Cantellated 6 cubes

Updated on Dec 17, 2024

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In six-dimensional geometry, a cantellated 6-cube is a convex uniform 6-polytope, being a cantellation of the regular 6-cube.

There are 8 cantellations for the 6-cube, including truncations. Half of them are more easily constructed from the dual 5-orthoplex

Alternate names

Cantellated hexeract

Small rhombated hexeract (acronym: srox) (Jonathan Bowers)

Bicantellated hexeract

Small birhombated hexeract (acronym: saborx) (Jonathan Bowers)

Cantitruncated hexeract

Great rhombihexeract (acronym: grox) (Jonathan Bowers)

Bicantitruncated hexeract

Great birhombihexeract (acronym: gaborx) (Jonathan Bowers)

These polytopes are part of a set of 63 uniform 6-polytopes generated from the B₆ Coxeter plane, including the regular 6-cube or 6-orthoplex.

(Text) CC BY-SA