Stericated 7-cubes explained
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:) (Jonathan Bowers)[1]
Images
Bistericated 7-cube
Alternate names
- Small bicellated hepteractihecatonicosoctaexon (acronym:) (Jonathan Bowers)[2]
Images
Steritruncated 7-cube
Alternate names
- Cellitruncated hepteract (acronym:) (Jonathan Bowers)[3]
Images
Bisteritruncated 7-cube
Alternate names
- Bicellitruncated hepteract (acronym:) (Jonathan Bowers)[4]
Images
Stericantellated 7-cube
Alternate names
- Cellirhombated hepteract (acronym:) (Jonathan Bowers)[5]
Images
Bistericantellated 7-cube
Alternate names
- Bicellirhombihepteract (acronym:) (Jonathan Bowers)[6]
Images
Stericantitruncated 7-cube
Alternate names
- Celligreatorhombated hepteract (acronym:) (Jonathan Bowers)[7]
Images
Bistericantitruncated 7-cube
Alternate names
- Bicelligreatorhombated hepteract (acronym:) (Jonathan Bowers)[8]
Images
Steriruncinated 7-cube
Alternate names
- Celliprismated hepteract (acronym:) (Jonathan Bowers)[9]
Images
Steriruncitruncated 7-cube
Alternate names
- Celliprismatotruncated hepteract (acronym:) (Jonathan Bowers)[10]
Images
Steriruncicantellated 7-cube
Alternate names
- Celliprismatorhombated hepteract (acronym:) (Jonathan Bowers)[11]
Images
Bisteriruncitruncated 7-cube
Alternate names
- Bicelliprismatotruncated hepteractihecatonicosoctaexon (acronym:) (Jonathan Bowers)[12]
Images
Steriruncicantitruncated 7-cube
Alternate names
- Great cellated hepteract (acronym:) (Jonathan Bowers)[13]
Images
Bisteriruncicantitruncated 7-cube
Alternate names
- Great bicellated hepteractihecatonicosoctaexon (Acronym) (Jonathan Bowers) [14]
Images
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, http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471010030.html
- (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.
- x3o3o3o3x3o4o -, x3o3x3o3x3o4o -, x3x3o3o3x3o4o -, o3x3x3o3o3x4o -, x3o3x3o3x3o4o -, o3x3o3x3o3x4o -, x3x3x3o3x3o4o -, o3x3x3x3o3x4o -, x3o3o3x3x3o4o -, x3x3x3o3x3o4o -, x3o3x3x3x3o4o -, o3x3x3o3x3x4o -, x3x3x3x3x3o4o -, o3x3x3x3x3x4o -
External links
Notes and References
- Klitizing, (x3o3o3o3x3o4o -)
- Klitizing, (x3o3x3o3x3o4o -)
- Klitizing, (x3x3o3o3x3o4o -)
- Klitizing, (o3x3x3o3o3x4o -)
- Klitizing, (x3o3x3o3x3o4o -)
- Klitizing, (o3x3o3x3o3x4o -)
- Klitizing, (x3x3x3o3x3o4o -)
- Klitizing, (o3x3x3x3o3x4o -)
- Klitizing, (x3o3o3x3x3o4o -)
- Klitizing, (x3x3x3o3x3o4o -)
- Klitizing, (x3o3x3x3x3o4o -)
- Klitizing, (o3x3x3o3x3x4o -)
- Klitizing, (x3x3x3x3x3o4o -)
- Klitizing, (o3x3x3x3x3x4o -)
