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截角五維超正方體
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截角五維超正方體可以通過在每條棱距離頂點處截斷五維超正方體的頂點來得到。每個被截斷的頂點會產生一個新的正五胞體。
坐標
Quick Facts 截角五維超正方體, 類型 ...
截角五維超正方體 | |
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類型 | 五維均勻多胞體 |
維度 | 5 |
數學表示法 | |
考克斯特符號 (英語:Coxeter-Dynkin diagram) | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
施萊夫利符號 | t{4,3,3,3} |
性質 | |
四維胞 | 42 |
胞 | 200 |
面 | 400 |
邊 | 400 |
頂點 | 160 |
組成與佈局 | |
頂點圖 | ![]() Elongated tetrahedral pyramid |
對稱性 | |
考克斯特群 | BC5, [3,3,3,4] |
特性 | |
convex | |
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一個棱長為2的截角五維超正方體的每個頂點的笛卡兒坐標系坐標為:
投影
More information 考克斯特平面, B5 ...
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截角五維超正方體是各維度截角超方形中的第四個:
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八邊形 | 截角立方體 | 截角正八胞體 | 截角五維超正方體 | 截角六維超正方體 | 截角七維超正方體 | 截角八維超正方體 | |
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參考文獻
- 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 [1] (頁面存檔備份,存於網際網路檔案館)
- (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]
- Norman Johnson Uniform Polytopes, Manuscript (1991)
- N.W. Johnson: The Theory of Uniform Polytopes and Honeycombs, Ph.D.
- Klitzing, Richard. 5D uniform polytopes (polytera). bendwavy.org. o3o3o3x4x - tan, o3o3x3x4o - bittin
外部連結
- 埃里克·韋斯坦因. Hypercube. MathWorld.
- Olshevsky, George, Measure polytope at Glossary for Hyperspace.
- Polytopes of Various Dimensions
- Multi-dimensional Glossary (頁面存檔備份,存於網際網路檔案館)