Stericated 7-orthoplexes
Open-knowledge reference entry
In seven-dimensional geometry, a stericated 7-orthoplex is a convex uniform 7-polytope with 4th order truncations (sterication) of the regular 7-orthoplex.
There are 24 unique sterication for the 7-orthoplex with permutations of truncations, cantellations, and runcinations. 14 are more simply constructed from the 7-cube.
This polytope is one of 127 uniform 7-polytopes with B7 symmetry.
Stericated 7-orthoplex
Alternate names
Small cellated hecatonicosaoctaexon (acronym: scaz) (Jonathan Bowers)
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Steritruncated 7-orthoplex
Alternate names
Cellitruncated hecatonicosaoctaexon (acronym: catz) (Jonathan Bowers)
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Bisteritruncated 7-orthoplex
Alternate names
Bicellitruncated hecatonicosaoctaexon (acronym: boctaz) (Jonathan Bowers)
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Stericantellated 7-orthoplex
Alternate names
Cellirhombated hecatonicosaoctaexon (acronym: craze) (Jonathan Bowers)
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Stericantitruncated 7-orthoplex
Alternate names
Celligreatorhombated hecatonicosaoctaexon (acronym: cogarz) (Jonathan Bowers)
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Bistericantitruncated 7-orthoplex
Alternate names
Bicelligreatorhombated hecatonicosaoctaexon (acronym: becogarz) (Jonathan Bowers)
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Steriruncinated 7-orthoplex
Alternate names
Celliprismated hecatonicosaoctaexon (acronym: copaz) (Jonathan Bowers)
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Steriruncitruncated 7-orthoplex
Alternate names
Celliprismatotruncated hecatonicosaoctaexon (acronym: captaz) (Jonathan Bowers)
Images
Steriruncicantellated 7-orthoplex
Alternate names
Celliprismatorhombated hecatonicosaoctaexon (acronym: caparz) (Jonathan Bowers)
Images
Steriruncicantitruncated 7-orthoplex
Alternate names
Great cellated hecatonicosaoctaexon (acronym: gocaz) (Jonathan Bowers)
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Notes
References
H.S.M. Coxeter:
H.S.M. Coxeter, Regular Polytopes, 3rd edition, Dover, New York, 1973
Kaleidoscopes: Selected Writings of H.S.M. Coxeter, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivić Weiss, Wiley-Interscience Publication, 1995, wiley.com, ISBN 978-0-471-01003-6
(Paper 22) H.S.M. Coxeter, Regular and Semi-Regular Polytopes I, [Math. Zeit. 46 (1940) 380–407, MR 2,10]
(Paper 23) H.S.M. Coxeter, Regular and Semi-Regular Polytopes II, [Math. Zeit. 188 (1985) 559–591]
(Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, [Math. Zeit.
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