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Truncated 7-cubes
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<table><tbody><tr><td><a href="/facts/7-cube/4af1W7tq">7-cube</a></td><td>Truncated 7-cube</td><td>Bitruncated 7-cube</td><td>Tritruncated 7-cube</td></tr><tr><td><a href="/facts/7-orthoplex/mIJa3rQp">7-orthoplex</a></td><td><a href="/facts/Truncated_7-orthoplex/51j7Iq3F">Truncated 7-orthoplex</a></td><td><a href="/facts/Bitruncated_7-orthoplex/51j7Iq3F">Bitruncated 7-orthoplex</a></td><td><a href="/facts/Tritruncated_7-orthoplex/51j7Iq3F">Tritruncated 7-orthoplex</a></td></tr><tr><th colspan="4"><a href="/facts/Orthogonal_projection/sElXGkxD">Orthogonal projections</a> in B7 <a href="/facts/Coxeter_plane/4B80wH8V">Coxeter plane</a></th></tr></tbody></table> <p>In seven-dimensional <a href="/facts/Geometry/wTQf5ffQ">geometry</a>, a truncated 7-cube is a convex <a href="/facts/Uniform_7-polytope/suCJSvTN">uniform 7-polytope</a>, being a <a href="/facts/Truncation_(geometry)/DYb589Je">truncation</a> of the regular <a href="/facts/7-cube/4af1W7tq">7-cube</a>. </p><p>There are 6 truncations for the 7-cube. Vertices of the <i>truncated 7-cube</i> are located as pairs on the edge of the 7-cube. Vertices of the <i>bitruncated 7-cube</i> are located on the square faces of the 7-cube. Vertices of the <i>tritruncated 7-cube</i> are located inside the <a href="/facts/Cube/65lUaAqN">cubic</a> cells of the 7-cube. The final three truncations are best expressed relative to the 7-orthoplex. </p>