Runcinated 8-simplexes

In eight-dimensional geometry, a runcinated 8-simplex is a convex uniform 8-polytope with 3rd order truncations (runcination) of the regular 8-simplex.

Orthogonal projections in A₈ Coxeter plane
8-simplex	Runcinated 8-simplex	Biruncinated 8-simplex	Triruncinated 8-simplex
Runcitruncated 8-simplex	Biruncitruncated 8-simplex	Triruncitruncated 8-simplex	Runcicantellated 8-simplex
Biruncicantellated 8-simplex	Runcicantitruncated 8-simplex	Biruncicantitruncated 8-simplex	Triruncicantitruncated 8-simplex

There are eleven unique runcinations of the 8-simplex, including permutations of truncation and cantellation. The triruncinated 8-simplex and triruncicantitruncated 8-simplex have a doubled symmetry, showing [18] order reflectional symmetry in the A₈ Coxeter plane.

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.