Truncated 7-cubes
In seven-dimensional geometry, a truncated 7-cube is a convex uniform 7-polytope, being a truncation of the regular 7-cube.
There are 6 truncations for the 7-cube. Vertices of the truncated 7-cube are located as pairs on the edge of the 7-cube. Vertices of the bitruncated 7-cube are located on the square faces of the 7-cube. Vertices of the tritruncated 7-cube are located inside the cubic cells of the 7-cube. The final three truncations are best expressed relative to the 7-orthoplex.- Truncated hepteract
Coordinates
for the vertices of a truncated 7-cube, centered at the origin, are all sign and coordinate permutations ofImages
The truncated 7-cube, is sixth in a sequence of truncated hypercubes:Bitruncated 7-cube
Alternate names
- Bitruncated hepteract
Coordinates
for the vertices of a bitruncated 7-cube, centered at the origin, are all sign and coordinate permutations ofImages
Related polytopes
The bitruncated 7-cube is fifth in a sequence of bitruncated hypercubes:Tritruncated 7-cube
Alternate names
- Tritruncated hepteract
Coordinates
for the vertices of a tritruncated 7-cube, centered at the origin, are all sign and coordinate permutations ofImages
