Runcinated 6-orthoplexes
Open-knowledge reference entry
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. 7 are expressed relative to the dual 6-cube.
Runcinated 6-orthoplex
Alternate names
Small prismatohexacontatetrapeton (spog) (Jonathan Bowers)
Images
Runcicantellated 6-orthoplex
Alternate names
Prismatorhombated hexacontatetrapeton (prog) (Jonathan Bowers)
Images
Biruncitruncated 6-orthoplex
Alternate names
Biprismatotruncated hexacontatetrapeton (boprax) (Jonathan Bowers)
Images
Runcitruncated 6-orthoplex
Alternate names
Prismatotruncated hexacontatetrapeton (potag) (Jonathan Bowers)
Images
Runcicantitruncated 6-orthoplex
Alternate names
Great prismated hexacontatetrapeton (gopog) (Jonathan Bowers)
Images
Related polytopes
These polytopes are from a set of 63 uniform 6-polytopes generated from the B6 Coxeter plane, including the regular 6-cube and 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 Ivić Weiss, Wiley-Interscience Publication, 1995, wiley.com, ISBN 978-0-471-01003-6
(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.
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