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Runcinated 5-cubes
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<table><tbody><tr><td>5-cube</td><td>Runcinated 5-cube</td><td><a href="/facts/Runcinated_5-orthoplex/IcsgoFAF">Runcinated 5-orthoplex</a></td></tr><tr><td>Runcitruncated 5-cube</td><td>Runcicantellated 5-cube</td><td>Runcicantitruncated 5-cube</td></tr><tr><td><a href="/facts/Runcitruncated_5-orthoplex/IcsgoFAF">Runcitruncated 5-orthoplex</a></td><td><a href="/facts/Runcicantellated_5-orthoplex/IcsgoFAF">Runcicantellated 5-orthoplex</a></td><td><a href="/facts/Runcicantitruncated_5-orthoplex/IcsgoFAF">Runcicantitruncated 5-orthoplex</a></td></tr><tr><th colspan="3"><a href="/facts/Orthogonal_projection/sElXGkxD">Orthogonal projections</a> in B5 <a href="/facts/Coxeter_plane/4B80wH8V">Coxeter plane</a></th></tr></tbody></table> <p>In five-dimensional <a href="/facts/Geometry/wTQf5ffQ">geometry</a>, a runcinated 5-cube is a convex <a href="/facts/Uniform_5-polytope/mqxsoqwY">uniform 5-polytope</a> that is a <a href="/facts/Runcination/nwUxfUIX">runcination</a> (a 3rd order truncation) of the regular <a href="/facts/5-cube/XABdhjof">5-cube</a>. </p><p>There are 8 unique degrees of runcinations of the 5-cube, along with permutations of truncations and cantellations. Four are more simply constructed relative to the <a href="/facts/5-orthoplex/vU1TvdQ1">5-orthoplex</a>. </p>