seven-dimensional geometry, a pentellated 7-simplex is a convex uniform 7-polytope with 5th order truncations (pentellation) of the regular 7-simplex. There are...

of 7 5-simplexes, 21 5-cell prisms and 35 Tetrahedral-Triangular duoprisms each. The vertices of the pentellated 6-simplex can be positioned in 7-space...

the pentellated 8-simplex, while the bipentellated 8-simple is doubled to [18] symmetry. The Cartesian coordinates of the vertices of the pentellated 8-simplex...

them are better constructed from the 6-orthoplex given at pentellated 6-orthoplex. Pentellated 6-orthoplex Expanded 6-cube, expanded 6-orthoplex Small...