- Source: Pentellated 7-cubes
In seven-dimensional geometry, a pentellated 7-cube is a convex uniform 7-polytope with 5th order truncations (pentellation) of the regular 7-cube. There are 32 unique pentellations of the 7-cube with permutations of truncations, cantellations, runcinations, and sterications. 16 are more simply constructed relative to the 7-orthoplex.
Pentellated 7-cube
= Alternate names
=Small terated hepteract (acronym:) (Jonathan Bowers)
= Images
=Pentitruncated 7-cube
= Alternate names
=Teritruncated hepteract (acronym: ) (Jonathan Bowers)
= Images
=Penticantellated 7-cube
= Alternate names
=Terirhombated hepteract (acronym: ) (Jonathan Bowers)
= Images
=Penticantitruncated 7-cube
= Alternate names
=Terigreatorhombated hepteract (acronym: ) (Jonathan Bowers)
Pentiruncinated 7-cube
= Alternate names
=Teriprismated hepteract (acronym: ) (Jonathan Bowers)
= Images
=Pentiruncitruncated 7-cube
= Alternate names
=Teriprismatotruncated hepteract (acronym: ) (Jonathan Bowers)
= Images
=Pentiruncicantellated 7-cube
= Alternate names
=Teriprismatorhombated hepteract (acronym: ) (Jonathan Bowers)
= Images
=Pentiruncicantitruncated 7-cube
= Alternate names
=Terigreatoprismated hepteract (acronym: ) (Jonathan Bowers)
= Images
=Pentistericated 7-cube
= Alternate names
=Tericellated hepteract (acronym: ) (Jonathan Bowers)
= Images
=Pentisteritruncated 7-cube
= Alternate names
=Tericellitruncated hepteract (acronym: ) (Jonathan Bowers)
= Images
=Pentistericantellated 7-cube
= Alternate names
=Tericellirhombated hepteract (acronym: ) (Jonathan Bowers)
= Images
=Pentistericantitruncated 7-cube
= Alternate names
=Tericelligreatorhombated hepteract (acronym: ) (Jonathan Bowers)
= Images
=Pentisteriruncinated 7-cube
= Alternate names
=Bipenticantitruncated 7-cube as t1,2,3,6{4,35}
Tericelliprismated hepteract (acronym: ) (Jonathan Bowers)
= Images
=Pentisteriruncitruncated 7-cube
= Alternate names
=Tericelliprismatotruncated hepteract (acronym: ) (Jonathan Bowers)
= Images
=Pentisteriruncicantellated 7-cube
= Alternate names
=Bipentiruncicantitruncated 7-cube as t1,2,3,4,6{4,35}
Tericelliprismatorhombated hepteract (acronym: ) (Jonathan Bowers)
= Images
=Pentisteriruncicantitruncated 7-cube
= Alternate names
=Great terated hepteract (acronym:) (Jonathan Bowers)
= Images
=Related polytopes
These polytopes are a part of a set of 127 uniform 7-polytopes with B7 symmetry.
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 Wiley: Kaleidoscopes: Selected Writings of H.S.M. Coxeter
(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. "7D uniform polytopes (polyexa)". x3o3o3o3o3x4o, x3x3o3o3o3x4o, x3o3x3o3o3x4o, x3x3x3oxo3x4o, x3o3o3x3o3x4o, x3x3o3x3o3x4o, x3o3x3x3o3x4o, x3x3x3x3o3x4o, x3o3o3o3x3x4o, x3x3o3o3x3x4o, x3o3x3o3x3x4o, x3x3x3o3x3x4o, x3o3o3x3x3x4o, x3x3o3x3x3x4o, x3o3x3x3x3x4o, x3x3x3x3x3x3o
External links
Polytopes of Various Dimensions
Multi-dimensional Glossary
Kata Kunci Pencarian:
- Daftar bentuk matematika
- Pentellated 7-cubes
- Hexic 7-cubes
- Pentellated 6-cubes
- Pentellated 7-orthoplexes
- Pentellated 7-simplexes
- List of mathematical shapes
- List of polygons, polyhedra and polytopes
- Pentellated 6-orthoplexes
- Uniform 7-polytope
- Uniform 8-polytope
