Truncated 6-orthoplexes
In six-dimensional geometry, a truncated 6-orthoplex is a convex uniform 6-polytope, being a truncation of the regular 6-orthoplex.
There are 5 degrees of truncation for the 6-orthoplex. Vertices of the truncated 6-orthoplex are located as pairs on the edge of the 6-orthoplex. Vertices of the bitruncated 6-orthoplex are located on the triangular faces of the 6-orthoplex. Vertices of the tritruncated 6-orthoplex are located inside the tetrahedral cells of the 6-orthoplex.- Truncated hexacross
- Truncated hexacontatetrapeton
Construction
There are two Coxeter groups associated with the truncated hexacross, one with the C6 or Coxeter group, and a lower symmetry with the D6 or Coxeter group.Coordinates
for the vertices of a truncated 6-orthoplex, centered at the origin, are all 120 vertices are sign and coordinate permutations ofImages
Bitruncated 6-orthoplex
Alternate names
- Bitruncated hexacross
- Bitruncated hexacontatetrapeton
Images
These polytopes are a part of a set of 63 uniform 6-polytopes generated from the B6 Coxeter plane, including the regular 6-cube or 6-orthoplex.
