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Runcinated 5-cell
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<table><tbody><tr><td><a href="/facts/5-cell/Rh6lwDcc">5-cell</a></td><td>Runcinated 5-cell</td></tr><tr><td>Runcitruncated 5-cell</td><td>Omnitruncated 5-cell(Runcicantitruncated 5-cell)</td></tr><tr><th colspan="2"><a href="/facts/Orthogonal_projection/sElXGkxD">Orthogonal projections</a> in A4 <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 5-cell 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, up to <a href="/facts/Face_(geometry)/T2E6BTU4">face-planing</a>) of the regular <a href="/facts/5-cell/Rh6lwDcc">5-cell</a>. </p><p>There are 3 unique degrees of runcinations of the 5-cell, including with permutations, truncations, and cantellations. </p>