diff --git a/Alpha_complex.ipynb b/Alpha_complex.ipynb
new file mode 100644
index 0000000..0c7d9a3
--- /dev/null
+++ b/Alpha_complex.ipynb
@@ -0,0 +1,488 @@
+{
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+   "metadata": {},
+   "outputs": [
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+       "  Widgets Documentation</a> for setup instructions.\n",
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+       "<p>\n",
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+       "  rendering on GitHub or <a href=\"https://nbviewer.jupyter.org/\">NBViewer</a>),\n",
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+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import gudhi\n",
+    "points = gudhi.read_off(off_file = '/home/vincentrouvreau/3sphere.off')\n",
+    "import ipyvolume as ipv\n",
+    "import numpy as np\n",
+    "ipv.quickscatter(np.asarray([point[0] for point in points]),\n",
+    "                 np.asarray([point[1] for point in points]),\n",
+    "                 np.asarray([point[2] for point in points]),\n",
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+  {
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+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [
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+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "ipv.quickscatter(np.asarray([point[1] for point in points]),\n",
+    "                 np.asarray([point[2] for point in points]),\n",
+    "                 np.asarray([point[3] for point in points]),\n",
+    "                 size=1, marker=\"sphere\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
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+       "<p>Failed to display Jupyter Widget of type <code>VBox</code>.</p>\n",
+       "<p>\n",
+       "  If you're reading this message in Jupyter Notebook or JupyterLab, it may mean\n",
+       "  that the widgets JavaScript is still loading. If this message persists, it\n",
+       "  likely means that the widgets JavaScript library is either not installed or\n",
+       "  not enabled. See the <a href=\"https://ipywidgets.readthedocs.io/en/stable/user_install.html\">Jupyter\n",
+       "  Widgets Documentation</a> for setup instructions.\n",
+       "</p>\n",
+       "<p>\n",
+       "  If you're reading this message in another notebook frontend (for example, a static\n",
+       "  rendering on GitHub or <a href=\"https://nbviewer.jupyter.org/\">NBViewer</a>),\n",
+       "  it may mean that your frontend doesn't currently support widgets.\n",
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+       "       -0.908089  , -0.752582  , -0.753455  ,  0.266271  ,  0.149579  ,\n",
+       "       -0.338652  ,  0.442002  ,  0.388071  , -0.458166  ,  0.68899   ,\n",
+       "       -0.744157  , -0.192704  , -0.0327532 , -0.402617  , -0.829593  ,\n",
+       "        0.274358  ,  0.0415658 , -0.903696  , -0.252948  ,  0.109792  ,\n",
+       "        0.339145  ,  0.762518  , -0.178603  , -0.571663  , -0.357621  ,\n",
+       "       -0.517871  ,  0.158441  ,  0.623641  ,  0.985535  ,  0.191963  ,\n",
+       "       -0.543443  ,  0.00793894, -0.810282  , -0.0747706 , -0.758873  ,\n",
+       "       -0.421931  , -0.328157  , -0.881318  ,  0.967728  , -0.482151  ,\n",
+       "       -0.139506  ,  0.0862848 ,  0.365321  ,  0.403205  , -0.0044689 ,\n",
+       "       -0.0909381 ,  0.482766  ,  0.722411  ,  0.0832989 , -0.668855  ,\n",
+       "       -0.349342  , -0.693456  ,  0.859065  , -0.182082  , -0.363874  ,\n",
+       "       -0.181777  , -0.717043  ,  0.0581814 ,  0.0187447 ,  0.399444  ,\n",
+       "        0.0704853 , -0.46851   , -0.876351  , -0.778932  ,  0.216811  ,\n",
+       "        0.491402  , -0.494723  ,  0.821716  , -0.365052  ,  0.00409762,\n",
+       "        0.613196  ,  0.0537735 ,  0.196925  , -0.166953  ,  0.274203  ,\n",
+       "       -0.659176  , -0.140836  ,  0.916613  , -0.0170113 ,  0.587305  ]), y=array([-0.952605  ,  0.563542  , -0.109547  , -0.178261  ,  0.713174  ,\n",
+       "        0.369753  ,  0.355714  ,  0.108612  , -0.450527  ,  0.547159  ,\n",
+       "        0.0682547 ,  0.546822  ,  0.943234  ,  0.443576  , -0.255562  ,\n",
+       "        0.722362  , -0.213253  ,  0.271801  , -0.830188  , -0.610396  ,\n",
+       "        0.0115114 ,  0.613579  , -0.0695334 ,  0.521203  ,  0.398867  ,\n",
+       "        0.623094  , -0.507114  , -0.478044  ,  0.38492   ,  0.612048  ,\n",
+       "        0.481239  , -0.370303  , -0.649931  ,  0.265706  ,  0.456567  ,\n",
+       "        0.900622  , -0.0636756 ,  0.109187  , -0.626751  ,  0.587509  ,\n",
+       "        0.288573  ,  0.622927  ,  0.19497   ,  0.658987  ,  0.391536  ,\n",
+       "       -0.18455   ,  0.634788  , -0.369075  ,  0.0242516 ,  0.297119  ,\n",
+       "        0.833996  , -0.124489  , -0.52623   ,  0.923771  , -0.337641  ,\n",
+       "        0.521144  ,  0.854921  ,  0.00430827, -0.0504919 , -0.869787  ,\n",
+       "        0.00245656, -0.897252  ,  0.664592  ,  0.598977  , -0.257932  ,\n",
+       "        0.0251529 ,  0.365213  , -0.43816   , -0.128695  ,  0.0512133 ,\n",
+       "       -0.113277  ,  0.121099  , -0.158573  , -0.242795  , -0.880941  ,\n",
+       "       -0.207091  , -0.124931  ,  0.246725  , -0.506331  ,  0.654923  ,\n",
+       "       -0.428703  , -0.259249  , -0.0145109 , -0.0332994 , -0.755135  ,\n",
+       "       -0.725989  , -0.484729  , -0.463548  , -0.153045  , -0.836881  ,\n",
+       "       -0.339336  , -0.253251  , -0.499219  ,  0.803425  ,  0.795925  ,\n",
+       "       -0.589685  , -0.00236649, -0.0975788 , -0.190945  ,  0.612356  ]), z=array([ 0.0755862, -0.414068 , -0.941964 ,  0.784104 , -0.297657 ,\n",
+       "        0.126817 , -0.827507 ,  0.130894 ,  0.249759 ,  0.461251 ,\n",
+       "        0.43835  ,  0.749247 ,  0.214424 ,  0.842731 , -0.0298268,\n",
+       "       -0.688111 , -0.881251 ,  0.487384 , -0.350731 , -0.3408   ,\n",
+       "       -0.394324 , -0.124489 , -0.566445 , -0.608245 , -0.828898 ,\n",
+       "        0.659172 ,  0.228584 ,  0.661598 ,  0.378329 , -0.0337275,\n",
+       "        0.455306 , -0.299281 , -0.696971 , -0.435026 ,  0.162041 ,\n",
+       "       -0.257807 , -0.113121 ,  0.387112 , -0.699743 , -0.604522 ,\n",
+       "        0.563006 ,  0.17217  ,  0.781575 , -0.206172 , -0.738683 ,\n",
+       "        0.0254707,  0.0505034,  0.420511 ,  0.166574 ,  0.303201 ,\n",
+       "        0.0950602, -0.27739  ,  0.186158 ,  0.108603 ,  0.449844 ,\n",
+       "        0.109111 , -0.398833 , -0.156129 ,  0.216651 , -0.099269 ,\n",
+       "       -0.981873 ,  0.0363772, -0.569262 ,  0.610177 , -0.906609 ,\n",
+       "       -0.930174 , -0.658168 , -0.325642 ,  0.720564 ,  0.720269 ,\n",
+       "       -0.655059 , -0.432545 , -0.421814 ,  0.820991 , -0.302527 ,\n",
+       "       -0.889545 ,  0.0644558, -0.899271 ,  0.844585 ,  0.322746 ,\n",
+       "       -0.452376 , -0.408744 ,  0.0220233,  0.286943 ,  0.234593 ,\n",
+       "       -0.279485 ,  0.658907 , -0.25173  , -0.842628 ,  0.507543 ,\n",
+       "       -0.712365 ,  0.130709 , -0.731078 ,  0.218899 , -0.10267  ,\n",
+       "        0.450375 ,  0.635132 ,  0.371159 ,  0.762739 ,  0.52917  ]))], style={'axes': {'ticklabel': {'color': 'black'}, 'color': 'black', 'visible': True, 'label': {'color': 'black'}}, 'background-color': 'white', 'box': {'visible': True}}, tf=None, width=400, xlim=[-0.957277, 1.0], ylim=[-0.952605, 1.0], zlim=[-0.981873, 1.0]),))"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "ipv.quickscatter(np.asarray([point[2] for point in points]),\n",
+    "                 np.asarray([point[3] for point in points]),\n",
+    "                 np.asarray([point[0] for point in points]),\n",
+    "                 size=1, marker=\"sphere\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "100"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "len(points)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[0.0755862, -0.227917, 0.186774, -0.952605]"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "points[0]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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g8Xvf+x5///vfOXHiBN/4xjfIzs72lXquK6QVEs3sRjPbaWYfmdkv6tne28z+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\nqUXBgYiIiNTy/wOkcPwesfgr5gAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x7f5acabe92b0>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import matplotlib.patches as mpatches\n",
+    "\n",
+    "alpha_complex = gudhi.AlphaComplex(points=points)\n",
+    "simplex_tree = alpha_complex.create_simplex_tree()\n",
+    "diag = simplex_tree.persistence()\n",
+    "plt = gudhi.plot_persistence_diagram(diag, max_plots=100)\n",
+    "\n",
+    "# some legends\n",
+    "dim0 = mpatches.Patch(color='#ff0000', label='Dimension 0')\n",
+    "dim1 = mpatches.Patch(color='#00ff00', label='Dimension 1')\n",
+    "dim2 = mpatches.Patch(color='#0000ff', label='Dimension 2')\n",
+    "dim3 = mpatches.Patch(color='#00ffff', label='Dimension 3')\n",
+    "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0., handles=[dim0, dim1, dim2, dim3])\n",
+    "\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "7099"
+      ]
+     },
+     "execution_count": 8,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "simplex_tree.num_simplices()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# max_edge_length\n",
+    "rips_complex = gudhi.RipsComplex(points=points)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "79375495"
+      ]
+     },
+     "execution_count": 13,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "stree = rips_complex.create_simplex_tree(max_dimension=4)\n",
+    "stree.num_simplices()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "diag = stree.persistence()\n",
+    "plt = gudhi.plot_persistence_diagram(diag, max_plots=100)\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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cp5KOydy8BFhTw/jySvRdff4YmAUgaQawLSI21yqwHOtzn2bPoUg6l+RLs033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\nYGa/574AAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x7fc335d7b3c8>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.show()"
+   ]
+  }
+ ],
+ "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": "3.5.2"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/BottleneckDistance.ipynb b/BottleneckDistance.ipynb
new file mode 100644
index 0000000..52f98fb
--- /dev/null
+++ b/BottleneckDistance.ipynb
@@ -0,0 +1,517 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "\n",
+       "    <div class=\"bk-root\">\n",
+       "        <a href=\"https://bokeh.pydata.org\" target=\"_blank\" class=\"bk-logo bk-logo-small bk-logo-notebook\"></a>\n",
+       "        <span id=\"eea0009b-d35e-494d-a6d5-094996fd1099\">Loading BokehJS ...</span>\n",
+       "    </div>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/javascript": [
+       "\n",
+       "(function(root) {\n",
+       "  function now() {\n",
+       "    return new Date();\n",
+       "  }\n",
+       "\n",
+       "  var force = true;\n",
+       "\n",
+       "  if (typeof (root._bokeh_onload_callbacks) === \"undefined\" || force === true) {\n",
+       "    root._bokeh_onload_callbacks = [];\n",
+       "    root._bokeh_is_loading = undefined;\n",
+       "  }\n",
+       "\n",
+       "  var JS_MIME_TYPE = 'application/javascript';\n",
+       "  var HTML_MIME_TYPE = 'text/html';\n",
+       "  var EXEC_MIME_TYPE = 'application/vnd.bokehjs_exec.v0+json';\n",
+       "  var CLASS_NAME = 'output_bokeh rendered_html';\n",
+       "\n",
+       "  /**\n",
+       "   * Render data to the DOM node\n",
+       "   */\n",
+       "  function render(props, node) {\n",
+       "    var script = document.createElement(\"script\");\n",
+       "    node.appendChild(script);\n",
+       "  }\n",
+       "\n",
+       "  /**\n",
+       "   * Handle when an output is cleared or removed\n",
+       "   */\n",
+       "  function handleClearOutput(event, handle) {\n",
+       "    var cell = handle.cell;\n",
+       "\n",
+       "    var id = cell.output_area._bokeh_element_id;\n",
+       "    var server_id = cell.output_area._bokeh_server_id;\n",
+       "    // Clean up Bokeh references\n",
+       "    if (id !== undefined) {\n",
+       "      Bokeh.index[id].model.document.clear();\n",
+       "      delete Bokeh.index[id];\n",
+       "    }\n",
+       "\n",
+       "    if (server_id !== undefined) {\n",
+       "      // Clean up Bokeh references\n",
+       "      var cmd = \"from bokeh.io import _state; print(_state.uuid_to_server['\" + server_id + \"'].get_sessions()[0].document.roots[0]._id)\";\n",
+       "      cell.notebook.kernel.execute(cmd, {\n",
+       "        iopub: {\n",
+       "          output: function(msg) {\n",
+       "            var element_id = msg.content.text.trim();\n",
+       "            Bokeh.index[element_id].model.document.clear();\n",
+       "            delete Bokeh.index[element_id];\n",
+       "          }\n",
+       "        }\n",
+       "      });\n",
+       "      // Destroy server and session\n",
+       "      var cmd = \"from bokeh import io; io._destroy_server('\" + server_id + \"')\";\n",
+       "      cell.notebook.kernel.execute(cmd);\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  /**\n",
+       "   * Handle when a new output is added\n",
+       "   */\n",
+       "  function handleAddOutput(event, handle) {\n",
+       "    var output_area = handle.output_area;\n",
+       "    var output = handle.output;\n",
+       "\n",
+       "    // limit handleAddOutput to display_data with EXEC_MIME_TYPE content only\n",
+       "    if ((output.output_type != \"display_data\") || (!output.data.hasOwnProperty(EXEC_MIME_TYPE))) {\n",
+       "      return\n",
+       "    }\n",
+       "\n",
+       "    var toinsert = output_area.element.find(`.${CLASS_NAME.split(' ')[0]}`);\n",
+       "\n",
+       "    if (output.metadata[EXEC_MIME_TYPE][\"id\"] !== undefined) {\n",
+       "      toinsert[0].firstChild.textContent = output.data[JS_MIME_TYPE];\n",
+       "      // store reference to embed id on output_area\n",
+       "      output_area._bokeh_element_id = output.metadata[EXEC_MIME_TYPE][\"id\"];\n",
+       "    }\n",
+       "    if (output.metadata[EXEC_MIME_TYPE][\"server_id\"] !== undefined) {\n",
+       "      var bk_div = document.createElement(\"div\");\n",
+       "      bk_div.innerHTML = output.data[HTML_MIME_TYPE];\n",
+       "      var script_attrs = bk_div.children[0].attributes;\n",
+       "      for (var i = 0; i < script_attrs.length; i++) {\n",
+       "        toinsert[0].firstChild.setAttribute(script_attrs[i].name, script_attrs[i].value);\n",
+       "      }\n",
+       "      // store reference to server id on output_area\n",
+       "      output_area._bokeh_server_id = output.metadata[EXEC_MIME_TYPE][\"server_id\"];\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  function register_renderer(events, OutputArea) {\n",
+       "\n",
+       "    function append_mime(data, metadata, element) {\n",
+       "      // create a DOM node to render to\n",
+       "      var toinsert = this.create_output_subarea(\n",
+       "        metadata,\n",
+       "        CLASS_NAME,\n",
+       "        EXEC_MIME_TYPE\n",
+       "      );\n",
+       "      this.keyboard_manager.register_events(toinsert);\n",
+       "      // Render to node\n",
+       "      var props = {data: data, metadata: metadata[EXEC_MIME_TYPE]};\n",
+       "      render(props, toinsert[0]);\n",
+       "      element.append(toinsert);\n",
+       "      return toinsert\n",
+       "    }\n",
+       "\n",
+       "    /* Handle when an output is cleared or removed */\n",
+       "    events.on('clear_output.CodeCell', handleClearOutput);\n",
+       "    events.on('delete.Cell', handleClearOutput);\n",
+       "\n",
+       "    /* Handle when a new output is added */\n",
+       "    events.on('output_added.OutputArea', handleAddOutput);\n",
+       "\n",
+       "    /**\n",
+       "     * Register the mime type and append_mime function with output_area\n",
+       "     */\n",
+       "    OutputArea.prototype.register_mime_type(EXEC_MIME_TYPE, append_mime, {\n",
+       "      /* Is output safe? */\n",
+       "      safe: true,\n",
+       "      /* Index of renderer in `output_area.display_order` */\n",
+       "      index: 0\n",
+       "    });\n",
+       "  }\n",
+       "\n",
+       "  // register the mime type if in Jupyter Notebook environment and previously unregistered\n",
+       "  if (root.Jupyter !== undefined) {\n",
+       "    var events = require('base/js/events');\n",
+       "    var OutputArea = require('notebook/js/outputarea').OutputArea;\n",
+       "\n",
+       "    if (OutputArea.prototype.mime_types().indexOf(EXEC_MIME_TYPE) == -1) {\n",
+       "      register_renderer(events, OutputArea);\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  \n",
+       "  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n",
+       "    root._bokeh_timeout = Date.now() + 5000;\n",
+       "    root._bokeh_failed_load = false;\n",
+       "  }\n",
+       "\n",
+       "  var NB_LOAD_WARNING = {'data': {'text/html':\n",
+       "     \"<div style='background-color: #fdd'>\\n\"+\n",
+       "     \"<p>\\n\"+\n",
+       "     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n",
+       "     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
+       "     \"</p>\\n\"+\n",
+       "     \"<ul>\\n\"+\n",
+       "     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n",
+       "     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n",
+       "     \"</ul>\\n\"+\n",
+       "     \"<code>\\n\"+\n",
+       "     \"from bokeh.resources import INLINE\\n\"+\n",
+       "     \"output_notebook(resources=INLINE)\\n\"+\n",
+       "     \"</code>\\n\"+\n",
+       "     \"</div>\"}};\n",
+       "\n",
+       "  function display_loaded() {\n",
+       "    var el = document.getElementById(\"eea0009b-d35e-494d-a6d5-094996fd1099\");\n",
+       "    if (el != null) {\n",
+       "      el.textContent = \"BokehJS is loading...\";\n",
+       "    }\n",
+       "    if (root.Bokeh !== undefined) {\n",
+       "      if (el != null) {\n",
+       "        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n",
+       "      }\n",
+       "    } else if (Date.now() < root._bokeh_timeout) {\n",
+       "      setTimeout(display_loaded, 100)\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "\n",
+       "  function run_callbacks() {\n",
+       "    try {\n",
+       "      root._bokeh_onload_callbacks.forEach(function(callback) { callback() });\n",
+       "    }\n",
+       "    finally {\n",
+       "      delete root._bokeh_onload_callbacks\n",
+       "    }\n",
+       "    console.info(\"Bokeh: all callbacks have finished\");\n",
+       "  }\n",
+       "\n",
+       "  function load_libs(js_urls, callback) {\n",
+       "    root._bokeh_onload_callbacks.push(callback);\n",
+       "    if (root._bokeh_is_loading > 0) {\n",
+       "      console.log(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n",
+       "      return null;\n",
+       "    }\n",
+       "    if (js_urls == null || js_urls.length === 0) {\n",
+       "      run_callbacks();\n",
+       "      return null;\n",
+       "    }\n",
+       "    console.log(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
+       "    root._bokeh_is_loading = js_urls.length;\n",
+       "    for (var i = 0; i < js_urls.length; i++) {\n",
+       "      var url = js_urls[i];\n",
+       "      var s = document.createElement('script');\n",
+       "      s.src = url;\n",
+       "      s.async = false;\n",
+       "      s.onreadystatechange = s.onload = function() {\n",
+       "        root._bokeh_is_loading--;\n",
+       "        if (root._bokeh_is_loading === 0) {\n",
+       "          console.log(\"Bokeh: all BokehJS libraries loaded\");\n",
+       "          run_callbacks()\n",
+       "        }\n",
+       "      };\n",
+       "      s.onerror = function() {\n",
+       "        console.warn(\"failed to load library \" + url);\n",
+       "      };\n",
+       "      console.log(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
+       "      document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
+       "    }\n",
+       "  };var element = document.getElementById(\"eea0009b-d35e-494d-a6d5-094996fd1099\");\n",
+       "  if (element == null) {\n",
+       "    console.log(\"Bokeh: ERROR: autoload.js configured with elementid 'eea0009b-d35e-494d-a6d5-094996fd1099' but no matching script tag was found. \")\n",
+       "    return false;\n",
+       "  }\n",
+       "\n",
+       "  var js_urls = [\"https://cdn.pydata.org/bokeh/release/bokeh-0.12.9.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.12.9.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-tables-0.12.9.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-gl-0.12.9.min.js\"];\n",
+       "\n",
+       "  var inline_js = [\n",
+       "    function(Bokeh) {\n",
+       "      Bokeh.set_log_level(\"info\");\n",
+       "    },\n",
+       "    \n",
+       "    function(Bokeh) {\n",
+       "      \n",
+       "    },\n",
+       "    function(Bokeh) {\n",
+       "      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-0.12.9.min.css\");\n",
+       "      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-0.12.9.min.css\");\n",
+       "      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.12.9.min.css\");\n",
+       "      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.12.9.min.css\");\n",
+       "      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-tables-0.12.9.min.css\");\n",
+       "      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-tables-0.12.9.min.css\");\n",
+       "    }\n",
+       "  ];\n",
+       "\n",
+       "  function run_inline_js() {\n",
+       "    \n",
+       "    if ((root.Bokeh !== undefined) || (force === true)) {\n",
+       "      for (var i = 0; i < inline_js.length; i++) {\n",
+       "        inline_js[i].call(root, root.Bokeh);\n",
+       "      }if (force === true) {\n",
+       "        display_loaded();\n",
+       "      }} else if (Date.now() < root._bokeh_timeout) {\n",
+       "      setTimeout(run_inline_js, 100);\n",
+       "    } else if (!root._bokeh_failed_load) {\n",
+       "      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
+       "      root._bokeh_failed_load = true;\n",
+       "    } else if (force !== true) {\n",
+       "      var cell = $(document.getElementById(\"eea0009b-d35e-494d-a6d5-094996fd1099\")).parents('.cell').data().cell;\n",
+       "      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
+       "    }\n",
+       "\n",
+       "  }\n",
+       "\n",
+       "  if (root._bokeh_is_loading === 0) {\n",
+       "    console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
+       "    run_inline_js();\n",
+       "  } else {\n",
+       "    load_libs(js_urls, function() {\n",
+       "      console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n",
+       "      run_inline_js();\n",
+       "    });\n",
+       "  }\n",
+       "}(window));"
+      ],
+      "application/vnd.bokehjs_load.v0+json": "\n(function(root) {\n  function now() {\n    return new Date();\n  }\n\n  var force = true;\n\n  if (typeof (root._bokeh_onload_callbacks) === \"undefined\" || force === true) {\n    root._bokeh_onload_callbacks = [];\n    root._bokeh_is_loading = undefined;\n  }\n\n  \n\n  \n  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n    root._bokeh_timeout = Date.now() + 5000;\n    root._bokeh_failed_load = false;\n  }\n\n  var NB_LOAD_WARNING = {'data': {'text/html':\n     \"<div style='background-color: #fdd'>\\n\"+\n     \"<p>\\n\"+\n     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n     \"</p>\\n\"+\n     \"<ul>\\n\"+\n     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n     \"</ul>\\n\"+\n     \"<code>\\n\"+\n     \"from bokeh.resources import INLINE\\n\"+\n     \"output_notebook(resources=INLINE)\\n\"+\n     \"</code>\\n\"+\n     \"</div>\"}};\n\n  function display_loaded() {\n    var el = document.getElementById(\"eea0009b-d35e-494d-a6d5-094996fd1099\");\n    if (el != null) {\n      el.textContent = \"BokehJS is loading...\";\n    }\n    if (root.Bokeh !== undefined) {\n      if (el != null) {\n        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n      }\n    } else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(display_loaded, 100)\n    }\n  }\n\n\n  function run_callbacks() {\n    try {\n      root._bokeh_onload_callbacks.forEach(function(callback) { callback() });\n    }\n    finally {\n      delete root._bokeh_onload_callbacks\n    }\n    console.info(\"Bokeh: all callbacks have finished\");\n  }\n\n  function load_libs(js_urls, callback) {\n    root._bokeh_onload_callbacks.push(callback);\n    if (root._bokeh_is_loading > 0) {\n      console.log(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n      return null;\n    }\n    if (js_urls == null || js_urls.length === 0) {\n      run_callbacks();\n      return null;\n    }\n    console.log(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n    root._bokeh_is_loading = js_urls.length;\n    for (var i = 0; i < js_urls.length; i++) {\n      var url = js_urls[i];\n      var s = document.createElement('script');\n      s.src = url;\n      s.async = false;\n      s.onreadystatechange = s.onload = function() {\n        root._bokeh_is_loading--;\n        if (root._bokeh_is_loading === 0) {\n          console.log(\"Bokeh: all BokehJS libraries loaded\");\n          run_callbacks()\n        }\n      };\n      s.onerror = function() {\n        console.warn(\"failed to load library \" + url);\n      };\n      console.log(\"Bokeh: injecting script tag for BokehJS library: \", url);\n      document.getElementsByTagName(\"head\")[0].appendChild(s);\n    }\n  };var element = document.getElementById(\"eea0009b-d35e-494d-a6d5-094996fd1099\");\n  if (element == null) {\n    console.log(\"Bokeh: ERROR: autoload.js configured with elementid 'eea0009b-d35e-494d-a6d5-094996fd1099' but no matching script tag was found. \")\n    return false;\n  }\n\n  var js_urls = [\"https://cdn.pydata.org/bokeh/release/bokeh-0.12.9.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.12.9.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-tables-0.12.9.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-gl-0.12.9.min.js\"];\n\n  var inline_js = [\n    function(Bokeh) {\n      Bokeh.set_log_level(\"info\");\n    },\n    \n    function(Bokeh) {\n      \n    },\n    function(Bokeh) {\n      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-0.12.9.min.css\");\n      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-0.12.9.min.css\");\n      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.12.9.min.css\");\n      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.12.9.min.css\");\n      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-tables-0.12.9.min.css\");\n      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-tables-0.12.9.min.css\");\n    }\n  ];\n\n  function run_inline_js() {\n    \n    if ((root.Bokeh !== undefined) || (force === true)) {\n      for (var i = 0; i < inline_js.length; i++) {\n        inline_js[i].call(root, root.Bokeh);\n      }if (force === true) {\n        display_loaded();\n      }} else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(run_inline_js, 100);\n    } else if (!root._bokeh_failed_load) {\n      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n      root._bokeh_failed_load = true;\n    } else if (force !== true) {\n      var cell = $(document.getElementById(\"eea0009b-d35e-494d-a6d5-094996fd1099\")).parents('.cell').data().cell;\n      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n    }\n\n  }\n\n  if (root._bokeh_is_loading === 0) {\n    console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n    run_inline_js();\n  } else {\n    load_libs(js_urls, function() {\n      console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n      run_inline_js();\n    });\n  }\n}(window));"
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "from bokeh.plotting import figure, show, output_notebook\n",
+    "output_notebook()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Bottleneck distance"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "\n",
+       "<div class=\"bk-root\">\n",
+       "    <div class=\"bk-plotdiv\" id=\"07778293-263f-47ec-8fb6-e74b7649a04d\"></div>\n",
+       "</div>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/javascript": [
+       "(function(root) {\n",
+       "  function embed_document(root) {\n",
+       "    var docs_json = {\"0cc949ce-e183-4264-8539-af129743c557\":{\"roots\":{\"references\":[{\"attributes\":{\"source\":{\"id\":\"c61e0779-8e0b-4989-9ac2-92bd15ed3eae\",\"type\":\"ColumnDataSource\"}},\"id\":\"5e0400b0-dc78-4ac0-8d58-32d61804368c\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"d42e226d-7b10-4826-ad73-43376ccb184d\",\"type\":\"WheelZoomTool\"},{\"attributes\":{\"callback\":null,\"column_names\":[\"x\",\"y\"],\"data\":{\"x\":[-0.660728409435627,-2.0455025488474763,6.105966761158102,0.1562387099200323,-3.479998636211153,3.669662049280282,5.276360382042358,5.8149609049621995,-1.5884825217042615,1.4859308741137478,-2.7895414464028936,6.339610462607656,-2.7389971156752906,-3.4169988254017882,-2.92031217447413,6.4048554363284,-0.5889107493217565,-3.0079292638981925,-0.09986381098331176,1.1517375906608702,0.3213955551175477,-1.8825648058838238,-1.018276256263926,-0.5117393546158583,5.134873282204319,4.278620588319688,3.7956293835590498,-3.8335595968925618,6.050276941368986,-1.9006452686663498],\"y\":[-3.117883890283563,4.8031223759189245,2.536857153432804,6.190317362588123,-0.4644184498413893,-3.0654332157473894,3.934762258166766,3.3780553553639585,5.359594550707474,-3.980863107352891,-1.657016471217231,1.8861506361445,4.05646831909476,3.502475022242015,-1.9117758952691668,1.7309464795911371,-3.4282278058880817,-0.8098580768659704,-3.5134200163035647,6.284043607594644,6.000115235017093,5.534524569071589,-3.346898899769872,5.936770979436756,4.011835030672653,-3.0383714859986304,5.643778335021091,0.821988491267835,0.36277866435180184,-2.6063491973153092]}},\"id\":\"c61e0779-8e0b-4989-9ac2-92bd15ed3eae\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"plot\":{\"id\":\"8db7355b-8c31-4e0f-818c-0275440c31ee\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"0cfa57b8-3f91-45a1-a217-9c4cf973f398\",\"type\":\"BasicTicker\"}},\"id\":\"211ae88e-9b99-4543-b59c-21c2d78a39d8\",\"type\":\"Grid\"},{\"attributes\":{\"active_drag\":\"auto\",\"active_inspect\":\"auto\",\"active_scroll\":\"auto\",\"active_tap\":\"auto\",\"tools\":[{\"id\":\"2d8b2f77-e944-4331-b7b3-2e828355f990\",\"type\":\"PanTool\"},{\"id\":\"d42e226d-7b10-4826-ad73-43376ccb184d\",\"type\":\"WheelZoomTool\"},{\"id\":\"6d70a493-c4f3-4767-b222-e69d2ae26ee8\",\"type\":\"BoxZoomTool\"},{\"id\":\"c0cacd5e-aaff-408d-a3c2-471baa398770\",\"type\":\"SaveTool\"},{\"id\":\"e65e3836-71d1-43cc-bf3c-2c46ff51d5f1\",\"type\":\"ResetTool\"},{\"id\":\"86ebdd82-ab06-4db1-bff2-1739b8b677ed\",\"type\":\"HelpTool\"}]},\"id\":\"1b6f48c8-a770-475f-8045-5eedf591f877\",\"type\":\"Toolbar\"},{\"attributes\":{},\"id\":\"725d28c1-db98-48bd-b9ae-8793f0874e2c\",\"type\":\"LinearScale\"},{\"attributes\":{\"fill_color\":{\"value\":\"navy\"},\"line_color\":{\"value\":\"navy\"},\"size\":{\"units\":\"screen\",\"value\":2},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"80db6327-fa30-474b-afac-ef0715a239c3\",\"type\":\"Circle\"},{\"attributes\":{\"bottom_units\":\"screen\",\"fill_alpha\":{\"value\":0.5},\"fill_color\":{\"value\":\"lightgrey\"},\"left_units\":\"screen\",\"level\":\"overlay\",\"line_alpha\":{\"value\":1.0},\"line_color\":{\"value\":\"black\"},\"line_dash\":[4,4],\"line_width\":{\"value\":2},\"plot\":null,\"render_mode\":\"css\",\"right_units\":\"screen\",\"top_units\":\"screen\"},\"id\":\"2fd02caf-87fb-4d99-9ced-8d42add6ac7c\",\"type\":\"BoxAnnotation\"},{\"attributes\":{\"data_source\":{\"id\":\"c61e0779-8e0b-4989-9ac2-92bd15ed3eae\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"4e273aee-a41f-485d-9757-f931442e4d6f\",\"type\":\"Circle\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"458c5a33-e1b3-49fa-9212-90d68f084b10\",\"type\":\"Circle\"},\"selection_glyph\":null,\"view\":{\"id\":\"5e0400b0-dc78-4ac0-8d58-32d61804368c\",\"type\":\"CDSView\"}},\"id\":\"2c26a570-b5ef-4006-a468-8ef0b93fba03\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.1},\"fill_color\":{\"value\":\"#1f77b4\"},\"line_alpha\":{\"value\":0.1},\"line_color\":{\"value\":\"#1f77b4\"},\"size\":{\"units\":\"screen\",\"value\":2},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"fe650778-5088-47ce-8b29-4aa1949a97f0\",\"type\":\"Circle\"},{\"attributes\":{\"callback\":null,\"column_names\":[\"x\",\"y\"],\"data\":{\"x\":[0.2671150452134961,8.487960324569736,9.121208778940119,9.42871038544737,11.224363870720914,2.7915800109177074,2.5475841653598597,2.30768803411799,0.9157563883399977,0.8570879311305526,10.424875397263994,2.766266624116019,2.4909262664071012,10.167786748401824,0.2545992997301317,9.922741614712379,10.227492877880254,7.506108842763059,7.242093629716353,5.02898953829948,8.214876598953024,11.23139329628768,10.56802982461563,5.417627186042862,4.900069369812551,11.039477152808866,10.644608079008526,8.986943634615441,9.069191628810719,8.088498750478019,4.571235130562765,0.22311226251670496,8.396823358375851,10.314579446933061,7.799765849220153,8.230228941174891,9.966965375450167,2.8934732584772713,1.957027990593455,6.42128146026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Application\",\"version\":\"0.12.9\"}};\n",
+       "    var render_items = [{\"docid\":\"0cc949ce-e183-4264-8539-af129743c557\",\"elementid\":\"07778293-263f-47ec-8fb6-e74b7649a04d\",\"modelid\":\"8db7355b-8c31-4e0f-818c-0275440c31ee\"}];\n",
+       "\n",
+       "    root.Bokeh.embed.embed_items(docs_json, render_items);\n",
+       "  }\n",
+       "\n",
+       "  if (root.Bokeh !== undefined) {\n",
+       "    embed_document(root);\n",
+       "  } else {\n",
+       "    var attempts = 0;\n",
+       "    var timer = setInterval(function(root) {\n",
+       "      if (root.Bokeh !== undefined) {\n",
+       "        embed_document(root);\n",
+       "        clearInterval(timer);\n",
+       "      }\n",
+       "      attempts++;\n",
+       "      if (attempts > 100) {\n",
+       "        console.log(\"Bokeh: ERROR: Unable to embed document because BokehJS library is missing\")\n",
+       "        clearInterval(timer);\n",
+       "      }\n",
+       "    }, 10, root)\n",
+       "  }\n",
+       "})(window);"
+      ],
+      "application/vnd.bokehjs_exec.v0+json": ""
+     },
+     "metadata": {
+      "application/vnd.bokehjs_exec.v0+json": {
+       "id": "8db7355b-8c31-4e0f-818c-0275440c31ee"
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import random_points\n",
+    "circle_1=random_points.circle(radius=5., center=(5.,7.), points_nb=40, epsilon=1.5)\n",
+    "circle_2=random_points.circle(radius=5., center=(1.,1.), points_nb=30, epsilon=0.5)\n",
+    "\n",
+    "p = figure(plot_width=400, plot_height=400)\n",
+    "p.circle([point[0] for point in circle_1], [point[1] for point in circle_1], size=2, color=\"navy\", alpha=1.)\n",
+    "p.circle([point[0] for point in circle_2], [point[1] for point in circle_2], size=2, color=\"red\", alpha=1.)\n",
+    "show(p)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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Rd8Wcb2bnhssjgRuBrVHuU0T6pp70whd1KWY88C0zKyL4I/Jdd/9ZxPsUkV6oJz0ZslqK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\ngfn/t+reDuVZOCEAAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x7feab3f6ecc0>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import gudhi\n",
+    "import sqrt\n",
+    "alpha_1 = gudhi.AlphaComplex(points=circle_1)\n",
+    "stree_1 = alpha_1.create_simplex_tree()\n",
+    "diag_1 = sqrt.diagram(stree_1.persistence())\n",
+    "plt = gudhi.plot_persistence_diagram(diag_1)\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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x6/T6DuBh4LTqRpWdiOhLrx5L0qqc21mZpNOBNwGfr3YsFSDKnIuLlNhPAx4v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\nWgAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x7feab0f09b38>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "alpha_2 = gudhi.AlphaComplex(points=circle_2)\n",
+    "stree_2 = alpha_2.create_simplex_tree()\n",
+    "diag_2 = sqrt.diagram(stree_2.persistence())\n",
+    "plt = gudhi.plot_persistence_diagram(diag_2)\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "0.20367561212545615"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "gudhi.bottleneck_distance(sqrt.interval(stree_1.persistence_intervals_in_dimension(0)),\n",
+    "                          sqrt.interval(stree_2.persistence_intervals_in_dimension(0)))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "0.5556276651924286"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "gudhi.bottleneck_distance(sqrt.interval(stree_1.persistence_intervals_in_dimension(1)),\n",
+    "                          sqrt.interval(stree_2.persistence_intervals_in_dimension(1)))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "0.5556276651924286"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# Bottleneck distance\n",
+    "max(gudhi.bottleneck_distance(sqrt.interval(stree_1.persistence_intervals_in_dimension(0)),\n",
+    "                              sqrt.interval(stree_2.persistence_intervals_in_dimension(0))),\n",
+    "    gudhi.bottleneck_distance(sqrt.interval(stree_1.persistence_intervals_in_dimension(1)),\n",
+    "                              sqrt.interval(stree_2.persistence_intervals_in_dimension(1)))\n",
+    "   )"
+   ]
+  }
+ ],
+ "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": "3.5.2"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 1
+}
diff --git a/GUDHI_NIPS.pdf b/GUDHI_NIPS.pdf
new file mode 100644
index 0000000..51b791e
Binary files /dev/null and b/GUDHI_NIPS.pdf differ
diff --git a/Rips_complex.ipynb b/Rips_complex.ipynb
new file mode 100644
index 0000000..8bd9df6
--- /dev/null
+++ b/Rips_complex.ipynb
@@ -0,0 +1,110 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "6629c443a4194c6bbf2b8c9282f99cf5",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/html": [
+       "<p>Failed to display Jupyter Widget of type <code>VBox</code>.</p>\n",
+       "<p>\n",
+       "  If you're reading this message in Jupyter Notebook or JupyterLab, it may mean\n",
+       "  that the widgets JavaScript is still loading. If this message persists, it\n",
+       "  likely means that the widgets JavaScript library is either not installed or\n",
+       "  not enabled. See the <a href=\"https://ipywidgets.readthedocs.io/en/stable/user_install.html\">Jupyter\n",
+       "  Widgets Documentation</a> for setup instructions.\n",
+       "</p>\n",
+       "<p>\n",
+       "  If you're reading this message in another notebook frontend (for example, a static\n",
+       "  rendering on GitHub or <a href=\"https://nbviewer.jupyter.org/\">NBViewer</a>),\n",
+       "  it may mean that your frontend doesn't currently support widgets.\n",
+       "</p>\n"
+      ],
+      "text/plain": [
+       "VBox(children=(Figure(camera_center=[0.0, 0.0, 0.0], height=500, matrix_projection=[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], matrix_world=[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], scatters=[Scatter(color_selected=array('white', \n",
+       "      dtype='<U5'), geo='sphere', size=array(30), size_selected=array(2.6), x=array([-1.081352, -1.062873, -0.49028 , ...,  0.710297,  1.207701,\n",
+       "        1.279836]), y=array([-0.451815, -0.492063, -0.890039, ...,  0.170562,  0.33245 ,\n",
+       "        0.005212]), z=array([ 0.237511, -0.246058,  0.299674, ...,  0.129136,  0.162218,\n",
+       "        0.106332]))], style={'box': {'visible': True}, 'background-color': 'white', 'axes': {'color': 'black', 'visible': True, 'ticklabel': {'color': 'black'}, 'label': {'color': 'black'}}}, tf=None, width=400, xlim=[-1.298741, 1.29699], ylim=[-1.297935, 1.299333], zlim=[-0.300089, 1.0]),))"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import gudhi\n",
+    "points = gudhi.read_off(off_file = '/home/vincentrouvreau/svn/gudhi/trunk/data/points/tore3D_1307.off')\n",
+    "import ipyvolume as ipv\n",
+    "import numpy as np\n",
+    "ipv.quickscatter(np.asarray([point[0] for point in points]),\n",
+    "                 np.asarray([point[1] for point in points]),\n",
+    "                 np.asarray([point[2] for point in points]),\n",
+    "                 size=30, marker=\"sphere\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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hqedC82jfvv3nZtaAzgnSUrRv377WbhtKGiJxyikNWy4icVGz58L8+fNbRc+F\neKmsrOx+4q0kmShpiMTOnQ1bLiLNTj0XRGJPEyEjUVLSsOUi0mzUc0Gk+ShpiERqasOWi0jMqeeC\nSPPT8EQkdu9u2HIRiSn1XBCJD1UaIrFnT8OWi0hMqOeCSHyp0hCJ9u0btlxEok49F0TiT0lDJCor\nG7ZcRKJGPRdEEoeGJyJx5EjDlotIkx09epRHHnmEnJwczj//fDZu3KiEQSTOVGmIxGWXwRtv1L5c\nRKJOPRdEEpO5e7xjaBIz85h/hpKS2ltGFxdDz56xfW+RVqSsrIyCggIWLVrEnDlzGDVqlC6hjBEz\nw911cqVBNDwRiZ494fe//7YvQ2pq6LUSBpGoUM8FkZZBlYaGKCmBTz6BM85QwiASJeE9F+bOnatL\nKJuJKg3SGKo0NETPnjBokBIGkShQzwWRlkcTIUWk2anngkjLpKRBRJqNei6ItGwxH54ws6vN7EMz\n22Jmv65l/aVm9jczO2JmP6+x7uZgv81mNjrWsYpIbKjngkhyiGmlwcxSgMeAK4ASYK2ZLXb3D8M2\n2wbcDOTX2LczMAX4PmDA34J9y2MZs4hEl3ouiCSPWFcaLgS2uvs2dz8CvAgMDd/A3be7+0ag5iUQ\nVwFvuXu5u+8F3gL0p4lIC1FWVsa4ceMYNmwY+fn5LF++XAmDSAsX66ShF7Aj7PVnwbLG7FvcgH1F\nJE7Uc0EkeWkipIhETXjPhcWLF+sSSpEkE+ukoRjIDHvdO1gW6b6Da+z7x9o2nDp1avXzwYMHM3jw\n4No2E5EYqaysZObMmcydO5d7772XCRMm0Lat/iZJJCtWrGDFihXxDkNauJh2hDSzNsBmQhMhS4E1\nwEh3/6CWbZ8BXnf3V4PXnYG/EpoImRI8HxDMbwjfr/k6QorIccJ7Ljz88MPqudBCqCOkNEZM/xRw\n96/NbCKhSYwpwDx3/8DMpgFr3f11M/sB8BrwHeAaM5vq7v3dvczMZhBKFhyYVjNhEJH4Uc8FkdZH\n954QkQY5evQojz32GPfffz/jx49n8uTJdOjQId5hSQOp0iCNoUFHEYmYei6ItG66YZWInJB6LogI\nKGkQkXqo54KIhNPwhIjUSj0XRKQmVRpE5BiVlZXcc889DBo0iKFDh7JmzRolDCICqNIgImHCey4U\nFRWp54KIHENJg4io54KIRETDEyKt2NGjR3nkkUfIycnh/PPPZ+PGjUoYRKROqjSItFLquSAiDaVK\ng0gro57H/915AAARzUlEQVQLItJYShpEWgn1XBCRptLwhEgroJ4LIhINqjSIJDH1XBCRaIq40mBm\nFwN9wvdx9/kxiElEokA9F0Qk2iJKGszsP4Azgb8DXweLHVDSIJJg1HNBRGIl0krDD4Bsd/dYBiMi\njXf06FEee+wx7r//fsaPH8/8+fPp0KFDvMMSkSQSadKwEegOlMYwFhFpJPVcEJHmUG/SYGZLCQ1D\ndAQ2mdka4FDVene/NrbhiUh9ysrKKCgoYNGiRcyZM4dRo0bpEkoRiZkTVRrmNEsUItIg7s6CBQu4\n6667uO6669i0aROdO3eOd1gikuTqTRrc/W0AM5vt7r8OX2dms4G3YxibiNRCPRdEJF4i7dPwk1qW\n/TSagYhI/dRzQUTi7URzGsYB44EzzGxD2KqOwJ9jGZiIfEs9F0QkEVh9V1GaWSegMzALuDtsVYW7\n74lxbBExM10JKklLPRckVswMd9esWWmQeocn3L3c3T9195Huvg2oJHQ1xSlmltksEYq0QkePHuWR\nRx4hJyeH888/n40bNyphEJG4i7Qj5BDgt0BP4AsgC/gA6Bu70ERaJ/VcEJFEFelEyPuBHwJb3P27\nwBXAX2IWlUgrVFZWxrhx4xg2bBj5+fksX75cCYOIJJRIk4Yj7r4bSDGzFHf/I6HW0iLSRO7Oc889\nR3Z2NmbGpk2buOmmm9SkSUQSTqRtpPea2SnASmCBmX0BfBW7sERaB/VcEJGWJNJKw1DgADAJeBP4\nGBgSq6BEkp16LohISxRRpcHdvzKzLOBsd3/WzNKANrENTSQ5qeeCiLRUkV49MQa4HcgAzgR6AXMJ\nTYgUkQio54KItHSRDk9MAC4B9gG4+1aga6yCEkkm6rkgIski0omQh9z9cNVsbjNrS6jJk4jUQz0X\nRCSZRFppeNvMCoAOZvYT4GVgaezCEmnZ1HNBRJJRpEnD3cCXwHvAWOAN4J5YBSXSUqnngogks3pv\nWHXMhmanAbj7lzGNqIF0wypJFOE9F+bOnatLKCWh6YZV0hj1VhosZKqZ7QI2A5vN7Eszm9I84Ykk\nPvVcEJHW4kTDE78kdNXEQHfPcPcM4CLgEjP7ZcyjE0lwhYWF9OvXjy1btlBUVEReXh5t20Y6v1hE\npGWpd3jCzNYDP3H3XTWWnwa85e7/FOP4TkjDExIP6rkgLZ2GJ6QxTlRpSK2ZMED1vIbU2IQkkrjU\nc0FEWrMT1VEPN3KdSNJRzwURae1ONDzxNbXfzdKA9u4e92qDhick1srKyigoKGDRokXMmTOHUaNG\n6RJKafE0PCGNUe/whLu3cff0Wh4dEyFhEIkl9VwQETmWpnmL1CK858LixYt1CaWICJF3hBRpFdRz\nQUSkbqo0iAQKCwuZOHEiAwYMoKioiF69esU7JBGRhKKkQVo99VwQEYmMhiek1VLPBRGRhlGlQVol\n9VwQEWk4VRqkVSkrK2PcuHEMGzaM/Px8li9froRBRCRCShqkVVDPBRGRptPwhCQ99VwQEYkOVRok\naanngohIdMU8aTCzq83sQzPbYma/rmV9OzN70cy2mtm7ZpYZLM8yswNmti54PBHrWCV5FBYW0q9f\nP7Zs2UJRURF5eXm0bavCmohIU8T0p6iZpQCPAVcAJcBaM1vs7h+GbXYrsMfdzzaz4cC/ASOCdR+5\n+/djGaMkF/VcEBGJnVhXGi4Etrr7Nnc/ArwIDK2xzVDg2eD5K4QSjCqapSYRUc8FEZHYi3W9thew\nI+z1Z4QSiVq3cfevzWyvmWUE6/qY2d+AfcC97v6nGMcrLZB6LoiINI9EHOStqi6UApnuXmZm3wcW\nmVm2u++PY2ySQMrKyigoKGDRokXMmTOHUaNG6RJKEZEYinXSUAxkhr3uHSwL9xlwOlBiZm2AdHff\nE6w7DODu68zsY+AcYF3NN5k6dWr188GDBzN48OAohS+JyN1ZsGABd911F9dddx2bNm2ic+fO8Q5L\nJKGtWLGCFStWxDsMaeHM3WN38FASsJnQPIVSYA0w0t0/CNtmPNDP3ceb2QhgmLuPMLNTCU2Q/MbM\nzgDeBvq7+94a7+Gx/AySWMJ7LsydO1eXUIo0kpnh7irNSYPEdCKku38NTATeAt4HXnT3D8xsmpld\nE2w2DzjVzLYCk4C7g+U/BjaY2TrgJWBszYRBWg/1XBARib+YVhqagyoNya+wsJCJEycyYMAAHn74\nYXr16hXvkERaPFUapDEScSKkCKCeCyIiiUZtpCXhqOeCiEhiUqVBEop6LoiIJC5VGiQhlJWVMW7c\nOIYNG0Z+fj7Lly9XwiAikmCUNEhcuTvPPfcc2dnZmBmbNm3ipptuUpMmEZEEpOEJiZvwnguLFy/W\nJZQiIglOlQZpduq5ICLSMqnSIM0qvOdCUVGRei6IiLQgShqkWajngohIy6fhCYkp9VwQEUkeqjRI\nzKjngohIclGlQaJOPRdERJKTkgaJGvVcEBFJbhqekKhQzwURkeSnSoM0iXouiIi0Hqo0SKOp54KI\nSOuipEEaTD0XRERaJw1PSMTUc0FEpHVTpUEiop4LIiKiSoPUSz0XRESkipIGqZV6LoiISE0anpDj\nqOeCiIjURpUGqaaeCyIiUh9VGgRQzwURETkxJQ2tnHouiIhIpDQ80Uqp54KIiDSUKg2tkHouiIhI\nY6jS0Iqo54KIiDSFkoZWQD0XREQkGjQ8keTUc0FERKJFlYYkpZ4LIiISbao0JCH1XBARkVhQ0pBE\n1HNBRERiScMTSUA9F0REpDmo0tDCqeeCiIg0F1UaWij1XBARkeampKGFUc8FERGJFw1PtCDquSAi\nIvGkSkMLoJ4LIiKSCFRpSHDquSAiIolCSUOCUs8FERFJNBqeSDDquSAiIolKlYYEop4LIiKSyFRp\nSADquSAiIi2BkoY4Us8FERFpSTQ8ESfquSAiIi2NKg3NTD0XRESkpVKloRmp54KIiLRkShqagXou\niIhIMtDwRAyp54KIiCQTVRpiRD0XREQk2ajSEGXquSAiIslKSUOUqOeCiIgku5gPT5jZ1cAjhBKU\nee4+u8b6dsB8YACwCxju7tuDdZOB/wYcBfLc/a1Yx9sY6rkgIiKtQUwrDWaWAjwGXAX0BUaa2Xk1\nNrsV2OPuZxNKLv4t2DcbuBE4H/gp8IQl2J/t6rkgIiKtSayHJy4Etrr7Nnc/ArwIDK2xzVDg2eD5\nK8A/B8+vBV5096Pu/imwNTheQigsLKRfv35s2bKFoqIi8vLyaNtW80pFRCR5xfq3XC9gR9jrzzj+\nF3/1Nu7+tZmVm1lGsPzdsO2Kg2VxpZ4LIiLSWiXiRMiEGoKoop4LIiLS2sW60lAMZIa97h0sC/cZ\ncDpQYmZtgHR332NmxcHy+vYFYOrUqdXPBw8ezODBg5sceDj1XBCRlm7FihWsWLEi3mFIC2fuHruD\nh5KAzcAVQCmwBhjp7h+EbTMe6Ofu481sBDDM3UcEEyEXABcRGpb4P8DZXiNgM6u5KGrKysooKChg\n0aJFzJkzh1GjRukSShFJCmaGu+sHmjRITIcn3P1rYCLwFvA+oYmNH5jZNDO7JthsHnCqmW0FJgF3\nB/tuAl4CNgFvAONjlh0cH7d6LoiIiNQQ00pDc4h2pSG858LcuXN1CaWIJCVVGqQxEnEiZFyo54KI\niEj91FiAUM+FiRMnMmDAAIqKiujVK+5XdoqIiCScVp00qOeCiIhI5Frl8IR6LoiIiDRcq6s0qOeC\niIhI47SaSkNZWRnjxo1j2LBh5Ofns3z5ciUMIiIiDZD0SYN6LoiIiERHUg9PhPdcWLx4sS6hFBER\naYKkrDSo54KIiEj0JV3SUFhYSL9+/diyZQtFRUXk5eXRtm30Ciot4YYviR6j4mu6RI9R8TVdS4hR\nWp+kSRqKi4v5xS9+wcSJE3n88cd56aWXYtKkqSV8Iyd6jIqv6RI9RsXXdC0hRml9kiJpUM8FERGR\n2EuKiZBLly5VzwUREZEYS4q7XMY7BhGRlkh3uZSGavFJg4iIiDSPpJjTICIiIrGnpEFEREQioqQh\njJldbWYfmtkWM/t1LevbmdmLZrbVzN41s8ywdZOD5R+Y2ZWJFJ+Z/Rcz+6uZFZnZWjO7PBbxNSXG\nsPWZZlZhZncmWnxmdoGZ/dnMNgbnsl2ixGdmbc3s92a2wczeN7O7ox1bA2K81Mz+ZmZHzOznNdbd\nHOy32cxGJ1J8ZpYT/P++Z2Z/N7MbEym+sPUdzWyHmT0ai/hE6uXueoTmdaQAHwFZQCrwd+C8GtuM\nA54Ing8HXgyeZwPrCV2N0ic4jiVQfDlA9+B5X+CzRDuHYetfBhYCdyZSfEAboAjoF7zunGD/xyOB\n54PnHYB/AJlxOoeZQD/g98DPw5Z3Bj4GOgHfqXqeQPGdBZwZPO8BlADpiRJf2PpHgOeAR6P9/6uH\nHid6qNLwrQuBre6+zd2PAC8CQ2tsMxR4Nnj+CvDPwfNrCf3wPurunwJbg+PFO74rANy9yN13Bs/f\nB9qbWWqU42tSjABmNhT4BHg/BrE1Nr6q/+MrgSJ33wjg7mXuHu1ZxE2Jz4GTzawNkAYcAvZFOb6I\nYnT37cF5qnl+rgLecvdyd98LvAVEu6lKo+Nz94/c/ePgeSnwBXBaosQHYGYDgK6Ezp1Is1PS8K1e\nwI6w158Fy2rdxt2/BsrNLKOWfYtr2Tce8e0N4qtmZjcA64IfWNHW6BjN7GTgV8A0IFaXgTXl//gc\nADN7MxjquSvB4nsFOACUAp8Cc4JfzPGIMdJ94/V9ckJmdiGQWpVERFGj47PQrXnnAPnE7ntEpF5J\n0dwpjhL9G/eY+MysLzAL+El8wqlVVYxTgYfd/UBw2/JEObdVcbQFLgF+ABwE/q+Z/dXd/xi3yEKq\n4rsQOAp0B7oAK81seVD5kgYwsx7AfCA33rHUMB5Y5u4lCfY9Iq2IkoZvFRMaS6zSO1gW7jPgdKAk\nKAOnu/seMysOlte3b9ziAzCz3sAfgNwY/iJpyjm8CLjezP6N0Nj312ZW6e5PJEh8nwHvuHsZgJm9\nAXwfiGbS0JT4RgFvuvs3wJdmtopQgvNpFOOLNMb69h1cY99oJ11NiQ8z6wi8Dkx297VRjg2aFt+P\ngEFmNh7oCKSaWYW7F0Q5RpE6aXjiW2uBs8wsK5gVPwJYUmObpcDNwfNfAP8veL4EGBHMbP8uoQlV\naxIlPjP7DqEfhL92979EOa6oxOjuP3b3M9z9DEITvR6IcsLQpPiA/wT6m1l7M2sLXAZsSqD4thPM\nbwiGen4IfBjl+CKNMVz4X8P/CfzEzDqZWWdCFa//TJT4gnk+i4Bn3f21KMfV5Pjc/V/cvU/wPZIP\nzFfCIM0u3jMxE+lBaFLWZkITGe8Olk0DrgmenwS8FKz/C9AnbN/JhGZFfwBcmUjxAb8BKoB1hK7y\nWAecmkgx1jjGfcTg6oko/B+PAjYCG4BZiRQfcHKwfGPwiMn5izDGHxAat68AvgTeC9v3X4P9tgCj\nEyk+4CZCE0jDv08uSJT4ahzjZnT1hB5xeKiNtIiIiEREwxMiIiISESUNIiIiEhElDSIiIhIRJQ0i\nIiISESUNIiIiEhElDSIiIhIRJQ0iDWRmX5vZuuD2yX81sx8Gy3uY2Ut17JNlZiPDXt9sZr9rrphF\nRKJBSYNIw33l7t939+8BBcCDELozorvfWHPjoN3zdwk1hwqnJiki0qLo3hMiDRfeGrkTUHV/jyzg\ndXfvb2Y3Az8HTiGUnLcHzjezdYRubb0X6GVmhcAZwCJ3/3UzfgYRkQZT0iDScB2CX/4dCN1V8p/D\n1oVXD/4J6O/u5WZ2GfA/3f1aCA1PADnA94AjwGYze9Tdo32jMxGRqNHwhEjDHQiGJ84Hfgr8Rx3b\n/R93L6/nOP/X3fe7+yFCN7/KinagIiLRpKRBpAk8dNfQU83s1FpWf3WC3Q+FPf8aVf5EJMEpaRBp\nuPDbKZ9H6Pto9wn2qQA6xjIoEZFY0182Ig3XPpjTUJU8jHZ3N7P69tkAfGNm64HfA2U11utKChFJ\neLo1toiIiEREwxMiIiISESUNIiIiEhElDSIiIhIRJQ0iIiISESUNIiIiEhElDSIiIhIRJQ0iIiIS\nESUNIiIiEpH/D8nXy+Ls3R5VAAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x7f49718aa3c8>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import matplotlib.patches as mpatches\n",
+    "\n",
+    "rips_complex = gudhi.RipsComplex(points=points, max_edge_length=0.4)\n",
+    "simplex_tree = rips_complex.create_simplex_tree(max_dimension=3)\n",
+    "diag = simplex_tree.persistence()\n",
+    "plt = gudhi.plot_persistence_diagram(diag, max_plots=100)\n",
+    "\n",
+    "# some legends\n",
+    "dim0 = mpatches.Patch(color='#ff0000', label='Dimension 0')\n",
+    "dim1 = mpatches.Patch(color='#00ff00', label='Dimension 1')\n",
+    "dim2 = mpatches.Patch(color='#0000ff', label='Dimension 2')\n",
+    "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0., handles=[dim0, dim1, dim2])\n",
+    "\n",
+    "plt.show()"
+   ]
+  }
+ ],
+ "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": "3.5.2"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/cubical_function_persistence.ipynb b/cubical_function_persistence.ipynb
new file mode 100644
index 0000000..202a316
--- /dev/null
+++ b/cubical_function_persistence.ipynb
@@ -0,0 +1,107 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAACGCAYAAADJu6HIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ndxzHCQx37I7jOIHhjt1xHCcw/h/+kJbp/tjksQAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x7f167c283550>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "from matplotlib.pyplot import figure, show\n",
+    "\n",
+    "from numpy import arange, sin, pi\n",
+    "\n",
+    "def my_sinusoid(t):\n",
+    "    return 10 - 7*sin(t) - (3 * t)\n",
+    "\n",
+    "t = arange(0.0, 13.0, 13.0/75)\n",
+    "\n",
+    "fig = figure(1)\n",
+    "\n",
+    "signal = my_sinusoid(t)\n",
+    "\n",
+    "ax2 = fig.add_subplot(212)\n",
+    "ax2.plot(t, signal, '.')\n",
+    "ax2.grid(True)\n",
+    "ax2.set_ylim((-35, 10))\n",
+    "ax2.set_xlim((0, 13))\n",
+    "\n",
+    "points=[]\n",
+    "for i in range(0,len(t)):\n",
+    "    points.append(my_sinusoid(t[i]))\n",
+    "\n",
+    "show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x7f1661c9d588>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/plain": [
+       "[(0, (-30.281566498233445, inf)),\n",
+       " (0, (-21.213551105635062, -15.334789869008524)),\n",
+       " (0, (-2.351930856552615, 3.503101508895332))]"
+      ]
+     },
+     "execution_count": 2,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "import gudhi\n",
+    "\n",
+    "cc = gudhi.CubicalComplex(dimensions=[len(points)], top_dimensional_cells= points)\n",
+    "diag = cc.persistence()\n",
+    "plt = gudhi.plot_persistence_barcode(diag)\n",
+    "plt.show()\n",
+    "\n",
+    "diag"
+   ]
+  }
+ ],
+ "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": "3.5.2"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}