In seven-dimensional geometry, a hexicated 7-orthoplex (also hexicated 7-cube) is a convex uniform 7-polytope, including 6th-order truncations (hexication) from the regular 7-orthoplex.
There are 32 hexications for the 7-orthoplex, including all permutations of truncations, cantellations, runcinations, sterications, and pentellations. 12 are represented here, while 20 are more easily constructed from the 7-cube.
Hexitruncated 7-orthoplex
Alternate names
Images
Hexicantellated 7-orthoplex
Alternate names
Images
Hexicantitruncated 7-orthoplex
Alternate names
- Petigreatorhombated heptacross
Images
Hexiruncitruncated 7-orthoplex
Alternate names
- Petiprismatotruncated heptacross
Images
Hexiruncicantellated 7-orthoplex
In seven-dimensional geometry, a hexiruncicantellated 7-orthoplex is a uniform 7-polytope.
Alternate names
- Petiprismatorhombated heptacross
Images
Hexisteritruncated 7-orthoplex
Alternate names
- Peticellitruncated heptacross
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Hexiruncicantitruncated 7-orthoplex
Alternate names
- Petigreatoprismated heptacross
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Hexistericantitruncated 7-orthoplex
Alternate names
- Peticelligreatorhombated heptacross
Images
Hexisteriruncitruncated 7-orthoplex
Alternate names
- Peticelliprismatotruncated heptacross
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Hexipenticantitruncated 7-orthoplex
Alternate names
- Petiterigreatorhombated heptacross
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Hexisteriruncicantitruncated 7-orthoplex
Alternate names
- Great petacellated heptacross
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Hexipentiruncicantitruncated 7-orthoplex
Alternate names
- Petiterigreatoprismated heptacross
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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, PhD (1966)
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