User:Tomruen/Cantellated 5-orthoplexes

In five-dimensional geometry, a cantellated 5-orthoplex is a convex uniform 5-polytope, being a cantellation of the regular 5-orthoplex.

There are 6 cantellation for the 5-orthoplex, including truncations. Some of them are more easily constructed from the dual 5-cube.

Alternate names

 * Cantellated 5-orthoplex
 * Bicantellated 5-demicube
 * Small rhombated triacontiditeron (Acronym: sart) (Jonathan Bowers)

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

 * Cantitruncated pentacross
 * Cantitruncated triacontiditeron (Acronym: gart) (Jonathan Bowers)

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.