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<dl><dd><img class="tex" alt="\Psi = \frac{\pi^{\frac{1}{3}}(6V_p)^{\frac{2}{3}}}{A_p}" src="http://upload.wikimedia.org/math/e/a/2/ea230750eba82fd8fe1b178ea651d242.png" /></dd></dl>
<p>where <span class="texhtml"><em>V</em><sub><em>p</em></sub></span> is volume of the particle and <span class="texhtml"><em>A</em><sub><em>p</em></sub></span> is the surface area of the particle</p>
<p> </p>
<h2><span class="mw-headline">Ellipsoidal Objects</span></h2>
<tr>
<td>tetrahedron</td>
<td><img height="47" alt="Tetrahedron" width="50" border="0" src="http://upload.wikimedia.org/wikipedia/commons/thumb/8/83/Tetrahedron.jpg/50px-Tetrahedron.jpg" width="50" border="0" /></td>
<td><img class="tex" alt="\frac{\sqrt{2}}{12}\,s^3" src="http://upload.wikimedia.org/math/f/0/3/f03ea7115c243660a2ea99e73ad310db.png" /></td>
<td><img class="tex" alt="\sqrt{3}\,s^2" src="http://upload.wikimedia.org/math/0/a/6/0a6e48b85549c8b6512fdd3906ac8aa6.png" /></td>
<tr>
<td>cube (hexahedron)</td>
<td><img height="56" alt="Hexahedron (cube)" width="50" border="0" src="http://upload.wikimedia.org/wikipedia/commons/thumb/7/78/Hexahedron.jpg/50px-Hexahedron.jpg" width="50" border="0" /></td>
<td><img class="tex" alt="\,s^3" src="http://upload.wikimedia.org/math/7/9/9/7998c630c83b898c1fdb72d667936996.png" /></td>
<td><img class="tex" alt="6\,s^2" src="http://upload.wikimedia.org/math/b/4/7/b472474af030c5d9cf3620a43c5e417b.png" /></td>
<tr>
<td>octahedron</td>
<td><img height="50" alt="Octahedron" width="50" border="0" src="http://upload.wikimedia.org/wikipedia/commons/thumb/0/07/Octahedron.svg/50px-Octahedron.svg.png" width="50" border="0" /></td>
<td><img class="tex" alt=" \frac{1}{3} \sqrt{2}\, s^3" src="http://upload.wikimedia.org/math/d/5/c/d5c9af02c97d15e54291f3ddce4d2211.png" /></td>
<td><img class="tex" alt=" 2 \sqrt{3}\, s^2" src="http://upload.wikimedia.org/math/2/9/3/2935e3febfb41a617e0fea6efc2bab02.png" /></td>
<tr>
<td>dodecahedron</td>
<td><img height="48" alt="Dodecahedron" width="50" border="0" src="http://upload.wikimedia.org/wikipedia/commons/thumb/6/66/POV-Ray-Dodecahedron.svg/50px-POV-Ray-Dodecahedron.svg.png" width="50" border="0" /></td>
<td><img class="tex" alt=" \frac{1}{4} \left(15 + 7\sqrt{5}\right)\, s^3" src="http://upload.wikimedia.org/math/c/2/7/c2750faa2f4f0b5a934390dd3d135dd2.png" /></td>
<td><img class="tex" alt=" 3 \sqrt{25 + 10\sqrt{5}}\, s^2" src="http://upload.wikimedia.org/math/1/9/b/19bcc8e5c2da1d6a9c9290e3bbb55011.png" /></td>
<tr>
<td>icosahedron</td>
<td><img height="48" alt="Icosahedron" width="50" border="0" src="http://upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Icosahedron.jpg/50px-Icosahedron.jpg" width="50" border="0" /></td>
<td><img class="tex" alt="\frac{5}{12}\left(3+\sqrt{5}\right)\, s^3" src="http://upload.wikimedia.org/math/7/7/e/77ee1cd7a4858ddfa2a994c29d7d2db5.png" /></td>
<td><img class="tex" alt="5\sqrt{3}\,s^2" src="http://upload.wikimedia.org/math/0/f/5/0f589b4ae2f26ce5c4b29705a02d3498.png" /></td>
<h2><span class="mw-headline">References</span></h2>
<ol class="references">
<li id="cite_note-0"><strong>^</strong> <cite style="FONT-STYLE: normal">Wadell, Hakon (1935). "Volume, Shape and Roundness of Quartz Particles". <em>Journal of Geology</em> <strong>43</strong>: 250–280.</cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Volume%2C+Shape+and+Roundness+of+Quartz+Particles&rft.jtitle=Journal+of+Geology&rft.date=1935&rft.volume=43&rft.aulast=Wadell&rft.aufirst=Hakon&rft.pages=250%E2%80%93280"> </span></li>
</ol>
<p> </p>
<h2><span class="mw-headline">See also</span></h2>
<ul>
<li>Rounding (sediment)</li>
</ul>
<p><a id="External_links" name="External_links"></a></p>
<h2><span class="mw-headline">External links</span></h2>
<ul>
<li><a class="external text" title="http://www.howround.com/" rel="nofollow" href="http://www.howround.com/" rel="nofollow">How round is your circle?</a></li> <li><a class="external text" title="http://people.uncw.edu/dockal/gly312/grains/grains.htm" rel="nofollow" href="http://people.uncw.edu/dockal/gly312/grains/grains.htm" rel="nofollow">Grain Morphology: Roundness, Surface Features, and Sphericity of Grains</a></li>
</ul>
