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pentellated 8-simplex is a convex uniform 8-polytope with 5th order truncations of the regular 8-simplex. There are two unique pentellations of the 8-simplex
Pentellated_8-simplexes
Uniform 6-polytope
cross-section of the pentellated 6-simplex with a 5-dimensional hyperplane is a stericated hexateron. This cross-section divides the pentellated 6-simplex into
Pentellated_6-simplexes
Seven-dimensional geometric object
Coxeter-Dynkin diagrams: The A7 family has symmetry of order 40320 (8 factorial). There are 71 (64 + 8 − 1) forms based on all permutations of the Coxeter-Dynkin
Uniform_7-polytope
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PENTELLATED 8-SIMPLEXES