Stericated 7-cubes
Open-knowledge reference entry
In seven-dimensional geometry, a stericated 7-cube is a convex uniform 7-polytope with 4th-order truncations (sterication) of the regular 7-cube.
There are 24 unique sterication for the 7-cube with permutations of truncations, cantellations, and runcinations. 10 are more simply constructed from the 7-orthoplex.
This polytope is one of 127 uniform 7-polytopes with B7 symmetry.
Stericated 7-cube
Alternate names
Small cellated hepteract (acronym: scosa) (Jonathan Bowers)
Images
Bistericated 7-cube
Alternate names
Small bicellated hepteractihecatonicosaoctaexon (acronym: sabcosaz) (Jonathan Bowers)
Images
Steritruncated 7-cube
Alternate names
Cellitruncated hepteract (acronym: catsa) (Jonathan Bowers)
Images
Bisteritruncated 7-cube
Alternate names
Bicellitruncated hepteract (acronym: bactasa) (Jonathan Bowers)
Images
Stericantellated 7-cube
Alternate names
Cellirhombated hepteract (acronym: carsa) (Jonathan Bowers)
Images
Bistericantellated 7-cube
Alternate names
Bicellirhombihepteract (acronym: bacresaz) (Jonathan Bowers)
Images
Stericantitruncated 7-cube
Alternate names
Celligreatorhombated hepteract (acronym: cogarsa) (Jonathan Bowers)
Images
Bistericantitruncated 7-cube
Alternate names
Bicelligreatorhombated hepteract (acronym: becgresa) (Jonathan Bowers)
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Steriruncinated 7-cube
Alternate names
Celliprismated hepteract (acronym: capsa) (Jonathan Bowers)
Images
Steriruncitruncated 7-cube
Alternate names
Celliprismatotruncated hepteract (acronym: captesa) (Jonathan Bowers)
Images
Steriruncicantellated 7-cube
Alternate names
Celliprismatorhombated hepteract (acronym: copresa) (Jonathan Bowers)
Images
Bisteriruncitruncated 7-cube
Alternate names
Bicelliprismatotruncated hepteractihecatonicosaoctaexon (acronym: bocaptosaz) (Jonathan Bowers)
Images
Steriruncicantitruncated 7-cube
Alternate names
Great cellated hepteract (acronym: gacosa) (Jonathan Bowers)
Images
Bisteriruncicantitruncated 7-cube
Alternate names
Great bicellated hepteractihecatonicosaoctaexon (acronym: gabcosaz) (Jonathan Bowers)
Images
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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