- Source: Runcinated 6-cubes
In six-dimensional geometry, a runcinated 6-cube is a convex uniform 6-polytope with 3rd order truncations (runcination) of the regular 6-cube.
There are 12 unique runcinations of the 6-cube with permutations of truncations, and cantellations. Half are expressed relative to the dual 6-orthoplex.
Runcinated 6-cube
= Alternate names
=Small prismated hexeract (spox) (Jonathan Bowers)
= Images
=Biruncinated 6-cube
= Alternate names
=Small biprismated hexeractihexacontatetrapeton (sobpoxog) (Jonathan Bowers)
= Images
=Runcitruncated 6-cube
= Alternate names
=Prismatotruncated hexeract (potax) (Jonathan Bowers)
= Images
=Biruncitruncated 6-cube
= Alternate names
=Biprismatotruncated hexeract (boprag) (Jonathan Bowers)
= Images
=Runcicantellated 6-cube
= Alternate names
=Prismatorhombated hexeract (prox) (Jonathan Bowers)
= Images
=Runcicantitruncated 6-cube
= Alternate names
=Great prismated hexeract (gippox) (Jonathan Bowers)
= Images
=Biruncitruncated 6-cube
= Alternate names
=Biprismatotruncated hexeract (boprag) (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 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)". o3o3x3o3o4x - spox, o3x3o3o3x4o - sobpoxog, o3o3x3o3x4x - potax, o3x3o3x3x4o - boprag, o3o3x3x3o4x - prox, o3o3x3x3x4x - gippox, o3x3x3x3x4o - boprag
External links
Weisstein, Eric W. "Hypercube". MathWorld.
Polytopes of Various Dimensions
Multi-dimensional Glossary
Kata Kunci Pencarian:
- Daftar bentuk matematika
- Runcinated 6-cubes
- Runcinated 6-orthoplexes
- List of mathematical shapes
- Runcinated tesseracts
- Steric 6-cubes
- Runcinated 7-cubes
- List of polygons, polyhedra and polytopes
- Runcinated 5-cubes
- Runcinated 6-simplexes
- Order-6 cubic honeycomb
