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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] Coxeter group
Cantellated_6-simplexes
In five-dimensional geometry, a cantellated 5-simplex is a convex uniform 5-polytope, being a cantellation of the regular 5-simplex. There are unique
Cantellated_5-simplexes
seven-dimensional geometry, a cantellated 7-simplex is a convex uniform 7-polytope, being a cantellation of the regular 7-simplex. There are unique 6 degrees of cantellation
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
has 7 6-simplex facets, each incident to no other 6-simplex, the 421 polytope has 120,960 (7×17,280) 6-simplex faces that are facets of 7-simplexes. Since
4_21_polytope
Class of eight-dimensional polytopes
Weiss, Wiley-Interscience Publication, 1995, wiley.com, ISBN 978-0-471-01003-6 (Paper 22) H.S.M. Coxeter, Regular and Semi-Regular Polytopes I, [Math. Zeit
Stericated_8-simplexes
Seven-dimensional geometric object
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 is
Uniform_7-polytope
Uniform polychoron
series in 1900 as containing all regular polytope facets, containing all simplexes and orthoplexes (tetrahedrons and octahedrons in the case of the rectified
Rectified_5-cell
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
Weiss, Wiley-Interscience Publication, 1995, wiley.com, ISBN 978-0-471-01003-6 (Paper 22) H.S.M. Coxeter, Regular and Semi-Regular Polytopes I, [Math. Zeit
Truncated_5-cell
CANTELLATED 6-SIMPLEXES
CANTELLATED 6-SIMPLEXES
CANTELLATED 6-SIMPLEXES
CANTELLATED 6-SIMPLEXES
CANTELLATED 6-SIMPLEXES
CANTELLATED 6-SIMPLEXES
CANTELLATED 6-SIMPLEXES
CANTELLATED 6-SIMPLEXES
CANTELLATED 6-SIMPLEXES