截角立方體堆砌
在幾何學中，截角立方體堆砌是一種歐幾里得三維空間的半正堆砌，由截角立方體和正八面體堆砌而成，是三維空間內28個半正密鋪之一，其對偶多面體為六雙立方堆砌。
| 截角立方體堆砌 | |
|---|---|
 | |
 線架圖 | |
| 類型 | 均勻堆砌 |
| 維度 | 3 |
| 對偶多胞形 | 六雙立方堆砌 |
| 類比 | 截角正方形鑲嵌 |
| 數學表示法 | |
| 考克斯特符號 |       =  |
| 纖維流形記號 | 4−:2 |
| 施萊夫利符號 | t{4,3,4} or t0,1{4,3,4} |
| 性質 | |
| 胞 | 3.8.8  {3,4}  |
| 面 | {3} .svg.png.webp){kind=small} {8}  |
| 組成與佈局 | |
| 顶点图 |  Isosceles 四角錐 |
| 對稱性 | |
| 對稱群 | |
| 空間群 | Pm3m (221) |
| 考克斯特群 | , [4,3,4] |
| 特性 | |
| 顶点正 | |
表面塗色
| Construction | Bicantellated alternate cubic | Truncated cubic honeycomb |
|---|---|---|
| 考克斯特群 | [4,31,1], | [4,3,4], =<[4,31,1]> |
| 空間群 | Fm3m | Pm3m |
| 表面塗色 |  |
 |
| 考克斯特符號 | = |
|
| 頂點圖 |  |
|
参考文獻
- George Olshevsky, Uniform Panoploid Tetracombs, Manuscript (2006) （包含11个凸半正镶嵌、28个凸半正堆砌、和143个凸半正四维砌的全表）
- Kaleidoscopes: Selected Writings of H.S.M. Coxeter, F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication参与编辑, 1995, ISBN 978-0-471-01003-6 （页面存档备份，存于）
- (22页) H.S.M.考克斯特, Regular and Semi Regular Polytopes I, [Math. Zeit. 46 (1940) 380-407, MR 2,10] (1.9 半正空间镶嵌)
- A. Andreini, Sulle reti di poliedri regolari e semiregolari e sulle corrispondenti reti correlative (On the regular and semiregular nets of polyhedra and on the corresponding correlative nets), Mem. Società Italiana della Scienze, Ser.3, 14 (1905) 75–129.
- John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, (2008) The Symmetries of Things, ISBN 978-1-56881-220-5 (Chapter 21, Naming the Archimedean and Catalan polyhedra and tilings, Architectonic and Catoptric tessellations, p 292-298, includes all the nonprismatic forms)
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.