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Truncated 5-cubes
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<table><tbody><tr><td><a href="/facts/5-cube/XABdhjof">5-cube</a></td><td>Truncated 5-cube</td><td>Bitruncated 5-cube</td></tr><tr><td><a href="/facts/5-orthoplex/vU1TvdQ1">5-orthoplex</a></td><td><a href="/facts/Truncated_5-orthoplex/EMvxIKtY">Truncated 5-orthoplex</a></td><td><a href="/facts/Bitruncated_5-orthoplex/EMvxIKtY">Bitruncated 5-orthoplex</a></td></tr><tr><th colspan="4"><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 truncated 5-cube is a convex <a href="/facts/Uniform_5-polytope/mqxsoqwY">uniform 5-polytope</a>, being a <a href="/facts/Truncation_(geometry)/DYb589Je">truncation</a> of the regular <a href="/facts/5-cube/XABdhjof">5-cube</a>. </p><p>There are four unique truncations of the 5-cube. Vertices of the truncated 5-cube are located as pairs on the edge of the 5-cube. Vertices of the bitruncated 5-cube are located on the square faces of the 5-cube. The third and fourth truncations are more easily constructed as second and first truncations of the 5-orthoplex. </p>