diff --git a/README.md b/README.md
index c1357e2..b4a417a 100644
--- a/README.md
+++ b/README.md
@@ -8,7 +8,7 @@
 
 A *Simplex Tree* is an ordered, [trie](https://en.wikipedia.org/wiki/Trie)-like structure whose nodes are in bijection with the faces of the complex. Here's a picture of a simplicial 3-complex (left) and its corresponding Simplex Tree (right):
 
-![simplex tree picture](./docs/pages/static/simplextree_pic.png)
+![simplex tree picture](./docs/static/simplextree.png)
 
 The *Simplex Tree* was originally introduced in the following paper:
 
diff --git a/docs/pages/index.html b/docs/pages/index.html
index aa48e8c..cccb399 100644
--- a/docs/pages/index.html
+++ b/docs/pages/index.html
@@ -174,7 +174,7 @@
 </li>
         <li class="sidebar-item sidebar-item-section">
       <div class="sidebar-item-container"> 
-            <a href="../reference/index.qmd" class="sidebar-item-text sidebar-link">
+            <a href="../pages/reference/index.html" class="sidebar-item-text sidebar-link">
  <span class="menu-text">API Reference</span></a>
           <a class="sidebar-item-toggle text-start" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-1" aria-expanded="true" aria-label="Toggle section">
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@@ -183,13 +183,13 @@
       <ul id="quarto-sidebar-section-1" class="collapse list-unstyled sidebar-section depth1 show">  
           <li class="sidebar-item">
   <div class="sidebar-item-container"> 
-  <a href="../reference/SimplexTree.SimplexTree.qmd" class="sidebar-item-text sidebar-link">
+  <a href="../pages/reference/SimplexTree.SimplexTree.html" class="sidebar-item-text sidebar-link">
  <span class="menu-text">Simplex Tree</span></a>
   </div>
 </li>
           <li class="sidebar-item">
   <div class="sidebar-item-container"> 
-  <a href="../reference/UnionFind.UnionFind.qmd" class="sidebar-item-text sidebar-link">
+  <a href="../pages/reference/UnionFind.UnionFind.html" class="sidebar-item-text sidebar-link">
  <span class="menu-text">Union Find</span></a>
   </div>
 </li>
@@ -235,7 +235,7 @@ <h1 class="title">simplextree</h1>
 <p>A <em>Simplex Tree</em> is an ordered, <a href="https://en.wikipedia.org/wiki/Trie">trie</a>-like structure whose nodes are in bijection with the faces of the complex. Here’s a picture of a simplicial 3-complex (left) and its corresponding Simplex Tree (right):</p>
 <div class="quarto-figure quarto-figure-center">
 <figure class="figure">
-<p><img src="./static/simplextree_pic.png" class="preview-image img-fluid figure-img"></p>
+<p><img src="../static/simplextree.png" class="preview-image img-fluid figure-img"></p>
 <figcaption class="figure-caption">Picture taken from Boissonnat et al: “The simplex tree: An efficient data structure for general simplicial complexes”</figcaption>
 </figure>
 </div>
diff --git a/docs/pages/overview.html b/docs/pages/overview.html
index f93c35c..df38906 100644
--- a/docs/pages/overview.html
+++ b/docs/pages/overview.html
@@ -64,7 +64,7 @@
 <script src="../site_libs/quarto-search/fuse.min.js"></script>
 <script src="../site_libs/quarto-search/quarto-search.js"></script>
 <meta name="quarto:offset" content="../">
-<link href="../reference/index.qmd" rel="next">
+<link href="../pages/reference/index.html" rel="next">
 <link href="../pages/quickstart.html" rel="prev">
 <script src="../site_libs/quarto-html/quarto.js"></script>
 <script src="../site_libs/quarto-html/popper.min.js"></script>
@@ -192,7 +192,7 @@
 </li>
         <li class="sidebar-item sidebar-item-section">
       <div class="sidebar-item-container"> 
-            <a href="../reference/index.qmd" class="sidebar-item-text sidebar-link">
+            <a href="../pages/reference/index.html" class="sidebar-item-text sidebar-link">
  <span class="menu-text">API Reference</span></a>
           <a class="sidebar-item-toggle text-start" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-1" aria-expanded="true" aria-label="Toggle section">
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@@ -201,13 +201,13 @@
       <ul id="quarto-sidebar-section-1" class="collapse list-unstyled sidebar-section depth1 show">  
           <li class="sidebar-item">
   <div class="sidebar-item-container"> 
-  <a href="../reference/SimplexTree.SimplexTree.qmd" class="sidebar-item-text sidebar-link">
+  <a href="../pages/reference/SimplexTree.SimplexTree.html" class="sidebar-item-text sidebar-link">
  <span class="menu-text">Simplex Tree</span></a>
   </div>
 </li>
           <li class="sidebar-item">
   <div class="sidebar-item-container"> 
-  <a href="../reference/UnionFind.UnionFind.qmd" class="sidebar-item-text sidebar-link">
+  <a href="../pages/reference/UnionFind.UnionFind.html" class="sidebar-item-text sidebar-link">
  <span class="menu-text">Union Find</span></a>
   </div>
 </li>
@@ -250,12 +250,12 @@ <h1 class="title">Overview of the <code>simplextree</code> package</h1>
 <p>Like graphs, there are many ways to represent simplicial complexes in memory. One such way is to use a <em>Simplex Tree</em>: an ordered, <a href="https://en.wikipedia.org/wiki/Trie">trie</a>-like structure whose nodes are in bijection with the faces of the complex. Here’s a picture of a simplicial 3-complex (left) and its corresponding Simplex Tree (right):</p>
 <div class="quarto-figure quarto-figure-center">
 <figure class="figure">
-<p><img src="./static/simplextree_pic.png" class="preview-image img-fluid figure-img"></p>
+<p><img src="../static/simplextree.png" class="preview-image img-fluid figure-img"></p>
 <figcaption class="figure-caption">Picture taken from Boissonnat et al: “The simplex tree: An efficient data structure for general simplicial complexes”</figcaption>
 </figure>
 </div>
 <p>To construct the complex above with a <code>simplextree</code> package, simply give the maximal simplices:</p>
-<div class="cell" data-execution_count="1">
+<div class="cell" data-execution_count="2">
 <div class="sourceCode cell-code" id="cb1"><pre class="sourceCode python code-with-copy"><code class="sourceCode python"><span id="cb1-1"><a href="#cb1-1" aria-hidden="true" tabindex="-1"></a><span class="im">from</span> simplextree <span class="im">import</span> SimplexTree</span>
 <span id="cb1-2"><a href="#cb1-2" aria-hidden="true" tabindex="-1"></a>st <span class="op">=</span> SimplexTree([[<span class="dv">1</span>,<span class="dv">2</span>,<span class="dv">3</span>],[<span class="dv">2</span>,<span class="dv">3</span>,<span class="dv">4</span>,<span class="dv">5</span>],[<span class="dv">6</span>,<span class="dv">7</span>,<span class="dv">9</span>],[<span class="dv">7</span>,<span class="dv">8</span>],[<span class="dv">10</span>]]) <span class="co"># complex form the picture</span></span>
 <span id="cb1-3"><a href="#cb1-3" aria-hidden="true" tabindex="-1"></a><span class="bu">print</span>(st)</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
@@ -264,7 +264,7 @@ <h1 class="title">Overview of the <code>simplextree</code> package</h1>
 </div>
 </div>
 <p>To look at the tree structure, use <code>print_tree</code> (see also: <code>print_cousins</code>)</p>
-<div class="cell" data-execution_count="2">
+<div class="cell" data-execution_count="3">
 <div class="sourceCode cell-code" id="cb3"><pre class="sourceCode python code-with-copy"><code class="sourceCode python"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a>st.print_tree()</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
 <div class="cell-output cell-output-stdout">
 <pre><code>1 (h = 2): .( 2 3 )..( 3 )
@@ -280,7 +280,7 @@ <h1 class="title">Overview of the <code>simplextree</code> package</h1>
 </div>
 </div>
 <p>To maintain fast coface lookup and enumeration, extra links are added between nodes at the same level, which are shown by the dash-dotted lines in the figure above (only for the nodes with the label <span class="math inline">5</span>). To view these links with the <code>SimplexTree</code> class, use <code>print_cousins()</code>:</p>
-<div class="cell" data-execution_count="3">
+<div class="cell" data-execution_count="4">
 <div class="sourceCode cell-code" id="cb5"><pre class="sourceCode python code-with-copy"><code class="sourceCode python"><span id="cb5-1"><a href="#cb5-1" aria-hidden="true" tabindex="-1"></a>st.print_cousins()</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
 <div class="cell-output cell-output-stdout">
 <pre><code>(last=2, depth=2): { 1 2 } 
@@ -657,7 +657,7 @@ <h1 class="title">Overview of the <code>simplextree</code> package</h1>
       </a>          
   </div>
   <div class="nav-page nav-page-next">
-      <a href="../reference/index.qmd" class="pagination-link">
+      <a href="../pages/reference/index.html" class="pagination-link">
         <span class="nav-page-text">API Reference</span> <i class="bi bi-arrow-right-short"></i>
       </a>
   </div>
diff --git a/docs/pages/quickstart.html b/docs/pages/quickstart.html
index 2294c13..e884277 100644
--- a/docs/pages/quickstart.html
+++ b/docs/pages/quickstart.html
@@ -191,7 +191,7 @@
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         <li class="sidebar-item sidebar-item-section">
       <div class="sidebar-item-container"> 
-            <a href="../reference/index.qmd" class="sidebar-item-text sidebar-link">
+            <a href="../pages/reference/index.html" class="sidebar-item-text sidebar-link">
  <span class="menu-text">API Reference</span></a>
           <a class="sidebar-item-toggle text-start" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-1" aria-expanded="true" aria-label="Toggle section">
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-  <a href="../reference/SimplexTree.SimplexTree.qmd" class="sidebar-item-text sidebar-link">
+  <a href="../pages/reference/SimplexTree.SimplexTree.html" class="sidebar-item-text sidebar-link">
  <span class="menu-text">Simplex Tree</span></a>
   </div>
 </li>
           <li class="sidebar-item">
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-  <a href="../reference/UnionFind.UnionFind.qmd" class="sidebar-item-text sidebar-link">
+  <a href="../pages/reference/UnionFind.UnionFind.html" class="sidebar-item-text sidebar-link">
  <span class="menu-text">Union Find</span></a>
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diff --git a/docs/pages/reference/SimplexTree.SimplexTree.html b/docs/pages/reference/SimplexTree.SimplexTree.html
index 5313180..9a66519 100644
--- a/docs/pages/reference/SimplexTree.SimplexTree.html
+++ b/docs/pages/reference/SimplexTree.SimplexTree.html
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 <script src="../../site_libs/quarto-search/fuse.min.js"></script>
 <script src="../../site_libs/quarto-search/quarto-search.js"></script>
 <meta name="quarto:offset" content="../../">
+<link href="../../pages/reference/UnionFind.UnionFind.html" rel="next">
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 <script src="../../site_libs/quarto-html/popper.min.js"></script>
 <script src="../../site_libs/quarto-html/tippy.umd.min.js"></script>
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         <i class="bi bi-layout-text-sidebar-reverse"></i>
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-      <nav class="quarto-page-breadcrumbs" aria-label="breadcrumb"><ol class="breadcrumb"></ol></nav>
+      <nav class="quarto-page-breadcrumbs" aria-label="breadcrumb"><ol class="breadcrumb"><li class="breadcrumb-item"><a href="../../pages/reference/index.html">API Reference</a></li><li class="breadcrumb-item"><a href="../../pages/reference/SimplexTree.SimplexTree.html">Simplex Tree</a></li></ol></nav>
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@@ -156,7 +158,7 @@
 </li>
         <li class="sidebar-item sidebar-item-section">
       <div class="sidebar-item-container"> 
-            <a href="../../reference/index.qmd" class="sidebar-item-text sidebar-link">
+            <a href="../../pages/reference/index.html" class="sidebar-item-text sidebar-link">
  <span class="menu-text">API Reference</span></a>
           <a class="sidebar-item-toggle text-start" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-1" aria-expanded="true" aria-label="Toggle section">
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           <li class="sidebar-item">
   <div class="sidebar-item-container"> 
-  <a href="../../reference/SimplexTree.SimplexTree.qmd" class="sidebar-item-text sidebar-link">
+  <a href="../../pages/reference/SimplexTree.SimplexTree.html" class="sidebar-item-text sidebar-link active">
  <span class="menu-text">Simplex Tree</span></a>
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 </li>
           <li class="sidebar-item">
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-  <a href="../../reference/UnionFind.UnionFind.qmd" class="sidebar-item-text sidebar-link">
+  <a href="../../pages/reference/UnionFind.UnionFind.html" class="sidebar-item-text sidebar-link">
  <span class="menu-text">Union Find</span></a>
   </div>
 </li>
@@ -977,6 +979,18 @@ <h4 class="anchored" data-anchor-id="parameters-8">Parameters</h4>
   }
 });
 </script>
+<nav class="page-navigation">
+  <div class="nav-page nav-page-previous">
+      <a href="../../pages/reference/index.html" class="pagination-link">
+        <i class="bi bi-arrow-left-short"></i> <span class="nav-page-text">API Reference</span>
+      </a>          
+  </div>
+  <div class="nav-page nav-page-next">
+      <a href="../../pages/reference/UnionFind.UnionFind.html" class="pagination-link">
+        <span class="nav-page-text">Union Find</span> <i class="bi bi-arrow-right-short"></i>
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diff --git a/docs/pages/reference/UnionFind.UnionFind.html b/docs/pages/reference/UnionFind.UnionFind.html
index f8e418e..e25c80c 100644
--- a/docs/pages/reference/UnionFind.UnionFind.html
+++ b/docs/pages/reference/UnionFind.UnionFind.html
@@ -30,6 +30,7 @@
 <script src="../../site_libs/quarto-search/fuse.min.js"></script>
 <script src="../../site_libs/quarto-search/quarto-search.js"></script>
 <meta name="quarto:offset" content="../../">
+<link href="../../pages/reference/SimplexTree.SimplexTree.html" rel="prev">
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 <script src="../../site_libs/quarto-html/popper.min.js"></script>
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+      <nav class="quarto-page-breadcrumbs" aria-label="breadcrumb"><ol class="breadcrumb"><li class="breadcrumb-item"><a href="../../pages/reference/index.html">API Reference</a></li><li class="breadcrumb-item"><a href="../../pages/reference/UnionFind.UnionFind.html">Union Find</a></li></ol></nav>
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@@ -140,7 +141,7 @@
 </li>
         <li class="sidebar-item sidebar-item-section">
       <div class="sidebar-item-container"> 
-            <a href="../../reference/index.qmd" class="sidebar-item-text sidebar-link">
+            <a href="../../pages/reference/index.html" class="sidebar-item-text sidebar-link">
  <span class="menu-text">API Reference</span></a>
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           <li class="sidebar-item">
   <div class="sidebar-item-container"> 
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+  <a href="../../pages/reference/SimplexTree.SimplexTree.html" class="sidebar-item-text sidebar-link">
  <span class="menu-text">Simplex Tree</span></a>
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 </li>
           <li class="sidebar-item">
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-  <a href="../../reference/UnionFind.UnionFind.qmd" class="sidebar-item-text sidebar-link">
+  <a href="../../pages/reference/UnionFind.UnionFind.html" class="sidebar-item-text sidebar-link active">
  <span class="menu-text">Union Find</span></a>
   </div>
 </li>
@@ -537,6 +538,15 @@ <h1>UnionFind.UnionFind</h1>
   }
 });
 </script>
+<nav class="page-navigation">
+  <div class="nav-page nav-page-previous">
+      <a href="../../pages/reference/SimplexTree.SimplexTree.html" class="pagination-link">
+        <i class="bi bi-arrow-left-short"></i> <span class="nav-page-text">Simplex Tree</span>
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diff --git a/docs/pages/reference/index.html b/docs/pages/reference/index.html
index 2b57327..4c11739 100644
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@@ -30,6 +30,8 @@
 <script src="../../site_libs/quarto-search/fuse.min.js"></script>
 <script src="../../site_libs/quarto-search/quarto-search.js"></script>
 <meta name="quarto:offset" content="../../">
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 <script src="../../site_libs/quarto-html/popper.min.js"></script>
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         <i class="bi bi-layout-text-sidebar-reverse"></i>
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+      <nav class="quarto-page-breadcrumbs" aria-label="breadcrumb"><ol class="breadcrumb"><li class="breadcrumb-item"><a href="../../pages/reference/index.html">API Reference</a></li></ol></nav>
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@@ -140,7 +142,7 @@
 </li>
         <li class="sidebar-item sidebar-item-section">
       <div class="sidebar-item-container"> 
-            <a href="../../reference/index.qmd" class="sidebar-item-text sidebar-link">
+            <a href="../../pages/reference/index.html" class="sidebar-item-text sidebar-link active">
  <span class="menu-text">API Reference</span></a>
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           <li class="sidebar-item">
   <div class="sidebar-item-container"> 
-  <a href="../../reference/SimplexTree.SimplexTree.qmd" class="sidebar-item-text sidebar-link">
+  <a href="../../pages/reference/SimplexTree.SimplexTree.html" class="sidebar-item-text sidebar-link">
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+  <a href="../../pages/reference/UnionFind.UnionFind.html" class="sidebar-item-text sidebar-link">
  <span class="menu-text">Union Find</span></a>
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@@ -561,6 +563,18 @@ <h2 class="anchored" data-anchor-id="union-find">Union Find</h2>
   }
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 </script>
+<nav class="page-navigation">
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+      <a href="../../pages/overview.html" class="pagination-link">
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+      <a href="../../pages/reference/SimplexTree.SimplexTree.html" class="pagination-link">
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deleted file mode 100644
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-<section id="simplextree.SimplexTree.SimplexTree" class="level1">
-<h1>SimplexTree.SimplexTree</h1>
-<p><code>SimplexTree.SimplexTree(self, simplices=None)</code></p>
-<p>SimplexTree provides lightweight wrapper around a Simplex Tree data structure: an ordered, trie-like structure whose nodes are in bijection with the faces of the complex. This class exposes a native extension module wrapping a simplex tree implemented with modern C++.</p>
-<p>The Simplex Tree was originally introduced in the paper &gt; Boissonnat, Jean-Daniel, and Clément Maria. “The simplex tree: An efficient data structure for general simplicial complexes.” Algorithmica 70.3 (2014): 406-427.</p>
-<p>Attributes: n_simplices (ndarray): number of simplices dimension (int): maximal dimension of the complex id_policy (str): policy for generating new vertex ids</p>
-<p>Attributes: Properties: vertices (ndarray): vertices of the complex</p>
-<section id="methods" class="level2">
-<h2 class="anchored" data-anchor-id="methods">Methods</h2>
-<table class="table">
-<thead>
-<tr class="header">
-<th>Name</th>
-<th>Description</th>
-</tr>
-</thead>
-<tbody>
-<tr class="odd">
-<td><a href="#simplextree.SimplexTree.SimplexTree.adjacent">adjacent</a></td>
-<td>Checks for adjacencies between simplices.</td>
-</tr>
-<tr class="even">
-<td><a href="#simplextree.SimplexTree.SimplexTree.card">card</a></td>
-<td>Returns the cardinality of various skeleta of the complex.</td>
-</tr>
-<tr class="odd">
-<td><a href="#simplextree.SimplexTree.SimplexTree.coface_roots">coface_roots</a></td>
-<td>Returns the simplex ‘roots’ of a given simplex whose subtrees generate its cofaces.</td>
-</tr>
-<tr class="even">
-<td><a href="#simplextree.SimplexTree.SimplexTree.cofaces">cofaces</a></td>
-<td>Returns the p-cofaces of a given simplex.</td>
-</tr>
-<tr class="odd">
-<td><a href="#simplextree.SimplexTree.SimplexTree.collapse">collapse</a></td>
-<td>Performs an elementary collapse on two given simplices.</td>
-</tr>
-<tr class="even">
-<td><a href="#simplextree.SimplexTree.SimplexTree.degree">degree</a></td>
-<td>Computes the degree of select vertices in the trie.</td>
-</tr>
-<tr class="odd">
-<td><a href="#simplextree.SimplexTree.SimplexTree.expand">expand</a></td>
-<td>Performs a k-expansion of the complex.</td>
-</tr>
-<tr class="even">
-<td><a href="#simplextree.SimplexTree.SimplexTree.faces">faces</a></td>
-<td>Wrapper for simplices function.</td>
-</tr>
-<tr class="odd">
-<td><a href="#simplextree.SimplexTree.SimplexTree.find">find</a></td>
-<td>Finds whether simplices exist in Simplex Tree.</td>
-</tr>
-<tr class="even">
-<td><a href="#simplextree.SimplexTree.SimplexTree.insert">insert</a></td>
-<td>Inserts simplices into the Simplex Tree.</td>
-</tr>
-<tr class="odd">
-<td><a href="#simplextree.SimplexTree.SimplexTree.link">link</a></td>
-<td>Returns all simplices in the link of a given simplex.</td>
-</tr>
-<tr class="even">
-<td><a href="#simplextree.SimplexTree.SimplexTree.maximal">maximal</a></td>
-<td>Returns the maximal simplices in the complex.</td>
-</tr>
-<tr class="odd">
-<td><a href="#simplextree.SimplexTree.SimplexTree.remove">remove</a></td>
-<td>Removes simplices into the Simplex Tree.</td>
-</tr>
-<tr class="even">
-<td><a href="#simplextree.SimplexTree.SimplexTree.simplices">simplices</a></td>
-<td>Returns the p-simplices in the complex.</td>
-</tr>
-<tr class="odd">
-<td><a href="#simplextree.SimplexTree.SimplexTree.skeleton">skeleton</a></td>
-<td>Returns the simplices in the p-skeleton of the complex.</td>
-</tr>
-<tr class="even">
-<td><a href="#simplextree.SimplexTree.SimplexTree.traverse">traverse</a></td>
-<td>Traverses the simplex tree in the specified order, calling ‘f’ on each simplex encountered.</td>
-</tr>
-<tr class="odd">
-<td><a href="#simplextree.SimplexTree.SimplexTree.vertex_collapse">vertex_collapse</a></td>
-<td>Maps a pair of vertices into a single vertex.</td>
-</tr>
-</tbody>
-</table>
-<section id="simplextree.SimplexTree.SimplexTree.adjacent" class="level3">
-<h3 class="anchored" data-anchor-id="simplextree.SimplexTree.SimplexTree.adjacent">adjacent</h3>
-<p><code>SimplexTree.SimplexTree.adjacent(self, simplices)</code></p>
-<p>Checks for adjacencies between simplices.</p>
-</section>
-<section id="simplextree.SimplexTree.SimplexTree.card" class="level3">
-<h3 class="anchored" data-anchor-id="simplextree.SimplexTree.SimplexTree.card">card</h3>
-<p><code>SimplexTree.SimplexTree.card(self, p=None)</code></p>
-<p>Returns the cardinality of various skeleta of the complex.</p>
-</section>
-<section id="simplextree.SimplexTree.SimplexTree.coface_roots" class="level3">
-<h3 class="anchored" data-anchor-id="simplextree.SimplexTree.SimplexTree.coface_roots">coface_roots</h3>
-<p><code>SimplexTree.SimplexTree.coface_roots(self, sigma=\[\])</code></p>
-<p>Returns the simplex ‘roots’ of a given simplex whose subtrees generate its cofaces.</p>
-</section>
-<section id="simplextree.SimplexTree.SimplexTree.cofaces" class="level3">
-<h3 class="anchored" data-anchor-id="simplextree.SimplexTree.SimplexTree.cofaces">cofaces</h3>
-<p><code>SimplexTree.SimplexTree.cofaces(self, sigma=\[\])</code></p>
-<p>Returns the p-cofaces of a given simplex.</p>
-<p>Parameters: p : coface dimension to restrict to sigma : the simplex to obtain cofaces of</p>
-<p>Returns: list: the p-cofaces of sigma</p>
-</section>
-<section id="simplextree.SimplexTree.SimplexTree.collapse" class="level3">
-<h3 class="anchored" data-anchor-id="simplextree.SimplexTree.SimplexTree.collapse">collapse</h3>
-<p><code>SimplexTree.SimplexTree.collapse(self, tau, sigma)</code></p>
-<p>Performs an elementary collapse on two given simplices.</p>
-<p>Checks whether its possible to collapse <span class="math inline">\sigma</span> through <span class="math inline">\tau</span>, and if so, both simplices are removed. A simplex <span class="math inline">\sigma</span> is said to be collapsible through one of its faces <span class="math inline">\tau</span> if <span class="math inline">\sigma</span> is the only coface of <span class="math inline">\tau</span> (excluding <span class="math inline">\tau</span> itself).</p>
-<p>Parameters: sigma : maximal simplex to collapse tau : face of sigma to collapse</p>
-<p>Returns: bool: whether the pair was collapsed</p>
-<p>Examples:</p>
-<pre><code>    from splex import SimplexTree 
-    st = SimplexTree([[0,1,2]])
-    print(st)
-
-    st.collapse([1,2], [0,1,2])
-
-    print(st)</code></pre>
-</section>
-<section id="simplextree.SimplexTree.SimplexTree.degree" class="level3">
-<h3 class="anchored" data-anchor-id="simplextree.SimplexTree.SimplexTree.degree">degree</h3>
-<p><code>SimplexTree.SimplexTree.degree(self, vertices=None)</code></p>
-<p>Computes the degree of select vertices in the trie.</p>
-<p>Parameters: vertices (ArrayLike): Retrieves vertex degrees If no vertices are specified, all degrees are computed. Non-existing vertices by default have degree 0.</p>
-<p>Returns: list: degree of each vertex id given in ‘vertices’</p>
-</section>
-<section id="simplextree.SimplexTree.SimplexTree.expand" class="level3">
-<h3 class="anchored" data-anchor-id="simplextree.SimplexTree.SimplexTree.expand">expand</h3>
-<p><code>SimplexTree.SimplexTree.expand(self, k)</code></p>
-<p>Performs a k-expansion of the complex.</p>
-<p>This function is particularly useful for expanding clique complexes beyond their 1-skeleton.</p>
-<p>Parameters: k : maximum dimension to expand to.</p>
-<p>Examples:</p>
-<pre><code>    from simplextree import SimplexTree 
-    from itertools import combinations 
-    st = SimplexTree(combinations(range(8), 2))
-    print(st)
-    
-    st.expand(k=2)
-    print(st)</code></pre>
-</section>
-<section id="simplextree.SimplexTree.SimplexTree.faces" class="level3">
-<h3 class="anchored" data-anchor-id="simplextree.SimplexTree.SimplexTree.faces">faces</h3>
-<p><code>SimplexTree.SimplexTree.faces(self, p=None, sigma=\[\], **kwargs)</code></p>
-<p>Wrapper for simplices function.</p>
-</section>
-<section id="simplextree.SimplexTree.SimplexTree.find" class="level3">
-<h3 class="anchored" data-anchor-id="simplextree.SimplexTree.SimplexTree.find">find</h3>
-<p><code>SimplexTree.SimplexTree.find(self, simplices)</code></p>
-<p>Finds whether simplices exist in Simplex Tree.</p>
-<p>Parameters: simplices: Iterable of simplices to insert (each of which are SimplexLike)</p>
-<p>Returns: found (ndarray) : boolean array indicating whether each simplex was found in the complex</p>
-<div class="callout callout-style-default callout-note callout-titled">
-<div class="callout-header d-flex align-content-center">
-<div class="callout-icon-container">
-<i class="callout-icon"></i>
-</div>
-<div class="callout-title-container flex-fill">
-Note
-</div>
-</div>
-<div class="callout-body-container callout-body">
-<pre><code>    If the iterable is an 2-dim np.ndarray, then the p-simplex to find is given by each contiguous p+1 stride.
-    Otherwise, each element of the iterable to casted to a Simplex and then searched for in the tree. </code></pre>
-</div>
-</div>
-</section>
-<section id="simplextree.SimplexTree.SimplexTree.insert" class="level3">
-<h3 class="anchored" data-anchor-id="simplextree.SimplexTree.SimplexTree.insert">insert</h3>
-<p><code>SimplexTree.SimplexTree.insert(self, simplices)</code></p>
-<p>Inserts simplices into the Simplex Tree.</p>
-<p>By definition, inserting a simplex also inserts all of its faces. If the simplex already exists in the complex, the tree is not modified.</p>
-<p>Parameters: simplices: Iterable of simplices to insert (each of which are SimplexLike)</p>
-<div class="callout callout-style-default callout-note callout-titled">
-<div class="callout-header d-flex align-content-center">
-<div class="callout-icon-container">
-<i class="callout-icon"></i>
-</div>
-<div class="callout-title-container flex-fill">
-Note
-</div>
-</div>
-<div class="callout-body-container callout-body">
-<pre><code>    If the iterable is an 2-dim np.ndarray, then a p-simplex is inserted along each contiguous p+1 stride.
-    Otherwise, each element of the iterable to casted to a Simplex and then inserted into the tree. </code></pre>
-</div>
-</div>
-</section>
-<section id="simplextree.SimplexTree.SimplexTree.link" class="level3">
-<h3 class="anchored" data-anchor-id="simplextree.SimplexTree.SimplexTree.link">link</h3>
-<p><code>SimplexTree.SimplexTree.link(self, sigma=\[\])</code></p>
-<p>Returns all simplices in the link of a given simplex.</p>
-</section>
-<section id="simplextree.SimplexTree.SimplexTree.maximal" class="level3">
-<h3 class="anchored" data-anchor-id="simplextree.SimplexTree.SimplexTree.maximal">maximal</h3>
-<p><code>SimplexTree.SimplexTree.maximal(self)</code></p>
-<p>Returns the maximal simplices in the complex.</p>
-</section>
-<section id="simplextree.SimplexTree.SimplexTree.remove" class="level3">
-<h3 class="anchored" data-anchor-id="simplextree.SimplexTree.SimplexTree.remove">remove</h3>
-<p><code>SimplexTree.SimplexTree.remove(self, simplices)</code></p>
-<p>Removes simplices into the Simplex Tree.</p>
-<p>By definition, removing a face also removes all of its cofaces. If the simplex does not exist in the complex, the tree is not modified.</p>
-<p>Parameters: simplices: Iterable of simplices to insert (each of which are SimplexLike).</p>
-<div class="callout callout-style-default callout-note callout-titled">
-<div class="callout-header d-flex align-content-center">
-<div class="callout-icon-container">
-<i class="callout-icon"></i>
-</div>
-<div class="callout-title-container flex-fill">
-Note
-</div>
-</div>
-<div class="callout-body-container callout-body">
-<pre><code>    If the iterable is an 2-dim np.ndarray, then a p-simplex is removed along each contiguous p+1 stride.
-    Otherwise, each element of the iterable to casted to a Simplex and then removed from the tree. </code></pre>
-</div>
-</div>
-<p>Examples: st = SimplexTree([range(3)]) print(st) st.remove([[0,1]]) print(st)</p>
-</section>
-<section id="simplextree.SimplexTree.SimplexTree.simplices" class="level3">
-<h3 class="anchored" data-anchor-id="simplextree.SimplexTree.SimplexTree.simplices">simplices</h3>
-<p><code>SimplexTree.SimplexTree.simplices(self, p=None)</code></p>
-<p>Returns the p-simplices in the complex.</p>
-</section>
-<section id="simplextree.SimplexTree.SimplexTree.skeleton" class="level3">
-<h3 class="anchored" data-anchor-id="simplextree.SimplexTree.SimplexTree.skeleton">skeleton</h3>
-<p><code>SimplexTree.SimplexTree.skeleton(self, p=None, sigma=\[\])</code></p>
-<p>Returns the simplices in the p-skeleton of the complex.</p>
-</section>
-<section id="simplextree.SimplexTree.SimplexTree.traverse" class="level3">
-<h3 class="anchored" data-anchor-id="simplextree.SimplexTree.SimplexTree.traverse">traverse</h3>
-<p><code>SimplexTree.SimplexTree.traverse(self, order='preorder', f=print, sigma=\[\], p=0)</code></p>
-<p>Traverses the simplex tree in the specified order, calling ‘f’ on each simplex encountered.</p>
-<p>Supported traversals: - breadth-first / level order (“bfs”, “levelorder”) - depth-first / prefix (“dfs”, “preorder”) - faces - cofaces - coface roots (“coface_roots”) - p-skeleton - p-simplices - maximal simplices (“maximal”) - link To select one of these options, set order to one of [“bfs”, “levelorder”, “dfs”, “preorder”]</p>
-<p>Parameters: order: the type of traversal of the simplex tree to execute. f: a function to evaluate on every simplex in the traversal. Defaults to print. sigma: simplex to start the traversal at, where applicable. Defaults to the root node (empty set). p: dimension of simplices to restrict to, where applicable. Defaults to 0.</p>
-</section>
-<section id="simplextree.SimplexTree.SimplexTree.vertex_collapse" class="level3">
-<h3 class="anchored" data-anchor-id="simplextree.SimplexTree.SimplexTree.vertex_collapse">vertex_collapse</h3>
-<p><code>SimplexTree.SimplexTree.vertex_collapse(self, u, v, w)</code></p>
-<p>Maps a pair of vertices into a single vertex.</p>
-<p>Parameters: u (int): the first vertex in the free pair. v (int): the second vertex in the free pair. w (int): the target vertex to collapse to.</p>
-
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diff --git a/docs/static/simplextree_pic.png b/docs/static/simplextree.png
similarity index 100%
rename from docs/static/simplextree_pic.png
rename to docs/static/simplextree.png
diff --git a/docs_src/_freeze/pages/overview/execute-results/html.json b/docs_src/_freeze/pages/overview/execute-results/html.json
index e9a1234..9bd3c76 100644
--- a/docs_src/_freeze/pages/overview/execute-results/html.json
+++ b/docs_src/_freeze/pages/overview/execute-results/html.json
@@ -1,7 +1,7 @@
 {
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   "result": {
-    "markdown": "---\nformat:\n  html:\n    code-fold: false\nexecute:\n  freeze: auto\n  enabled: true\ntitle: Overview of the `simplextree` package\n---\n\n\n\n\n\nA _simplicial complex_ $S$ is a pair $S = (V, \\Sigma)$ where $V$ is a vertex set and $\\Sigma$ a collection of _simplices_ $s \\in \\Sigma$ satisfying: \n\n1. If $v \\in V$, then $v \\in S$\n2. If $\\tau \\subset \\sigma$ and $\\sigma \\in S$, then $\\tau \\in S$\n\nA simplicial complex is a natural generalization of a [graph](https://en.wikipedia.org/wiki/Graph_(discrete_mathematics))---any graph can also be represented by a simplicial complex (though the converse is not true!). \n\nLike graphs, there are many ways to represent simplicial complexes in memory. One such way is to use a _Simplex Tree_: an ordered, [trie](https://en.wikipedia.org/wiki/Trie)-like structure whose nodes are in bijection with the faces of the complex. Here's a picture of a simplicial 3-complex (left) and its corresponding Simplex Tree (right):\n\n![Picture taken from Boissonnat et al: \"The simplex tree: An efficient data structure for general simplicial complexes\"](./static/simplextree_pic.png){.preview-image}\n\nTo construct the complex above with a `simplextree` package, simply give the maximal simplices: \n\n\n::: {.cell execution_count=1}\n``` {.python .cell-code}\nfrom simplextree import SimplexTree\nst = SimplexTree([[1,2,3],[2,3,4,5],[6,7,9],[7,8],[10]]) # complex form the picture\nprint(st)\n```\n\n::: {.cell-output .cell-output-stdout}\n```\nSimplex Tree with (10, 12, 6, 1) (0, 1, 2, 3)-simplices\n```\n:::\n:::\n\n\nTo look at the tree structure, use `print_tree` (see also: `print_cousins`)\n\n::: {.cell execution_count=2}\n``` {.python .cell-code}\nst.print_tree()\n```\n\n::: {.cell-output .cell-output-stdout}\n```\n1 (h = 2): .( 2 3 )..( 3 )\n2 (h = 3): .( 3 4 5 )..( 4 5 5 )...( 5 )\n3 (h = 2): .( 4 5 )..( 5 )\n4 (h = 1): .( 5 )\n5 (h = 0): \n6 (h = 2): .( 7 9 )..( 9 )\n7 (h = 1): .( 8 9 )\n8 (h = 0): \n9 (h = 0): \n10 (h = 0): \n```\n:::\n:::\n\n\nTo maintain fast coface lookup and enumeration, extra links are added between nodes at the same level, which are shown by the dash-dotted lines in the figure above (only for the nodes with the label $5$). To view these links with the `SimplexTree` class, use `print_cousins()`:\n\n::: {.cell execution_count=3}\n``` {.python .cell-code}\nst.print_cousins()\n```\n\n::: {.cell-output .cell-output-stdout}\n```\n(last=2, depth=2): { 1 2 } \n(last=3, depth=2): { 1 3 } { 2 3 } \n(last=4, depth=2): { 2 4 } { 3 4 } \n(last=5, depth=2): { 2 5 } { 3 5 } { 4 5 } \n(last=7, depth=2): { 6 7 } \n(last=8, depth=2): { 7 8 } \n(last=9, depth=2): { 6 9 } { 7 9 } \n(last=3, depth=3): { 1 2 3 } \n(last=4, depth=3): { 2 3 4 } \n(last=5, depth=3): { 2 3 5 } { 2 4 5 } { 3 4 5 } \n(last=9, depth=3): { 6 7 9 } \n(last=5, depth=4): { 2 3 4 5 } \n```\n:::\n:::\n\n\n<!-- Various subsets of the complex can be parameterized by a starting simplex.  -->\n\n",
+    "markdown": "---\nformat:\n  html:\n    code-fold: false\nexecute:\n  freeze: auto\n  enabled: true\ntitle: Overview of the `simplextree` package\n---\n\n\n\n\n\nA _simplicial complex_ $S$ is a pair $S = (V, \\Sigma)$ where $V$ is a vertex set and $\\Sigma$ a collection of _simplices_ $s \\in \\Sigma$ satisfying: \n\n1. If $v \\in V$, then $v \\in S$\n2. If $\\tau \\subset \\sigma$ and $\\sigma \\in S$, then $\\tau \\in S$\n\nA simplicial complex is a natural generalization of a [graph](https://en.wikipedia.org/wiki/Graph_(discrete_mathematics))---any graph can also be represented by a simplicial complex (though the converse is not true!). \n\nLike graphs, there are many ways to represent simplicial complexes in memory. One such way is to use a _Simplex Tree_: an ordered, [trie](https://en.wikipedia.org/wiki/Trie)-like structure whose nodes are in bijection with the faces of the complex. Here's a picture of a simplicial 3-complex (left) and its corresponding Simplex Tree (right):\n\n![Picture taken from Boissonnat et al: \"The simplex tree: An efficient data structure for general simplicial complexes\"](../static/simplextree.png){.preview-image}\n\nTo construct the complex above with a `simplextree` package, simply give the maximal simplices: \n\n\n::: {.cell execution_count=2}\n``` {.python .cell-code}\nfrom simplextree import SimplexTree\nst = SimplexTree([[1,2,3],[2,3,4,5],[6,7,9],[7,8],[10]]) # complex form the picture\nprint(st)\n```\n\n::: {.cell-output .cell-output-stdout}\n```\nSimplex Tree with (10, 12, 6, 1) (0, 1, 2, 3)-simplices\n```\n:::\n:::\n\n\nTo look at the tree structure, use `print_tree` (see also: `print_cousins`)\n\n::: {.cell execution_count=3}\n``` {.python .cell-code}\nst.print_tree()\n```\n\n::: {.cell-output .cell-output-stdout}\n```\n1 (h = 2): .( 2 3 )..( 3 )\n2 (h = 3): .( 3 4 5 )..( 4 5 5 )...( 5 )\n3 (h = 2): .( 4 5 )..( 5 )\n4 (h = 1): .( 5 )\n5 (h = 0): \n6 (h = 2): .( 7 9 )..( 9 )\n7 (h = 1): .( 8 9 )\n8 (h = 0): \n9 (h = 0): \n10 (h = 0): \n```\n:::\n:::\n\n\nTo maintain fast coface lookup and enumeration, extra links are added between nodes at the same level, which are shown by the dash-dotted lines in the figure above (only for the nodes with the label $5$). To view these links with the `SimplexTree` class, use `print_cousins()`:\n\n::: {.cell execution_count=4}\n``` {.python .cell-code}\nst.print_cousins()\n```\n\n::: {.cell-output .cell-output-stdout}\n```\n(last=2, depth=2): { 1 2 } \n(last=3, depth=2): { 1 3 } { 2 3 } \n(last=4, depth=2): { 2 4 } { 3 4 } \n(last=5, depth=2): { 2 5 } { 3 5 } { 4 5 } \n(last=7, depth=2): { 6 7 } \n(last=8, depth=2): { 7 8 } \n(last=9, depth=2): { 6 9 } { 7 9 } \n(last=3, depth=3): { 1 2 3 } \n(last=4, depth=3): { 2 3 4 } \n(last=5, depth=3): { 2 3 5 } { 2 4 5 } { 3 4 5 } \n(last=9, depth=3): { 6 7 9 } \n(last=5, depth=4): { 2 3 4 5 } \n```\n:::\n:::\n\n\n<!-- Various subsets of the complex can be parameterized by a starting simplex.  -->\n\n",
     "supporting": [
       "overview_files/figure-html"
     ],
diff --git a/docs_src/_quarto.yml b/docs_src/_quarto.yml
index e3433d0..0201ce8 100644
--- a/docs_src/_quarto.yml
+++ b/docs_src/_quarto.yml
@@ -38,7 +38,7 @@ website:
   navbar:
     left: 
       - text: simplextree
-        href: "pages/index.html"
+        href: pages/index.html
     background: light
     right: 
       - icon: github
@@ -58,14 +58,14 @@ website:
       - text: Overview 
         href: pages/overview.qmd
       - section: API Reference
-        href: reference/index.qmd
+        href: pages/reference/index.qmd
         contents:
           - name: SimplexTree 
             text: Simplex Tree
-            href: reference/SimplexTree.SimplexTree.qmd
+            href: pages/reference/SimplexTree.SimplexTree.qmd
           - name: UnionFind 
             text: Union Find
-            href: reference/UnionFind.UnionFind.qmd
+            href: pages/reference/UnionFind.UnionFind.qmd
 
   page-navigation: true
   reader-mode: true
diff --git a/docs_src/_sidebar.yml b/docs_src/_sidebar.yml
index 9ee0150..9181d2f 100644
--- a/docs_src/_sidebar.yml
+++ b/docs_src/_sidebar.yml
@@ -6,7 +6,7 @@ website:
       - pages/reference/SimplexTree.SimplexTree.qmd
       section: Simplex Tree
     - contents:
-      - pages/reference/UnionFind.UnionFind.qmd 
+      - pages/reference/UnionFind.UnionFind.qmd
       section: Union Find
     id: pages/reference
   - id: dummy-sidebar
diff --git a/docs_src/pages/.jupyter_cache/global.db b/docs_src/pages/.jupyter_cache/global.db
index 69faf9a..b2c59b4 100644
Binary files a/docs_src/pages/.jupyter_cache/global.db and b/docs_src/pages/.jupyter_cache/global.db differ
diff --git a/docs_src/pages/index.qmd b/docs_src/pages/index.qmd
index 7eec331..dbe0b00 100644
--- a/docs_src/pages/index.qmd
+++ b/docs_src/pages/index.qmd
@@ -18,7 +18,7 @@ execute:
 
 A _Simplex Tree_ is an ordered, [trie](https://en.wikipedia.org/wiki/Trie)-like structure whose nodes are in bijection with the faces of the complex. Here's a picture of a simplicial 3-complex (left) and its corresponding Simplex Tree (right):
 
-![Picture taken from Boissonnat et al: "The simplex tree: An efficient data structure for general simplicial complexes"](./static/simplextree_pic.png){.preview-image}
+![Picture taken from Boissonnat et al: "The simplex tree: An efficient data structure for general simplicial complexes"](../static/simplextree.png){.preview-image}
 
 The _Simplex Tree_ was originally introduced in the following paper:
 
diff --git a/docs_src/pages/overview.qmd b/docs_src/pages/overview.qmd
index cf414ec..f32ea15 100644
--- a/docs_src/pages/overview.qmd
+++ b/docs_src/pages/overview.qmd
@@ -23,7 +23,7 @@ A simplicial complex is a natural generalization of a [graph](https://en.wikiped
 
 Like graphs, there are many ways to represent simplicial complexes in memory. One such way is to use a _Simplex Tree_: an ordered, [trie](https://en.wikipedia.org/wiki/Trie)-like structure whose nodes are in bijection with the faces of the complex. Here's a picture of a simplicial 3-complex (left) and its corresponding Simplex Tree (right):
 
-![Picture taken from Boissonnat et al: "The simplex tree: An efficient data structure for general simplicial complexes"](./static/simplextree_pic.png){.preview-image}
+![Picture taken from Boissonnat et al: "The simplex tree: An efficient data structure for general simplicial complexes"](../static/simplextree.png){.preview-image}
 
 To construct the complex above with a `simplextree` package, simply give the maximal simplices: 
 
diff --git a/docs_src/static/simplextree_pic.png b/docs_src/static/simplextree.png
similarity index 100%
rename from docs_src/static/simplextree_pic.png
rename to docs_src/static/simplextree.png