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geometry, a stericated 8-simplex is a convex uniform 8-polytope with 4th order truncations (sterication) of the regular 8-simplex. There are 16 unique sterications...

capto) (Jonathan Bowers) The vertices of the steriruncitruncated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,0,1,2,2,3,4)...

construction exists as one of 64 orthant facets of the steriruncitruncated 6-orthoplex. The omnitruncated 5-simplex has 720 vertices, 1800 edges, 1560 faces (480...

6-simplex can be most simply positioned in 7-space as permutations of (0,0,0,1,2,3,4). This construction is based on facets of the steriruncitruncated 7-orthoplex...

1+2{\sqrt {2}},\ 1+3{\sqrt {2}}\right)} Steriruncitruncated penteract / Steriruncitruncated 5-orthoplex / Steriruncitruncated pentacross Celliprismatotruncated...

convex regular 8-polytopes: {3,3,3,3,3,3,3} - 8-simplex {4,3,3,3,3,3,3} - 8-cube {3,3,3,3,3,3,4} - 8-orthoplex There are no nonconvex regular 8-polytopes....

7-orthoplex Bistericantitruncated 7-orthoplex Steriruncinated 7-orthoplex Steriruncitruncated 7-orthoplex Steriruncicantellated 7-orthoplex Bisteriruncitruncated...

as a sterication (4th order truncation) of the regular 6-cube. There are 8 unique sterications for the 6-cube with permutations of truncations, cantellations...

6-orthoplex Stericantitruncated 6-orthoplex Steriruncinated 6-orthoplex Steriruncitruncated 6-orthoplex Steriruncicantellated 6-orthoplex Steriruncicantitruncated...

In 8-dimensional geometry, there are 135 uniform polytopes with A8 symmetry. There is one self-dual regular form, the 8-simplex with 9 vertices. Each can...

Stericantitruncated 7-cube Bistericantitruncated 7-cube Steriruncinated 7-cube Steriruncitruncated 7-cube Steriruncicantellated 7-cube Bisteriruncitruncated 7-cube...

polytopes with A7 symmetry. There is one self-dual regular form, the 7-simplex with 8 vertices. Each can be visualized as symmetric orthographic projections...

polytopes with A6 symmetry. There is one self-dual regular form, the 6-simplex with 7 vertices. Each can be visualized as symmetric orthographic projections...

{A}}_{4}} , family, all new, including: 4-simplex honeycomb Truncated 4-simplex honeycomb Omnitruncated 4-simplex honeycomb There are 9 uniquely ringed forms...

a convex uniform 7-polytope, related to the uniform 7-demicube. There are 8 unique forms. The Cartesian coordinates for the vertices of a pentic 7-cube...

In 8-dimensional geometry, there are 256 uniform polytopes with B8 symmetry. There are two regular forms, the 8-orthoplex and 8-cube, with 16 and 256 vertices...

7-demicube 132 • 231 • 321 Uniform 8-polytope 8-simplex 8-orthoplex • 8-cube 8-demicube 142 • 241 • 421 Uniform 9-polytope 9-simplex 9-orthoplex • 9-cube 9-demicube...

symmetry, and Bk has [2k] symmetry. These 64 polytopes are each shown in these 8 symmetry planes, with vertices and edges drawn, and vertices colored by the...

There are exactly three such convex regular 7-polytopes: {3,3,3,3,3,3} - 7-simplex {4,3,3,3,3,3} - 7-cube {3,3,3,3,3,4} - 7-orthoplex There are no nonconvex...

6-polytope. The simplest uniform polypeta are regular polytopes: the 6-simplex {3,3,3,3,3}, the 6-cube (hexeract) {4,3,3,3,3}, and the 6-orthoplex (hexacross)...