- Source: Stericated 8-simplexes
In eight-dimensional geometry, a stericated 8-simplex is a convex uniform 8-polytope with 4th order truncations (sterication) of the regular 8-simplex. There are 16 unique sterications for the 8-simplex including permutations of truncation, cantellation, and runcination.
Stericated 8-simplex
= Coordinates
=The Cartesian coordinates of the vertices of the stericated 8-simplex can be most simply positioned in 9-space as permutations of (0,0,0,0,1,1,1,1,2). This construction is based on facets of the stericated 9-orthoplex.
= Images
=Bistericated 8-simplex
= Coordinates
=The Cartesian coordinates of the vertices of the bistericated 8-simplex can be most simply positioned in 9-space as permutations of (0,0,0,1,1,1,1,2,2). This construction is based on facets of the bistericated 9-orthoplex.
= Images
=Steritruncated 8-simplex
= Images
=Bisteritruncated 8-simplex
= Images
=Stericantellated 8-simplex
= Images
=Bistericantellated 8-simplex
= Images
=Stericantitruncated 8-simplex
= Images
=Bistericantitruncated 8-simplex
= Images
=Steriruncinated 8-simplex
= Images
=Bisteriruncinated 8-simplex
= Images
=Steriruncitruncated 8-simplex
= Images
=Bisteriruncitruncated 8-simplex
= Images
=Steriruncicantellated 8-simplex
= Images
=Bisteriruncicantellated 8-simplex
= Images
=Steriruncicantitruncated 8-simplex
= Images
=Bisteriruncicantitruncated 8-simplex
= Images
=Related polytopes
This polytope is one of 135 uniform 8-polytopes with A8 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 [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. "8D uniform polytopes (polyzetta)". x3o3o3o3x3o3o3o, o3x3o3o3o3x3o3o
External links
Polytopes of Various Dimensions
Multi-dimensional Glossary
Kata Kunci Pencarian:
- Stericated 8-simplexes
- Stericated 7-simplexes
- Stericated 5-simplexes
- Stericated 6-simplexes
- Stericated 6-orthoplexes
- Pentellated 6-simplexes
- 5-simplex honeycomb
