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 B<sub>7</sub> symmetry.
Stericated 7-orthoplex
Alternate names
- Small cellated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)
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Steritruncated 7-orthoplex
Alternate names
- Cellitruncated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)
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Bisteritruncated 7-orthoplex
Alternate names
- Bicellitruncated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)
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Stericantellated 7-orthoplex
Alternate names
- Cellirhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)
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Stericantitruncated 7-orthoplex
Alternate names
- Celligreatorhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)
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Bistericantitruncated 7-orthoplex
Alternate names
- Bicelligreatorhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)
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Steriruncinated 7-orthoplex
Alternate names
- Celliprismated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)
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Steriruncitruncated 7-orthoplex
Alternate names
- Celliprismatotruncated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)
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Steriruncicantellated 7-orthoplex
Alternate names
- Celliprismatorhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)
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Steriruncicantitruncated 7-orthoplex
Alternate names
- Great cellated hecatonicosoctaexon (acronym: ) (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 Ivic Weiss, Wiley-Interscience Publication, 1995, wiley.com,
- (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. 200 (1988) 3-45]
- Norman Johnson Uniform Polytopes, Manuscript (1991)
- N.W. Johnson: The Theory of Uniform Polytopes and Honeycombs, Ph.D.
External links