seven-dimensional geometry, a cantic 7-cube or truncated 7-demicube as a uniform 7-polytope, being a truncation of the 7-demicube. A uniform 7-polytope is vertex-transitive...

In geometry of five dimensions or higher, a cantic 5-cube, cantihalf 5-cube, truncated 5-demicube is a uniform 5-polytope, being a truncation of the 5-demicube...

In six-dimensional geometry, a cantic 6-cube (or a truncated 6-demicube) is a uniform 6-polytope. Truncated 6-demicube/demihexeract (Acronym thax) (Jonathan...

tetrahedral cells. A truncated 16-cell, as a cantic 4-cube, is related to the dimensional family of cantic n-cubes: Klitzing, (o3o3o4o - tat) Klitzing, (o3x3x4o...

In eight-dimensional geometry, a cantic 8-cube or truncated 8-demicube is a uniform 8-polytope, being a truncation of the 8-demicube. Truncated demiocteract...

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...

volume V {\displaystyle V} is: A = 7 3 a 2 ≈ 12.124 a 2 , V = 23 12 2 a 3 ≈ 2.711 a 3 . {\displaystyle {\begin{aligned}A&=7{\sqrt {3}}a^{2}&&\approx 12.124a^{2}...

by the symmetry of rings in the Coxeter–Dynkin diagrams: The cantic cubic honeycomb, cantic cubic cellulation or truncated half cubic honeycomb is a uniform...

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...

constructed from a cube by drawing a smaller one in the middle of each face, parallel to the cube's edges. After removing the edges of a cube, the squares may...