Stericated 5-simplexes
In five-dimensional geometry, a stericated 5-simplex is a convex uniform 5-polytope with fourth-order truncations (sterication) of the regular 5-simplex.
5-simplex |
Stericated 5-simplex | ||
Steritruncated 5-simplex |
Stericantellated 5-simplex | ||
Stericantitruncated 5-simplex |
Steriruncitruncated 5-simplex | ||
Steriruncicantitruncated 5-simplex (Omnitruncated 5-simplex) | |||
Orthogonal projections in A5 and A4 Coxeter planes |
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There are six unique sterications of the 5-simplex, including permutations of truncations, cantellations, and runcinations. The simplest stericated 5-simplex is also called an expanded 5-simplex, with the first and last nodes ringed, for being constructible by an expansion operation applied to the regular 5-simplex. The highest form, the steriruncicantitruncated 5-simplex is more simply called an omnitruncated 5-simplex with all of the nodes ringed.
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