截角正六百胞体

{{Infobox polychoron
| name = 截角正六百胞体
| imagename = Schlegel half-solid truncated 600-cell.png
| caption = 施莱格尔投影(可以看见正二十面体胞)
| polytope = 截角正六百胞体
| Type = 均匀多胞体
| group_type =
| Cell = 720:120 3.3.3.3.3
600 3.6.6
| Face = 2400{3}+1200{6}
| Edge = 4320
| Vertice = 1440
| Vertice_type = 五角柱
| Schläfli = t0,1{3,3,5}
| Coxeter_diagram =
| Symmetry_group =
| dual =
| Properties = convex
| Index_references = 41
| Coxeter_group = H4, [3,3,5], order 14400
}}
截角正六百胞体是均匀多胞体之一。它是通过截断正六百胞体的每一个角得到的。它有720个胞:120个正二十面体和600个截角四面体。它的顶点图是一个五角柱,一个顶点周围有一个正二十面体和五个截角四面体。

结构
截角正六百胞体由600个截角四面体和120个正二十面体。截角四面体胞通过六边形面互相结合,并且通过三角形面来结合正二十面体胞。每个正二十面体胞结合20个 截角四面体胞。

投影
参考文献

* (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]
*

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