
    "        self._s=similarity_surface\n",
    "        from types import FunctionType\n",
    "        if isinstance(transformation,FunctionType):\n",
    "            self.transformation=transformation\n",
    "        \n",
    "    def transformation(self, label):\n",
    "        r\"\"\"\n",
    "        Return a pair (m,t) where m is a 3x2 matrix and v is a vector with 3 entries.\n",
    "        The associated tranformation from the polygon with the given label is v mapsto\n",
    "        m*v+t where v is a point in the polygon.\n",
    "        \"\"\"\n",
    "        return self._t[label]\n",
    "    \n",
    "    def image_polygon(self,label):\n",
    "        r\"\"\"\n",
    "        Return a 2-dimensional polyhedron in 3-space representing the image of the polygon with the given label.\n",
    "        \"\"\"\n",
    "        p = self._s.polygon(label)\n",
    "        m,t = self.transformation(label)\n",
    "        vertices = [ m*v+t for v in p.vertices() ]\n",
    "        return Polyhedron(vertices=vertices)\n",
    "    \n",
    "    def plot(self, labels, point=False, line=False, polygon=None, wireframe=None, frame=False, label_to_color=None):\n",
    "        r\"\"\"\n",
    "        Return a 3d plot of the polygonal images in 3-space corresponding to the collection of labels.\n",
    "        The other parameters are passed to a Polyhedron.plot method and affect the rendering.\n",
    "        \"\"\"\n",
    "        it = iter(labels)\n",
    "        label = it.next()\n",
    "        if label_to_color is None:\n",
    "            p = self.image_polygon(label).plot(point=point, line=line, polygon=polygon, \\\n",
    "                                               wireframe=wireframe,frame=frame,color=\"pink\")\n",
    "        else:\n",
    "            p = self.image_polygon(label).plot(point=point, line=line, polygon=polygon, \\\n",
    "                                               wireframe=wireframe,frame=frame,color=label_to_color(label))            \n",
    "        for label in it:\n",
    "            if label_to_color is None:\n",
    "                p += self.image_polygon(label).plot(point=point, line=line, polygon=polygon, \\\n",
    "                                                   wireframe=wireframe,frame=frame,color=\"pink\")\n",
    "            else:\n",
    "                p += self.image_polygon(label).plot(point=point, line=line, polygon=polygon, \\\n",
    "                                                   wireframe=wireframe,frame=frame,color=label_to_color(label)) \n",
    "        from sage.modules.free_module_element import vector\n",
    "        p.frame_aspect_ratio(tuple(vector(p.bounding_box()[1])-vector(p.bounding_box()[0])))\n",
    "        return p\n",
    "\n",
    "    def __call__(self,o):\n",
    "        r\"\"\"\n",
    "        This method is used to convert from an object on the surface to an object in space.\n",
    "        \n",
    "        Currently works with \n",
    "        - StraightLineTrajectory -- returns the corresponding list of points in space\n",
    "        - SegmentInPolygon -- returns the corresponding pair of points in space\n",
    "        - SimilaritySurfaceTangentVector -- returns a pair of points corresponding to the image point and image of the tangent vector.\n",
    "        \"\"\"\n",
    "        \n",
    "        if isinstance(o, StraightLineTrajectory):\n",
    "            points=[]\n",
    "            it = iter(o.segments())\n",
    "            s=it.next()\n",
    "            label = s.polygon_label()\n",
    "            m,t = self.transformation(label)\n",
    "            \n",
    "            points.append(t + m*s.start().point())\n",
    "            points.append(t + m*s.end().point())\n",
    "            for s in it:\n",
    "                label = s.polygon_label()\n",
    "                m,t = self.transformation(label)\n",
    "                points.append(t + m*s.end().point())\n",
    "            return points\n",
    "        if isinstance(o, SegmentInPolygon):\n",
    "            # Return the pair of images of the endpoints.\n",
    "            label = o.polygon_label()\n",
    "            m,t = self.transformation(label)\n",
    "            return ( t+m*o.start().point(), t+m*o.end().point() )\n",
    "        if isinstance(o,SimilaritySurfaceTangentVector):\n",
    "            # Map to a pair of vectors consisting of the image of the basepoint and the image of the vector.\n",
    "            label = o.polygon_label()\n",
    "            m,t = self.transformation(label)\n",
    "            point = o.point()\n",
    "            vector = o.vector()\n",
    "            return (t + m*point, m*vector)\n",
    "        raise ValueError(\"Failed to recognize type of passed object\")    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "from flatsurf.geometry.surface import Surface\n",
    "from flatsurf.geometry.polygon import Polygons\n",
    "from flatsurf.geometry.similarity import SimilarityGroup\n",
    "class CubeSurf(Surface):\n",
    "    def __init__(self,F):\n",
    "        ZZ3=IntegerModRing(3)\n",
    "        P=Polygons(F)\n",
    "        self._faceA=P(vertices=[(0,0),(1,0),(1,1),(0,1)])\n",
    "        self._faceB=P(vertices=[(0,0),(1,0),(1,1),(0,1)])\n",
    "        self._faceC=P(vertices=[(0,0),(1,0),(1,1),(0,1)])\n",
    "        Surface.__init__(self,F,(ZZ(0),ZZ(0),ZZ3(0)), finite=False)\n",
    "    def polygon(self, label):\n",
    "        x,y,l=label\n",
    "        if l==0:\n",
    "            return self._faceA\n",
    "        if l==1:\n",
    "            return self._faceB\n",
    "        if l==2:\n",
    "            return self._faceC\n",
    "    def opposite_edge(self,label,edge):\n",
    "        x,y,l=label\n",
    "        ## l(0)=A l(1)=B l(2)=C\n",
    "        if l==0:\n",
    "            if edge==0:\n",
    "                return((x,y-1,l+2),2)\n",
    "            if edge==1:\n",
    "                return((x,y,l+1),3)\n",
    "            if edge==2:\n",
    "                return((x,y,l+2),0)\n",
    "            if edge==3:\n",
    "                return((x-1,y,l+1),1)\n",
    "        if l==1:\n",
    "            if edge==0:\n",
    "                return((x+1,y-1,l+1),3)\n",
    "            if edge==1:\n",
    "                return((x+1,y,l+2),3)\n",
    "            if edge==2:\n",
    "                return((x,y,l+1),1)\n",
    "            if edge==3:\n",
    "                return((x,y,l+2),1)\n",
    "        if l==2:\n",
    "            if edge==0:\n",
    "                return((x,y,l+1),2)\n",
    "            if edge==1:\n",
    "                return((x,y,l+2),2)\n",
    "            if edge==2:\n",
    "                return((x,y+1,l+1),0)\n",
    "            if edge==3:\n",
    "                return((x-1,y+1,l+2),0)\n",
    "SG=SimilarityGroup(QQ)\n",
    "def default_position(label):\n",
    "    x,y,l = label\n",
    "    if(ZZ(l)==0):\n",
    "        return SG(2*x,2*y) #(b+c)x,(a+c)y\n",
    "    if(ZZ(l)==1):\n",
    "        return SG(2*x+1,2*y) #(b+c)x + c, (a+c)y\n",
    "    if(ZZ(l)==2):\n",
    "        return SG(2*x,2*y+1) #(b+c)x, (a+c)y + c\n",
    "    ##Reminder to parameterize a,b,c here for positions.\n",
    "    ##Rework this to work for surfaces of different sizes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "s=SimilaritySurface(CubeSurf(QQ))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "MM=matrix(QQ,[\n",
    "    [0,1,0],\n",
    "    [-1,0,0],\n",
    "    [0,0,1]\n",
    "])\n",
    "def transformation(label):\n",
    "    M=MatrixSpace(QQ,3,2)\n",
    "    V=VectorSpace(QQ,3)\n",
    "    x,y,l=label\n",
    "    if l==0:\n",
    "        return MM*M([[1,0],[0,1],[0,0]]),MM*V([x,y,-x-y])\n",
    "    elif l==1:\n",
    "        return MM*M([[0,0],[0,1],[-1,0]]),MM*V([x+1,y,-x-y])\n",
    "    else: # l==2\n",
    "        return MM*M([[1,0],[0,0],[0,-1]]),MM*V([x,y+1,-x-y])\n",
    "m=SurfaceToSpaceMapping(s,transformation)\n",
    "def label_to_color(label):\n",
    "    if label[2]==0:\n",
    "        return \"pink\"\n",
    "    if label[2]==1:\n",
    "        return \"yellow\"\n",
    "    if label[2]==2:\n",
    "        return \"beige\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
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       "  '2',\n",
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       "  '3',\n",
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       "  'draw line_39 diameter 1 curve {3.0 -2.25 3.0}  {-3.0 -2.25 3.0} ',\n",
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       "  'color $line_40 translucent 0.5 [0,0,0]',\n",
       "  'draw line_41 diameter 1 curve {-3.0 2.25 -3.0}  {-3.0 2.25 3.0} ',\n",
       "  'color $line_41 translucent 0.5 [0,0,0]',\n",
       "  'draw line_42 diameter 1 curve {3.0 -2.25 -3.0}  {3.0 -2.25 3.0} ',\n",
       "  'color $line_42 translucent 0.5 [0,0,0]',\n",
       "  'draw line_43 diameter 1 curve {3.0 2.25 -3.0}  {3.0 2.25 3.0} ',\n",
       "  'color $line_43 translucent 0.5 [0,0,0]',\n",
       "  'select atomno = 1',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;-2.0&quot;',\n",
       "  'select atomno = 2',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;0.0&quot;',\n",
       "  'select atomno = 3',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;2.0&quot;',\n",
       "  'select atomno = 4',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;-2.0&quot;',\n",
       "  'select atomno = 5',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;-0.5&quot;',\n",
       "  'select atomno = 6',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;1.0&quot;',\n",
       "  'select atomno = 7',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;-2.0&quot;',\n",
       "  'select atomno = 8',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;0.0&quot;',\n",
       "  'select atomno = 9',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;2.0&quot;',\n",
       "  'isosurface fullylit; pmesh o* fullylit; set antialiasdisplay on;',\n",
       "].join('\\n');;\n",
       "    var Info = {\n",
       "      width: '100%',\n",
       "      height: '500',\n",
       "      debug: false,\n",
       "      disableInitialConsole: true,   // very slow when used with inline mesh\n",
       "      color: '#3131ff',\n",
       "      addSelectionOptions: false,\n",
       "      use: 'HTML5',\n",
       "      j2sPath: '/nbextensions/jsmol/j2s',\n",
       "      script: script,\n",
       "    };\n",
       "    var jmolApplet0 = Jmol.getApplet('jmolApplet0', Info);\n",
       "  </script>\n",
       "</body>\n",
       "</html>\n",
       "\" \n",
       "        width=\"100%\"\n",
       "        height=\"500\"\n",
       "        style=\"border: 0;\">\n",
       "</iframe>\n"
      ],
      "text/plain": [
       "Graphics3d Object"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "it = s.label_iterator()\n",
    "m.plot({it.next() for i in xrange(30)},label_to_color=label_to_color)"
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    "<b>Theorem (Pavel Javornik)</b> A trajectory of rational slope (measured on one of the squares interpretted tohave horizontal and vertical sides) on the Necker Cube Surface closes up if and only if the slope can be expressed as the ratio of two odd integers."
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    "B=s.tangent_bundle()"
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    "The following builds a trajectory starting in the base polygon at the point $(\\frac{1}{4}, \\frac{1}{4})$ and traveling in a direction of slope one."
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   "execution_count": 34,
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     "text": [
      "The trajectory closed up.\n"
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       "  '27',\n",
       "  '11',\n",
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       "  'select atomno = 1',\n",
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       "  'select atomno = 2',\n",
       "  'color atom  [76,76,76]',\n",
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       "  'select atomno = 3',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;1.0&quot;',\n",
       "  'select atomno = 4',\n",
       "  'color atom  [76,76,76]',\n",
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       "  'select atomno = 5',\n",
       "  'color atom  [76,76,76]',\n",
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       "  'select atomno = 6',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;1.0&quot;',\n",
       "  'select atomno = 7',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;-0.0&quot;',\n",
       "  'select atomno = 8',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;1.0&quot;',\n",
       "  'select atomno = 9',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;2.0&quot;',\n",
       "  'isosurface fullylit; pmesh o* fullylit; set antialiasdisplay on;',\n",
       "].join('\\n');;\n",
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       "      debug: false,\n",
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       "      j2sPath: '/nbextensions/jsmol/j2s',\n",
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       "    };\n",
       "    var jmolApplet0 = Jmol.getApplet('jmolApplet0', Info);\n",
       "  </script>\n",
       "</body>\n",
       "</html>\n",
       "\" \n",
       "        width=\"100%\"\n",
       "        height=\"500\"\n",
       "        style=\"border: 0;\">\n",
       "</iframe>\n"
      ],
      "text/plain": [
       "Graphics3d Object"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v=B(s.base_label(),(1/4,1/4),(-1,1))\n",
    "traj=v.straight_line_trajectory()\n",
    "traj.flow(100)\n",
    "if traj.is_closed():\n",
    "    print(\"The trajectory closed up.\")\n",
    "labels=[seg.polygon_label() for seg in traj.segments()]\n",
    "m.plot(labels,label_to_color=label_to_color)+line3d(m(traj),radius=0.02)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "A trajectory of slope $5/4$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
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       "  'isosurface fullylit; pmesh o* fullylit; set antialiasdisplay on;',\n",
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       "</iframe>\n"
      ],
      "text/plain": [
       "Graphics3d Object"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v=B(s.base_label(),(1/3,1/4),(4,5))\n",
    "traj=v.straight_line_trajectory()\n",
    "traj.flow(50)\n",
    "labels=[seg.polygon_label() for seg in traj.segments()]\n",
    "p=m.plot(labels,label_to_color=label_to_color)+line3d(m(traj),radius=0.04,label_to_color=label_to_color)\n",
    "p.frame_aspect_ratio(tuple(vector(p.bounding_box()[1])-vector(p.bounding_box()[0])))\n",
    "p"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "A trajectory of slope $11/9$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "v=B(s.base_label(),(1/3,1/4),(9,11))\n",
    "traj=v.straight_line_trajectory()\n",
    "traj.flow(1000)\n",
    "while not traj.is_closed():\n",
    "    traj.flow(1000)\n",
    "labels=[seg.polygon_label() for seg in traj.segments()]\n",
    "p=m.plot(labels,label_to_color=label_to_color)+line3d(m(traj),radius=0.04)\n",
    "#p"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
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INOfoU0Zj4MUXKxWKottu6+BiMtzxtoOtX350GIDz2mcglpFKval4wSGJ3BM6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v0y3ciGeCq7ffziAwNjI9fGqwadIgIw6WYEAOjvA4bJI0ktAAiEz2RaZrefVevzzIxVr69kWZts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      "text/plain": [
       "Graphics3d Object"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show(p,frame=False,viewer=\"tachyon\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "#show(p,frame=False)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "SageMath 8.0",
   "language": "",
   "name": "sagemath"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}