In seven-dimensional geometry, a runcinated 7-orthoplex is a convex uniform 7-polytope with 3rd order truncations (runcination) of the regular 7-orthoplex.
There are 16 unique runcinations of the 7-orthoplex with permutations of truncations, and cantellations. 8 are more simply constructed from the 7-cube.
These polytopes are among 127 uniform 7-polytopes with B<sub>7</sub> symmetry.
Runcinated 7-orthoplex
Alternate names
- Small prismated hecatonicosoctaexon (acronym: spaz) (Jonathan Bowers)
Images
Biruncinated 7-orthoplex
Alternate names
- Small biprismated hecatonicosoctaexon (Acronym sibpaz) (Jonathan Bowers)
Images
Runcitruncated 7-orthoplex
Alternate names
- Prismatotruncated hecatonicosoctaexon (acronym: potaz) (Jonathan Bowers)
Images
Biruncitruncated 7-orthoplex
Alternate names
- Biprismatotruncated hecatonicosoctaexon (acronym: baptize) (Jonathan Bowers)
Images
Runcicantellated 7-orthoplex
Alternate names
- Prismatorhombated hecatonicosoctaexon (acronym: parz) (Jonathan Bowers)
Images
Biruncicantellated 7-orthoplex
Alternate names
- Biprismatorhombated hecatonicosoctaexon (acronym: boparz) (Jonathan Bowers)
Images
Runcicantitruncated 7-orthoplex
Alternate names
- Great prismated hecatonicosoctaexon (acronym: gopaz) (Jonathan Bowers)
Images
Biruncicantitruncated 7-orthoplex
Alternate names
- Great biprismated hecatonicosoctaexon (acronym: gibpaz) (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 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. (1966)
- o3o3o3x3o3o4x - spaz, o3x3o3o3x3o4o - sibpaz, o3o3o3x3x3o4x - potaz, o3o3x3o3x3x4o - baptize, o3o3o3x3x3o4x - parz, o3x3o3x3x3o4o - boparz, o3o3o3x3x3x4x - gopaz, o3o3x3x3x3x3o - gibpaz
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