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Runcinated tesseracts
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<table><tbody><tr><td><a href="/facts/Tesseract/tlqouBoU">Tesseract</a></td><td>Runcinated tesseract(Runcinated 16-cell)</td><td><a href="/facts/16-cell/X0YAfobw">16-cell</a></td></tr><tr><td>Runcitruncated tesseract(Runcicantellated 16-cell)</td><td>Runcitruncated 16-cell(Runcicantellated tesseract)</td><td>Omnitruncated tesseract(Omnitruncated 16-cell)</td></tr><tr><th colspan="3"><a href="/facts/Orthogonal_projection/sElXGkxD">Orthogonal projections</a> in B4 <a href="/facts/Coxeter_plane/4B80wH8V">Coxeter plane</a></th></tr></tbody></table> <p>In four-dimensional <a href="/facts/Geometry/wTQf5ffQ">geometry</a>, a runcinated tesseract (or <i>runcinated 16-cell</i>) is a convex <a href="/facts/Uniform_4-polytope/NHxomMxC">uniform 4-polytope</a>, being a <a href="/facts/Runcination/nwUxfUIX">runcination</a> (a 3rd order truncation) of the regular <a href="/facts/Tesseract/tlqouBoU">tesseract</a>. </p><p>There are 4 variations of runcinations of the tesseract including with permutations truncations and cantellations. </p>