{{Infobox polytope
| name = 截角五维正六胞体
| imagename =
| caption =
| polytope = 截角五维正六胞体
| Type = 五维均匀多胞体
| group_type =
| Dimension = 5
| dim1 = 四维
| count1 = 12
6 {3,3,3}6 t{3,3,3}
| Cell = 45
30 {3,3}15 t{3,3}
| Face = 80
60 {3}20 {6}
| Edge =75
| Vertice =30
| Vertice_type =五胞体
| Schläfli =t0,1{3,3,3,3}
| Symmetry_group =
| dual =
| Properties =convex
| Index_references =
| Coxeter_group = A5 [3,3,3,3], order 720
| Coxeter_diagram =
}}
截角五维正六胞体由30个顶点、75条边、80个面、45个胞(15个正四面体和30个截角四面体),和12个四维胞(6个正五胞体和6个截角正五胞体)組成。
坐标
简单地说,截角五维正六胞体的顶点坐标为六维空间的(0,0,0,0,1,2)或(0,1,2,2,2,2)的全排列。
图像
参考文献
- H.S.M. Coxeter:
* H.S.M. Coxeter, Regular Polytopes*, 3rd Edition, Dover New York, 1973
Kaleidoscopes: Selected Writings of H.S.M. Coxeter**, editied by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995, ISBN 978-0-471-01003-6 [http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471010030.html]
** (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.
- x3x3o3o3o - tix, o3x3x3o3o - bittix
外部链接
*
- [http://www.polytope.net/hedrondude/topes.htm Polytopes of Various Dimensions] , Jonathan Bowers
** [http://www.polytope.net/hedrondude/truncates5.htm Truncated uniform polytera] (tix), Jonathan Bowers
- [http://tetraspace.alkaline.org/glossary.htm Multi-dimensional Glossary]
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