{{Infobox polychoron
| name = 过截角正五胞体
| imagename = Schlegel half-solid bitruncated 5-cell.png
| caption = 施莱格尔投影
| polytope = 过截角正五胞体
| Type = 均匀多胞体
| group_type =
| Cell = 10 (3.6.6)
| Face = 20 {3}
20 {6}
| Edge = 60
| Vertice = 30
| Vertice_type = (锲形体)
| Schläfli = t1,2{3,3,3}
| Coxeter_diagram = or
| Coxeter_group = A4, 3,3,3, order 240
| Index_references = 5 6 7
| Symmetry_group =
| dual =
| Properties = convex, isogonal isotoxal, isochoric
}}
过截角正五胞体（又叫正十胞体）是一个四维多胞体, 由10个相同的三维胞截角四面体组成。每条边连接到两个六边形和一个三角形。
过截角正五胞体的五维类比是过截角五维正六胞体。它的n维类比的考克斯特-迪金点图都是中间的一个或两个点有环。
过截角正五胞体是两个由一种三维胞所组成的半正多胞体之一。另一个是过截角正二十四胞体，它由48个截角立方体组成。
投影
坐标
一个棱长为2的过截角正五胞体的20个顶点的笛卡儿坐标系坐标
更简单的，过截角正五胞体的顶点是五维空间笛卡儿坐标系的（0,0,1,2,2）或(1,0,0,0,-1)的全排列。
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]
Coxeter, The Beauty of Geometry: Twelve Essays*, Dover Publications, 1999, ISBN 0-486-40919-8 p.88 (Chapter 5: Regular Skew Polyhedra in three and four dimensions and their topological analogues, Proceedings of the London Mathematics Society, Ser. 2, Vol 43, 1937.)
*Coxeter, H. S. M. Regular Skew Polyhedra in Three and Four Dimensions.* Proc. London Math. Soc. 43, 33-62, 1937.
- Norman Johnson Uniform Polytopes, Manuscript (1991)
* N.W. Johnson: The Theory of Uniform Polytopes and Honeycombs*, Ph.D. (1966)
*
**
- x3x3o3o - tip, o3x3x3o - deca
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