Cantellated 5-cubes


In six-dimensional geometry, a cantellated 5-cube is a convex uniform 5-polytope, being a cantellation of the regular 5-cube.
There are 6 unique cantellation for the 5-cube, including truncations. Half of them are more easily constructed from the dual 5-orthoplex

Cantellated 5-cube

Alternate names

The Cartesian coordinates of the vertices of a cantellated 5-cube having edge length 2 are all permutations of:

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Bicantellated 5-cube

In five-dimensional geometry, a bicantellated 5-cube is a uniform 5-polytope.

Alternate names

The Cartesian coordinates of the vertices of a bicantellated 5-cube having edge length 2 are all permutations of:

Images

Cantitruncated 5-cube

Alternate names

The Cartesian coordinates of the vertices of an cantitruncated 5-cube having an edge length of 2 are given by all permutations of coordinates and sign of:

Images

Bicantitruncated 5-cube

Alternate names

for the vertices of a bicantitruncated 5-cube, centered at the origin, are all sign and coordinate permutations of

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Related polytopes

These polytopes are from a set of 31 uniform 5-polytopes generated from the regular 5-cube or 5-orthoplex.
It is third in a series of cantitruncated hypercubes: