{{Infobox polychoron
| name = 截角正一百二十胞体
| imagename = Schlegel half-solid truncated 120-cell.png
| caption = 施莱格尔投影(正四面体胞在前)
| polytope = 截角正一百二十胞体
| Type = 均匀多胞体
| group_type =
| Cell =10
600 (3.3.3) 120 (3.10.10)
| Face =30
2400 {3}720 {10}
| Edge =4800
| Vertice =2400
| Vertice_type =棱锥
| Schläfli =t0,1{5,3,3}
| Symmetry_group =
| dual =
| Properties =convex
| Index_references = 36
| Coxeter_group =H4, [3,3,5], order 14400
| Coxeter_diagram =
}}
截角正一百二十胞体是均匀多胞体之一,由截断正一百二十胞体的每一个角来创造。
截角正一百二十胞体有120个截角十二面体和600个正四面体。它有3120个面,2400个三角形和720个十边形。它有4800个面:3600个由三个截角十二面体共享,1200个由两个截角十二面体和一个正四面体共享。每条棱周围有3个截角十二面体和一个正四面体。它的顶点图是一个等边三角形棱锥。
投影
参考文献
- [http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471010030.html 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
* (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 Archimedean Polytopes] (German), Marco Möller, 2004 PhD dissertation [http://www.sub.uni-hamburg.de/opus/volltexte/2004/2196/pdf/Dissertation.pdf] [http://www.polytope.de/nr58.html m58] [http://www.polytope.de/nr59.html m59] [http://www.polytope.de/nr53.html m53]
*
- o3o3x5x - thi, o3x3x5o - xhi, x3x3o5o - tex
- [http://www.georgehart.com/zome-polytopes-ISAMA07/hart-isama07.doc Four-Dimensional Polytope Projection Barn Raisings] (A Zometool construction of the truncated 120-cell), George W. Hart
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