Cantellated 7 cubes

Updated on Dec 17, 2024

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In seven-dimensional geometry, a cantellated 7-cube is a convex uniform 7-polytope, being a cantellation of the regular 7-cube.

There are 10 degrees of cantellation for the 7-cube, including truncations. 4 are most simply constructible from the dual 7-orthoplex.

Alternate names

Small rhombated hepteract (acronym: sersa) (Jonathan Bowers)

Small birhombated hepteract (acronym: sibrosa) (Jonathan Bowers)

Small trirhombihepteractihecatonicosoctaexon (acronym: strasaz) (Jonathan Bowers)

Great rhombated hepteract (acronym: gersa) (Jonathan Bowers)

Great birhombated hepteract (acronym: gibrosa) (Jonathan Bowers)

Great trirhombihepteractihecatonicosoctaexon (acronym: gotrasaz) (Jonathan Bowers)

These polytopes are from a family of 127 uniform 7-polytopes with B₇ symmetry.

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