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<title>Platonic Solids</title>
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<h1>Platonic Solids </h1> </center>
<p class="center"><img src="geometry/images/platonic-solids.jpg" alt="5 Platonic solids">
</p> <p>A Platonic Solid is a <a href="geometry/common-3d-shapes.html">3D shape</a> where:</p>
<ul>
<li>each face is the same <a href="geometry/polygons.html">regular polygon</a></li>
<li>the same number of polygons meet at each vertex (corner)</li>
</ul>
<div class="example">
<h3>Example: the Cube is a Platonic Solid</h3>
<table border="0">
<tr>
<td><img src="geometry/images/poly-cube.svg" style="float:left" alt="Hexahedron or Cube" /></td>
<td>
<ul>
<li>each face is the same-sized square</li>
<li>3 squares meet at each corner</li>
</ul>
</td>
</tr>
</table>
</div><p>&nbsp;</p>
<p align="center"><span class="large">There are only five platonic solids. </span></p>
<h2>The Platonic Solids </h2>
<p class="center80">For each solid we have two printable nets (with and without tabs). You can make <a href="geometry/model-construction-tips.html">models</a> with them!
<br>
<br> Print them on a piece of card, cut them out, tape the edges, and you will have your own platonic solids. </p>
<table border="0" align="center" cellspacing="5">
<tr>
<td align="center">
<a href="geometry/tetrahedron.html"><img src="geometry/images/poly-tetrahedron.svg" alt="Tetrahedron" height="150" border="0" /></a>
</td>
<td><b>Tetrahedron</b>
<ul>
<li>3 triangles meet at each vertex</li>
<li>4 Faces</li>
<li>4 Vertices</li>
<li>6 Edges</li>
<li><a href="tetrahedron.html">Tetrahedron Net</a></li>
<li><a href="geometry/tetrahedron-model.html">Tetrahedron Net (with tabs)</a></li>
<li><a href="geometry/tetrahedron.html">Spin a Tetrahedron</a></li>
</ul>
</td>
</tr>
<tr>
<td align="center">&nbsp;</td>
<td>&nbsp;</td>
</tr>
<tr>
<td align="center">
<a href="geometry/hexahedron.html"><img src="geometry/images/poly-cube.svg" alt="Cube" height="150" border="0" /></a>
</td>
<td><b>Cube</b>
<ul>
<li>3 squares meet at each vertex</li>
<li>6 Faces</li>
<li>8 Vertices</li>
<li>12 Edges</li>
<li><a href="cube.html">Cube Net</a></li>
<li><a href="geometry/cube-model.html">Cube Net (with tabs)</a></li>
<li><a href="geometry/hexahedron.html">Spin a Cube</a></li>
</ul>
</td>
</tr>
<tr>
<td align="center">&nbsp;</td>
<td>&nbsp;</td>
</tr>
<tr>
<td align="center">
<a href="geometry/octahedron.html"><img src="geometry/images/poly-octahedron.svg" alt="Octahedron" height="150" border="0" /></a>
</td>
<td><b>Octahedron</b>
<ul>
<li>4 triangles meet at each vertex</li>
<li>8 Faces</li>
<li>6 Vertices</li>
<li>12 Edges</li>
<li><a href="octahedron.html">Octahedron Net</a></li>
<li><a href="geometry/octahedron-model.html">Octahedron Net (with tabs)</a></li>
<li><a href="geometry/octahedron.html">Spin an Octahedron</a></li>
</ul>
</td>
</tr>
<tr>
<td align="center">&nbsp;</td>
<td>&nbsp;</td>
</tr>
<tr>
<td align="center">
<a href="geometry/dodecahedron.html"><img src="geometry/images/poly-dodecahedron.svg" alt="Dodecahedron" height="150" border="0" /></a>
</td>
<td><b>Dodecahedron</b>
<ul>
<li>3 pentagons meet at each vertex</li>
<li>12 Faces</li>
<li>20 Vertices</li>
<li>30 Edges</li>
<li><a href="dodecahedron.html">Dodecahedron Net</a></li>
<li><a href="geometry/dodecahedron-model.html">Dodecahedron Net (with tabs)</a></li>
<li><a href="geometry/dodecahedron.html">Spin a Dodecahedron</a></li>
</ul>
</td>
</tr>
<tr>
<td align="center">&nbsp;</td>
<td>&nbsp;</td>
</tr>
<tr>
<td align="center">
<a href="geometry/icosahedron.html"><img src="geometry/images/poly-icosahedron.svg" alt="Icosahedron" height="150" border="0" /></a>
</td>
<td><b>Icosahedron</b>
<ul>
<li>5 triangles meet at each vertex</li>
<li>20 Faces</li>
<li>12 Vertices</li>
<li>30 Edges</li>
<li><a href="icosahedron.html">Icosahedron Net</a></li>
<li><a href="geometry/icosahedron-model.html">Icosahedron Net (with tabs)</a></li>
<li><a href="geometry/icosahedron.html">Spin an Icosahedron</a></li>
</ul>
</td>
</tr>
</table>
<p>&nbsp;</p>
<div class="related"> <a href="geometry/model-construction-tips.html">Model Construction Tips</a> <a href="geometry/platonic-solids-why-five.html">Why Only 5 Platonic Solids? (Advanced Topic)</a> <a href="geometry/solid-geometry.html">Solid Geometry</a> <a href="geometry/index.html">Geometry Index</a></div>
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