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Rectified 8-orthoplexes
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<table><tbody><tr><td><a href="/facts/8-orthoplex/dXFkXtPn">8-orthoplex</a></td><td>Rectified 8-orthoplex</td><td>Birectified 8-orthoplex</td><td>Trirectified 8-orthoplex</td></tr><tr><td><a href="/facts/Trirectified_8-cube/Gvwn9bHr">Trirectified 8-cube</a></td><td><a href="/facts/Birectified_8-cube/Gvwn9bHr">Birectified 8-cube</a></td><td><a href="/facts/Rectified_8-cube/Gvwn9bHr">Rectified 8-cube</a></td><td><a href="/facts/8-cube/vEpKH3le">8-cube</a></td></tr><tr><th colspan="4"><a href="/facts/Orthogonal_projection/sElXGkxD">Orthogonal projections</a> in A8 <a href="/facts/Coxeter_plane/4B80wH8V">Coxeter plane</a></th></tr></tbody></table> <p>In eight-dimensional <a href="/facts/Geometry/wTQf5ffQ">geometry</a>, a rectified 8-orthoplex is a convex <a href="/facts/Uniform_8-polytope/M93v3h3c">uniform 8-polytope</a>, being a <a href="/facts/Rectification_(geometry)/PkoUdq53">rectification</a> of the regular <a href="/facts/8-orthoplex/dXFkXtPn">8-orthoplex</a>. </p><p>There are unique 8 degrees of rectifications, the zeroth being the <a href="/facts/8-orthoplex/dXFkXtPn">8-orthoplex</a>, and the 7th and last being the <a href="/facts/8-cube/vEpKH3le">8-cube</a>. Vertices of the rectified 8-orthoplex are located at the edge-centers of the 8-orthoplex. Vertices of the birectified 8-orthoplex are located in the triangular face centers of the 8-orthoplex. Vertices of the trirectified 8-orthoplex are located in the <a href="/facts/Tetrahedron/7mkSrl6j">tetrahedral</a> cell centers of the 8-orthoplex. </p>