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149 lines
5.2 KiB
HTML
149 lines
5.2 KiB
HTML
<!DOCTYPE html>
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<html lang="en"><!-- #BeginTemplate "/Templates/Main.dwt" --><!-- DW6 -->
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<!-- Mirrored from www.mathsisfun.com/geometry/dodecahedron.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:44:20 GMT -->
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<head>
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<meta http-equiv="content-type" content="text/html; charset=UTF-8">
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<!-- #BeginEditable "doctitle" -->
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<title>Spinning Dodecahedron</title>
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<style type="text/css">
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.boxa {
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text-align: left;
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vertical-align:middle;
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display: inline-block;
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vertical-align:middle;
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margin: 0;
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padding: 2px;
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width:240px;
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background-color: hsla(240,100%,60%,0.1);
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display: inline-block;
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vertical-align: top;
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margin: 0 10px 10px 10px;
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width: 450px;
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}
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</style>
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<meta name="keywords" content="math, maths, mathematics, school, homework, education">
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<meta name="HandheldFriendly" content="true">
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<meta name="referrer" content="always">
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<link rel="preload" href="../images/style/font-champ-bold.ttf" as="font" type="font/ttf" crossorigin="">
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<link rel="preload" href="../style4.css" as="style">
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<link rel="preload" href="../main4.js" as="script">
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<link rel="stylesheet" href="../style4.css">
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gtag('js', new Date());
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gtag('config', 'UA-29771508-1');
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</script>
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<body id="bodybg">
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<div id="stt"></div>
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<div id="adTop"></div>
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<header>
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<div id="hdr"></div>
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<div id="tran"></div>
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<div id="adHide"></div>
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<div id="cookOK"></div>
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</header>
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<div class="mid">
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<nav>
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<div id="menuWide" class="menu"></div>
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<div id="logo"><a href="../index.html"><img src="../images/style/logo.svg" alt="Math is Fun"></a></div>
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<article id="content" role="main">
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<!-- #BeginEditable "Body" -->
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<h1 class="center">Dodecahedron</h1>
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<div class="boxa">
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<div class="head">Dodecahedron Facts</div>
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<p><b>Notice these interesting things:</b></p>
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<ul>
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<li>It has 12 Faces</li>
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<li>Each face has 5 edges (a <a href="pentagon.html">pentagon</a>)</li>
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<li>It has 30 Edges</li>
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<li>It has 20 Vertices (corner points)</li>
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<li>and at each vertex 3 edges meet</li>
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<li>It is one of the <a href="../platonic_solids.html">Platonic Solids</a></li>
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</ul>
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</div>
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<div class="boxb">
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<div class="script" style="height: 450px;">
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images/polyhedra.js?mode=dodecahedron
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</div>
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</div>
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<h2>Volume and Surface Area</h2>
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<p class="center"><b>Volume</b> = (15+7×√5)/4 × (Edge Length)<sup>3</sup></p>
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<p class="center"><b>Surface Area</b> = 3×√(25+10×√5) × (Edge Length)<sup>2</sup></p>
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<div class="words">
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<p>It is called a <i>dodecahedron</i> because it is a polyhedron that has 12 faces (from Greek <i>dodeca-</i> meaning 12).</p>
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<p>When we have more than one dodecahedron they are called <b>dodecahedra</b></p>
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</div>
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<p> </p>
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<p style="float:left; margin: 0 10px 5px 0;"><img src="images/rhombo-hex-dodecahedron.gif" alt="rhombo hex dodecahedron" height="84" width="115"></p>
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<p>When we say "dodecahedron" we often mean "regular dodecahedron" (in other words all faces are the same size and shape), but it doesn't <i>have</i> to be - this is also a dodecahedron, even though all faces are not the same.</p>
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<div style="clear:both"></div>
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<p> </p>
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<p style="float:right; margin: 0 0 5px 10px;"><img src="images/dice-dodecahedron.jpg" alt="dice dodecahedron" height="150" width="142"></p>
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<p><b>12-Sided Dice?</b> Yes! A dodecahedron which has 12 equal faces has an equal chance of landing on any face.</p>
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<p>In fact, you can make <a href="fair-dice.html">fair dice</a> out of all of the Platonic Solids.</p>
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<p> </p>
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<td><a href="dodecahedron-model.html">Make your own Dodecahedron</a>,<br>
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cut out the shape and glue it together.</td>
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<td>
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<a href="dodecahedron-model.html"><img src="images/dodecahedron-model-thumb.svg" alt="Dodecahedron Model Template" height="" width=""></a>
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</td>
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</tr>
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</tbody></table>
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<p> </p>
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<div class="questions">1848, 1849, 1850, 1851</div>
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<div class="related">
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<a href="../platonic_solids.html">Platonic Solids</a>
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</div>
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<!-- #EndEditable -->
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</article>
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<div id="adend" class="centerfull noprint"></div>
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<footer id="footer" class="centerfull noprint"></footer>
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<div id="copyrt">Copyright © 2022 Rod Pierce</div>
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