Pentellated 7-cubes explained
In seven-dimensional geometry, a pentellated 7-cube is a convex uniform 7-polytope with 5th order truncations (pentellation) of the regular 7-cube. There are 32 unique of the 7-cube with permutations of truncations, cantellations, runcinations, and . 16 are more simply constructed relative to the 7-orthoplex.
Pentellated 7-cube
Alternate names
- Small hepteract (acronym:) (Jonathan Bowers)[1]
Images
Pentitruncated 7-cube
Alternate names
- Teritruncated hepteract (acronym:) (Jonathan Bowers)[2]
Images
Penticantellated 7-cube
Alternate names
- Terirhombated hepteract (acronym:) (Jonathan Bowers)[3]
Images
Penticantitruncated 7-cube
Alternate names
- Terigreatorhombated hepteract (acronym:) (Jonathan Bowers)[4]
Pentiruncinated 7-cube
Alternate names
- Teriprismated hepteract (acronym:) (Jonathan Bowers)[5]
Images
Pentiruncitruncated 7-cube
Alternate names
- Teriprismatotruncated hepteract (acronym:) (Jonathan Bowers)[6]
Images
Pentiruncicantellated 7-cube
Alternate names
- Teriprismatorhombated hepteract (acronym:) (Jonathan Bowers)[7]
Images
Pentiruncicantitruncated 7-cube
Alternate names
- Terigreatoprismated hepteract (acronym:) (Jonathan Bowers)[8]
Images
Pentistericated 7-cube
Alternate names
- Tericellated hepteract (acronym:) (Jonathan Bowers)[9]
Images
Pentisteritruncated 7-cube
Alternate names
- Tericellitruncated hepteract (acronym:) (Jonathan Bowers)[10]
Images
Pentistericantellated 7-cube
Alternate names
- Tericellirhombated hepteract (acronym:) (Jonathan Bowers)[11]
Images
Pentistericantitruncated 7-cube
Alternate names
- Tericelligreatorhombated hepteract (acronym:) (Jonathan Bowers)[12]
Images
Pentisteriruncinated 7-cube
Alternate names
- Bipenticantitruncated 7-cube as t1,2,3,6
- Tericelliprismated hepteract (acronym:) (Jonathan Bowers)[13]
Images
Pentisteriruncitruncated 7-cube
Alternate names
- Tericelliprismatotruncated hepteract (acronym:) (Jonathan Bowers)[14]
Images
Pentisteriruncicantellated 7-cube
Alternate names
- Bipentiruncicantitruncated 7-cube as t1,2,3,4,6
- Tericelliprismatorhombated hepteract (acronym:) (Jonathan Bowers)[15]
Images
Pentisteriruncicantitruncated 7-cube
Alternate names
- Great hepteract (acronym:) (Jonathan Bowers)[16]
Images
Related polytopes
These polytopes are a part of a set of 127 uniform 7-polytopes with B7 symmetry.
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: Kaleidoscopes: Selected Writings of H.S.M. Coxeter
- (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.
- x3o3o3o3o3x4o, x3x3o3o3o3x4o, x3o3x3o3o3x4o, x3x3x3oxo3x4o, x3o3o3x3o3x4o, x3x3o3x3o3x4o, x3o3x3x3o3x4o, x3x3x3x3o3x4o, x3o3o3o3x3x4o, x3x3o3o3x3x4o, x3o3x3o3x3x4o, x3x3x3o3x3x4o, x3o3o3x3x3x4o, x3x3o3x3x3x4o, x3o3x3x3x3x4o, x3x3x3x3x3x3o
External links
Notes and References
- Klitzing, (x3o3o3o3o3x4o -)
- Klitzing, (x3x3o3o3o3x4o -)
- Klitzing, (x3o3x3o3o3x4o -)
- Klitzing, (x3x3x3oxo3x4o -)
- Klitzing, (x3o3o3x3o3x4o -)
- Klitzing, (x3x3o3x3o3x4o -)
- Klitzing, (x3o3x3x3o3x4o -)
- Klitzing, (x3x3x3x3o3x4o -)
- Klitzing, (x3o3o3o3x3x4o -)
- Klitzing, (x3x3o3o3x3x4o -)
- Klitzing, (x3o3x3o3x3x4o -)
- Klitzing, (x3x3x3o3x3x4o -)
- Klitzing, (x3o3o3x3x3x4o -)
- Klitzing, (x3x3o3x3x3x4o -)
- Klitzing, (x3o3x3x3x3x4o -)
- Klitzing, (x3x3x3x3x3x4o -)