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In five-dimensional geometry, a cantellated 5-orthoplex is a convex uniform 5-polytope, being a cantellation of the regular 5-orthoplex.
Contents
There are 6 cantellation for the 5-orthoplex, including truncations. Some of them are more easily constructed from the dual 5-cube.
Alternate names
Coordinates
The vertices of the can be made in 5-space, as permutations and sign combinations of:
(0,0,1,1,2)Images
The cantellated 5-orthoplex is constructed by a cantellation operation applied to the 5-orthoplex.
Alternate names
Coordinates
Cartesian coordinates for the vertices of a cantitruncated 5-orthoplex, centered at the origin, are all sign and coordinate permutations of
(±3,±2,±1,0,0)Related polytopes
These polytopes are from a set of 31 uniform 5-polytopes generated from the regular 5-cube or 5-orthoplex.
References
Cantellated 5-orthoplexes Wikipedia(Text) CC BY-SA