過截角五維正六胞體
過截角五維正六胞體是一種均勻五維多胞體,為五維正六胞體經由過截角變換後的像。
過截角五維正六胞體 | |
---|---|
類型 | 五維均勻多胞體 |
維度 | 5 |
數學表示法 | |
考克斯特符號 | |
施萊夫利符號 | t1,2{3,3,3,3} |
性質 | |
四維胞 | 12 6 t12{3,3,3} 6 t{3,3,3} |
胞 | 60 45 {3,3} 15 t{3,3} |
面 | 140 80 {3} 60 {6} |
邊 | 150 |
頂點 | 60 |
組成與佈局 | |
頂點圖 | |
對稱性 | |
考克斯特群 | A5 [3,3,3,3], order 720 |
特性 | |
convex | |
坐標
簡單地說,過截角五維正六胞體的頂點坐標為六維空間的(0,0,0,1,2,2)或(0,0,1,2,2,2)的全排列。
投影
Ak 考克斯特平面 |
A5 | A4 |
---|---|---|
Graph | ||
二面體群 | [6] | [5] |
Ak 考克斯特平面 |
A3 | A2 |
Graph | ||
二面體群 | [4] | [3] |
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,存於互聯網檔案館)
- (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. x3x3o3o3o - tix, o3x3x3o3o - bittix
外部連結
- Glossary for hyperspace, George Olshevsky.
- Polytopes of Various Dimensions (頁面存檔備份,存於互聯網檔案館), Jonathan Bowers
- Truncated uniform polytera (頁面存檔備份,存於互聯網檔案館) (tix), Jonathan Bowers
- Multi-dimensional Glossary (頁面存檔備份,存於互聯網檔案館)