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triangular prisms), and 27 4-faces (6 cantellated 5-cell, 6 rectified 5-cells, and 15 tetrahedral prisms). Cantellated hexateron Small rhombated hexateron
Cantellated_5-simplexes
construction is based on facets of the bicantitruncated 7-orthoplex. The cantellated 6-simplexes are in a set of 35 uniform 6-polytopes based on the [3,3,3,3,3]
Cantellated_6-simplexes
In seven-dimensional geometry, a cantellated 7-simplex is a convex uniform 7-polytope, being a cantellation of the regular 7-simplex. There are unique
Cantellated_7-simplexes
In eight-dimensional geometry, a cantellated 8-simplex is a convex uniform 8-polytope, being a cantellation of the regular 8-simplex. There are six unique
Cantellated_8-simplexes
Polytope in 8-dimensional geometry
that are facets of 7-simplexes. Since every 7-orthoplex has 128 (27) 6-simplex facets, half of which are not incident to 7-simplexes, the 421 polytope has
4_21_polytope
Uniform polychoron
containing all simplexes and orthoplexes (tetrahedrons and octahedrons in the case of the rectified 5-cell). The Coxeter symbol for the rectified 5-cell is 021
Rectified_5-cell
geometry, a truncated 5-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 5-cell. There are two degrees
Truncated_5-cell
Class of eight-dimensional polytopes
8-simplex Bisteriruncitruncated 8-simplex Sterirunci-cantellated 8-simplex Bisterirunci-cantellated 8-simplex Steriruncicanti-truncated 8-simplex
Stericated_8-simplexes
Four-dimensional analog of the dodecahedron
unless it is all 5 vertices. It is impossible to rotate two concentric 4-simplexes with respect to each other such that some, but not all, of their vertices
120-cell
Seven-dimensional geometric object
geometry, a 7-polytope is a polytope contained by 6-polytope facets. Each 5-polytope ridge being shared by exactly two 6-polytope facets. A uniform 7-polytope
Uniform_7-polytope
CANTELLATED 5-SIMPLEXES
CANTELLATED 5-SIMPLEXES
CANTELLATED 5-SIMPLEXES
CANTELLATED 5-SIMPLEXES
CANTELLATED 5-SIMPLEXES
CANTELLATED 5-SIMPLEXES
CANTELLATED 5-SIMPLEXES
CANTELLATED 5-SIMPLEXES
CANTELLATED 5-SIMPLEXES