In seven-dimensional geometry, a pentic 7-cube is a convex uniform 7-polytope, related to the uniform 7-demicube. There are 8 unique forms. The Cartesian...

six-dimensional geometry, a pentic 6-cube is a convex uniform 6-polytope. There are 8 pentic forms of the 6-cube. The pentic 6-cube, , has half of the vertices...

{3[8]} C ~ 7 {\displaystyle {\tilde {C}}_{7}} 135 uniquely ringed forms, including: Regular 7-cube honeycomb: {4,34,4} = {4,34,31,1}, = B ~ 7 {\displaystyle...

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 regular 7-polytopes. The...

In 7-dimensional geometry, there are 95 uniform polytopes with D7 symmetry; 32 are unique, and 63 are shared with the B7 symmetry. There are two regular...

honeycomb, and a quarter of the vertices of a 8-cube honeycomb. Its facets are 8-demicubes h{4,36}, pentic 8-cubes h6{4,36}, {3,3}×{32,1,1} and {31,1,1}×{31...

8-demicube (hocto) 2 = cantic 8-cube (thocto) 3 = runcic 8-cube 4 = steric 8-cube 5 = pentic 8-cube 6 = hexic 8-cube 7 = heptic 8-cube 8 = 9 = 10 = 11 = 12 = 13...

symmetry exists in these polytopes. These 16 polytopes are each shown in these 7 symmetry planes, with vertices and edges drawn, and vertices colored by the...

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) {3,3,3,3,4}. Regular...