Truncated 8-cubes
In eight-dimensional geometry, a truncated 8-cube is a convex uniform 8-polytope, being a truncation of the regular 8-cube.
There are unique 7 degrees of truncation for the 8-cube. Vertices of the truncation 8-cube are located as pairs on the edge of the 8-cube. Vertices of the bitruncated 8-cube are located on the square faces of the 8-cube. Vertices of the tritruncated 7-cube are located inside the cubic cells of the 8-cube. The final truncations are best expressed relative to the 8-orthoplex.- Truncated octeract
Coordinates
for the vertices of a truncated 8-cube, centered at the origin, are all 224 vertices are sign and coordinate permutations ofImages
The truncated 8-cube, is seventh in a sequence of truncated hypercubes:Bitruncated 8-cube
Alternate names
- Bitruncated octeract
Coordinates
for the vertices of a truncated 8-cube, centered at the origin, are all the sign coordinate permutations ofImages
Related polytopes
The bitruncated 8-cube is sixth in a sequence of bitruncated hypercubes:Tritruncated 8-cube
Alternate names
- Tritruncated octeract
Coordinates
for the vertices of a truncated 8-cube, centered at the origin, are all the sign coordinate permutations ofImages
Quadritruncated 8-cube
Alternate names
- Quadritruncated octeract
Coordinates
for the vertices of a bitruncated 8-orthoplex, centered at the origin, are all sign and coordinate permutations ofImages
Related polytopes
