Cantellated 7 orthoplexes

Updated on Dec 17, 2024

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

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

Alternate names

Small rhombated hecatonicosoctaexon (acronym: sarz) (Jonathan Bowers)

Small birhombated hecatonicosoctaexon (acronym: sebraz) (Jonathan Bowers)

Great rhombated hecatonicosoctaexon (acronym: garz) (Jonathan Bowers)

Great birhombated hecatonicosoctaexon (acronym: gebraz) (Jonathan Bowers)

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

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