• Source: Runcinated 6-orthoplexes

In six-dimensional geometry, a runcinated 6-orthplex is a convex uniform 6-polytope with 3rd order truncations (runcination) of the regular 6-orthoplex.
There are 12 unique runcinations of the 6-orthoplex with permutations of truncations, and cantellations. Half are expressed relative to the dual 6-cube.




Runcinated 6-orthoplex






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Small prismatohexacontatetrapeton (spog) (Jonathan Bowers)




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Runcicantellated 6-orthoplex






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Prismatorhombated hexacontatetrapeton (prog) (Jonathan Bowers)




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Runcitruncated 6-orthoplex






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Prismatotruncated hexacontatetrapeton (potag) (Jonathan Bowers)




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Biruncicantellated 6-cube






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Great biprismated hexeractihexacontatetrapeton (gobpoxog) (Jonathan Bowers)




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Related polytopes


These polytopes are from a set of 63 uniform 6-polytopes generated from the B6 Coxeter plane, including the regular 6-cube or 6-orthoplex.




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, ISBN 978-0-471-01003-6 [1]
(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.
Klitzing, Richard. "6D uniform polytopes (polypeta)". x3o3o3x3o4o - spog, x3o3x3x3o4o - prog, x3x3o3x3o4o - potag, o3x3x3x3x4o - gobpoxog




External links


Weisstein, Eric W. "Hypercube". MathWorld.
Polytopes of Various Dimensions
Multi-dimensional Glossary

Kata Kunci Pencarian:

• Runcinated 6-orthoplexes
• Runcinated 7-orthoplexes
• Runcinated 5-orthoplexes
• Triangular prism
• Rectified 5-orthoplexes
• Rectified 5-cell