In seven-dimensional geometry, a cantellated 7-orthoplex is a convex uniform 7-polytope, being a cantellation of the regular 7-orthoplex.
There are ten degrees of cantellation for the 7-orthoplex, including truncations. Six are most simply constructible from the dual 7-cube.
Cantellated 7-orthoplex
Alternate names
- Small rhombated hecatonicosoctaexon (acronym: sarz) (Jonathan Bowers)
Images
Bicantellated 7-orthoplex
Alternate names
- Small birhombated hecatonicosoctaexon (acronym: sebraz) (Jonathan Bowers)
Images
Cantitruncated 7-orthoplex
Alternate names
- Great rhombated hecatonicosoctaexon (acronym: garz) (Jonathan Bowers)
Images
Bicantitruncated 7-orthoplex
Alternate names
- Great birhombated hecatonicosoctaexon (acronym: gebraz) (Jonathan Bowers)
Images
Related polytopes
These polytopes are from a family of 127 uniform 7-polytopes with B<sub>7</sub> symmetry.
See also
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, 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. 1966
- - o3o3o3o3x3o4x - sarz, o3o3o3x3o3x4o - sebraz, o3o3o3o3x3x4x - garz, o3o3o3x3x3x4o - gebraz
External links