{{Infobox polychoron
| name = 截半正一百二十胞体
| imagename = Rectified 120-cell schlegel halfsolid.png
| caption = 施莱格尔投影,对着一个截半二十面体胞,可以看见正四面体胞
| polytope = 截半正一百二十胞体
| Type = 均匀多胞体
| group_type =
| Cell = 720 包括:120(3.5.3.5) 600(3.3.3)
| Face = 3120 包括:2400 {3}, 720 {5}
| Edge = 3600
| Vertice = 1200
| Vertice_type = 三角柱
| Schläfli = t1{5,3,3}
| Coxeter_diagram =
| Symmetry_group =
| dual =
| Properties = convex, 邊可遞
| Coxeter_group = H4 or [3,3,5]
}}
在几何学里,截半正一百二十胞体是一个由600个正四面体和120个截半二十面体胞构成的均匀多胞体。其顶点图是一个三角柱,每个顶点周围有3个截半二十面体和2个正四面体。
投影
参考文献
- 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]
- J.H. Conway and M.J.T. Guy: Four-Dimensional Archimedean Polytopes, Proceedings of the Colloquium on Convexity at Copenhagen, page 38 und 39, 1965
- N.W. Johnson: The Theory of Uniform Polytopes and Honeycombs, Ph.D. Dissertation, University of Toronto, 1966
*[http://www.polytope.de Four-dimensional Archimedian Polytopes] (German), Marco Möller, 2004 PhD dissertation [http://www.sub.uni-hamburg.de/opus/volltexte/2004/2196/pdf/Dissertation.pdf]
外部链接
*
- [http://www.polytope.de/nr52.html rectified 120-cell] Marco Möller's Archimedean polytopes in R4 (German)
*
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