| 释义 |
- Alternate names
- Cartesian coordinates
- Images
- Notes
- References
- External links
| Cantic 8-cube |
D8 Coxeter plane projection | | Type | uniform 8-polytope | | Schläfli symbol | t0,1{3,35,1} | | Coxeter-Dynkin diagram | nodes_10ru|split2|node_1|3|node|3|node|3|node|3|node|3|node}} | | 6-faces | | 5-faces | | 4-faces | | Cells | | Faces | | Edges | | Vertices | | Vertex figure | ( )v{ }x{3,3,3,3} | | Coxeter groups | D8, [35,1,1] | | Properties | convex |
In eight-dimensional geometry, a cantic 8-cube or truncated 8-demicube is a uniform 8-polytope, being a truncation of the 8-demicube. Alternate names - Truncated demiocteract
- Truncated hemiocteract (Jonathan Bowers)
Cartesian coordinates The Cartesian coordinates for the vertices of a truncated 8-demicube centered at the origin and edge length 6√2 are coordinate permutations: (±1,±1,±3,±3,±3,±3,±3,±3) with an odd number of plus signs. Images{{8-demicube Coxeter plane graphs|t01|80}} 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}}
- (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.
- {{KlitzingPolytopes|polyzetta.htm|8D uniform polytopes (polyzetta)|x3x3o b3o3o3o3o3o}}
External links - {{MathWorld|title=Hypercube|urlname=Hypercube}}
- [https://web.archive.org/web/20070310205351/http://members.cox.net/hedrondude/topes.htm Polytopes of Various Dimensions]
- Multi-dimensional Glossary
{{Polytopes}} 1 : 8-polytopes |