截角正十六胞体

{{Infobox polychoron
| name = 截角正十六胞体
| imagename = Schlegel half-solid truncated 16-cell.png
| caption = 施莱格尔投影(可以看见正八面体胞)
| polytope = 截角正十六胞体
| Type = 均匀多胞体
| group_type =
| Cell = 24:8 3.3.3.3
16 3.6.6
| Face = 64{3}+32{6}
| Edge = 120
| Vertice = 48
| Vertice_type = 四角锥
| Schläfli = t0,1{3,3,4}
| Coxeter_diagram =
| Symmetry_group =
| dual =
| Properties = convex
| Index_references = 41
| Coxeter_group = H4, [3,3,4], order 384
}}
截角正十六胞体是均匀多胞体之一。它是通过截断正十六胞体的每一个角得到的。它有24个胞:8个正八面体和16个截角四面体。它的顶点图是一个四角锥，一个顶点周围有一个正八面体和四个截角四面体。

结构
截角正十六胞体由16个截角四面体和8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八面体胞。每个正八面体胞结合8个 截角四面体胞。

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