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Rombic Dodecaedron
klanunk
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5-20-2009 12:27 PM
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<div style="margin: 12px 0px; font-family: arial; color: #333333; background: #ffffff; border: solid 4px #e5e5e5; width: 100%; clear: left;"><div class="CM_CTB_Content_Wrap" style="margin: 0px; padding: 0px;background-color: #ffffff;"><div style="border-bottom: solid 1px #dcdcdc; white-space: nowrap; margin-bottom: 8px; background-color: #eeeeee ;background-image: url(http://clipmarks.com/images/source-bg.gif); background-repeat: repeat-x; height: 24px; line-height: 24px; vertical-align: middle; padding-bottom: 4px; color: #666666; font-size: 10px;" ><a href="http://clipmarks.com/clip-to-blog/" title="see clips that are hot right now"><img src="http://content.clipmarks.com/blog_embed/94345c06-012e-4001-9391-f9d2b82a93ef/8D84982D-775D-4B75-96CD-880D4099869C/" alt="" width="19" height="19" border="0" style="vertical-align: middle; margin: 0px 4px; display: inline; border: none; float:none;" /></a>clipped from <a title="http://www.sciencenews.org/view/generic/id/40017/title/When_art_and_math_collide" href="http://www.sciencenews.org/view/generic/id/40017/title/When_art_and_math_collide" style="font-size: 11px;">www.sciencenews.org</a></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.sciencenews.org/view/generic/id/40017/title/When_art_and_math_collide"><P>The symmetries of a rhombic dodecahedron, it turns out, are the same as a cube, even though the two are different shapes. Imagine, for example, holding the cube by putting one finger in the middle of a face and the other in the middle of the face directly opposite; you could then keep your fingers still, spin the cube by 90 degrees and have it line up exactly as it was. Your fingers were on either side of an axis of four-fold symmetry. You could do the same with the rhombic dodecahedron.</P></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.sciencenews.org/view/generic/id/40017/title/When_art_and_math_collide"><P>Because a cube has three pairs of faces, the cube has three axes of four-fold symmetry — and so does the rhombic dodecahedron. In addition, the cube and the rhombic dodecahedron have four axes of three-fold symmetry (if your fingers are on corners of the cube that are diagonally opposite) and six axes of two-fold symmetry (if your fingers are on edges of the cube that are diagonally opposite).</P></blockquote></div><div style="margin: 0px 6px 6px 4px;"><table style="font-size: 11px;border-spacing: 0px;padding: 0px;" cellpadding="0" cellspacing="0" width="100%"><tr><td style="background:transparent;border-width:0px;padding:0px;"> </td><td align="right" style="background:transparent;border-width:0px;padding:0px;width:107px" width="107"><a href="http://clipmarks.com/share/8D84982D-775D-4B75-96CD-880D4099869C/blog/" title="blog or email this clip"><img src="http://content9.clipmarks.com/images/c2b-foot.png" border="0" alt="blog it" width="107" height="17" style="border-width:0px;padding:0px;margin:0px;" /></a></td></tr></table></div></div>
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