Truncated 8-orthoplexes


In eight-dimensional geometry, a truncated 8-orthoplex is a convex uniform 8-polytope, being a truncation of the regular 8-orthoplex.
There are 7 truncation for the 8-orthoplex. Vertices of the truncation 8-orthoplex are located as pairs on the edge of the 8-orthoplex. Vertices of the bitruncated 8-orthoplex are located on the triangular faces of the 8-orthoplex. Vertices of the tritruncated 7-orthoplex are located inside the tetrahedral cells of the 8-orthoplex. The final truncations are best expressed relative to the 8-cube.

Truncated 8-orthoplex

Alternate names

There are two Coxeter groups associated with the truncated 8-orthoplex, one with the C8 or Coxeter group, and a lower symmetry with the D8 or Coxeter group.

Coordinates

for the vertices of a truncated 8-orthoplex, centered at the origin, are all 224 vertices are sign and coordinate permutations of

Images

Bitruncated 8-orthoplex

Alternate names

for the vertices of a bitruncated 8-orthoplex, centered at the origin, are all sign and coordinate permutations of

Images

Tritruncated 8-orthoplex

Alternate names

for the vertices of a bitruncated 8-orthoplex, centered at the origin, are all sign and coordinate permutations of

Images