截角正一百二十胞体
| 截角正一百二十胞体 | ||
|---|---|---|
 施莱格尔投影 (正四面体胞在前) | ||
| Type | 均匀多胞体 | |
| 施莱夫利符号 | t0,1{5,3,3} | |
| 考克斯特-迪金点图 |    
| |
| 胞 | 10 | 600 (3.3.3)  120 (3.10.10) File:Truncated dodecahedron |
| 面 | 30 | 2400 {3} 720 {10} |
| 边 | 4800 | |
| 顶点 | 2400 | |
| 顶点图 |  棱锥 | |
| 考克斯特点群 | H4, [3,3,5], order 14400 | |
| 特性 | convex | |
| Uniform index | 36 | |
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
| H4 | - | F4 |
|---|---|---|
 [30] |
 [20] |
 [12] |
| H3 | A2 / B3 / D4 | A3 / B2 |
 [10] |
 [6] |
 [4] |
 展开图 |
 球极平面投影的中间部分 (对着一个截角十二面体胞) |
 球极平面投影 |
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
- (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
- Four-dimensional Archimedean Polytopes (German), Marco Möller, 2004 PhD dissertation [1] m58 m59 m53
- Convex uniform polychora based on the hecatonicosachoron (120-cell) and hexacosichoron (600-cell) - Model 36, 39, 41, George Olshevsky.
- Klitzing, Richard. 4D uniform polytopes (polychora). bendwavy.org. o3o3x5x - thi, o3x3x5o - xhi, x3x3o5o - tex
- Four-Dimensional Polytope Projection Barn Raisings (A Zometool construction of the truncated 120-cell), George W. Hart