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156 lines
5.4 KiB
HTML
156 lines
5.4 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/octahedron.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:44:19 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 Octahedron</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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display: inline-block;
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vertical-align: top;
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margin: 0 10px 10px 10px;
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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="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes">
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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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<script src="../main4.js" defer="defer"></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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</nav>
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<div id="extra"></div>
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<article id="content" role="main">
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<!-- #BeginEditable "Body" -->
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<h1 class="center">Octahedron</h1>
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<div class="boxa">
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<div class="head">Octahedron 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 8 Faces</li>
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<li>Each face is an <a href="../triangle.html">Equilateral Triangle</a></li>
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<li>It has 12 Edges</li>
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<li>It has 6 Vertices (corner points)</li>
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<li>and at each vertex 4 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=octahedron
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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> = (√2)/3 × (Edge Length)<sup>3</sup></p>
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<p class="center"><b>Surface Area</b> = 2 × √3 × (Edge Length)<sup>2</sup></p>
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<div class="words">
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<p style="float:right; margin: 0 0 5px 10px;"><img src="images/poly-octahedron.svg" alt="Octahedron" height="66" width="66"></p>
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<p>It is called an <i>octahedron</i> because it is a <a href="polyhedron.html">polyhedron</a> that has 8 (<i>octa-</i>) faces, (like an <i>octopus</i> has 8 tentacles)</p>
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<p>When we have more than one octahedron they are called <b>octahedra</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/hexagonal-prism.jpg" alt="hexagonal prism" height="132" width="120"></p>
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<p>When we say "octahedron" we often mean "regular octahedron" (in other words all faces are the same size and shape), but it doesn't <i>have</i> to be - this is <b>also</b> an octahedron, even though all faces are not the same. (But it may be better to call it a hexagonal <a href="prisms.html">prism</a>).</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-octahedron.jpg" alt="dice octahedron" height="150" width="123"></p>
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<p><b>8-Sided Dice?</b> Yes! An octahedron that has 8 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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<div style="clear:both"></div>
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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="octahedron-model.html">Make your own Octahedron</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="octahedron-model.html"><img src="images/octahedron-model-thumb.svg" alt="Octahedron 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">1856, 1857, 1858, 1859</div>
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<div class="related">
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<a href="../platonic_solids.html">Platonic Solids</a>
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<a href="solid-geometry.html">Solid Geometry</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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</body><!-- #EndTemplate -->
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