过截角正一百二十胞体
过截角正一百二十胞体是均匀多胞体之一。它有720个胞:120个截角二十面体,和600个截角四面体。它的顶点图是一个锲形体,周围有两个截角二十面体和两个截角四面体。
过截角正一百二十胞体 | |
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類型 | 均匀多胞体 |
識別 | |
名稱 | 过截角正一百二十胞体 |
參考索引 | 39 |
鮑爾斯縮寫 | xhi![]() |
數學表示法 | |
考克斯特符號 | ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
施萊夫利符號 | t1,2{5,3,3} |
性質 | |
胞 | 720: 1205.6.6 ![]() 6003.6.6 ![]() |
面 | 4320: 1200{3}+720{5}+ 2400{6} |
邊 | 7200 |
頂點 | 3600 |
組成與佈局 | |
顶点图 | ![]() 锲形体 |
對稱性 | |
考克斯特群 | H4, [3,3,5], order 14400 |
特性 | |
convex, 點可遞 | |
投影
球极投影 |
H3 | A2 / B3 / D4 | A3 / B2 / D3 |
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[10] |
[6] |
[4] |
参考文献
- Kaleidoscopes: Selected Writings of H.S.M. Coxeter (页面存档备份,存于互联网档案馆), 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 (页面存档备份,存于互联网档案馆) (German), Marco Möller, 2004 PhD dissertation [1] (页面存档备份,存于互联网档案馆) m58 (页面存档备份,存于互联网档案馆) m59 (页面存档备份,存于互联网档案馆) m53 (页面存档备份,存于互联网档案馆)
- 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 (页面存档备份,存于互联网档案馆) (A Zometool construction of the truncated 120-cell), George W. Hart