Truncated 6-cubes
In six-dimensional geometry, a truncated 6-cube is a convex uniform 6-polytope, being a truncation of the regular 6-cube.
There are 5 truncations for the 6-cube. Vertices of the truncated 6-cube are located as pairs on the edge of the 6-cube. Vertices of the bitruncated 6-cube are located on the square faces of the 6-cube. Vertices of the tritruncated 6-cube are located inside the cubic cells of the 6-cube.The truncated 6-cube may be constructed by truncating the vertices of the 6-cube at of the edge length. A regular 5-simplex replaces each original vertex.
The Cartesian coordinates of the vertices of a truncated 6-cube having edge length 2 are the permutations of:Images
The truncated 6-cube, is fifth in a sequence of truncated hypercubes:Bitruncated 6-cube
Alternate names
- Bitruncated hexeract
Construction and coordinates
The Cartesian coordinates of the vertices of a bitruncated 6-cube having edge length 2 are the permutations of:Images
Related polytopes
The bitruncated 6-cube is fourth in a sequence of bitruncated hypercubes:Tritruncated 6-cube
Alternate names
- Tritruncated hexeract
Construction and coordinates
The Cartesian coordinates of the vertices of a tritruncated 6-cube having edge length 2 are the permutations of:Images
Related polytopes
Related polytopes
These polytopes are from a set of 63 Uniform 6-polytopes generated from the B6 Coxeter plane, including the regular 6-cube or 6-orthoplex.
