{{Infobox polytope
| name = 截角立方體堆砌
| imagename = HC A2-P3.png
| imagename2 = Truncated cubic tiling.png
| caption2 = 線架圖
| polytope = 截角立方體堆砌
| Type = 均勻堆砌
| group_type =
| Dimension = 3
| dim =
| count =
| Cell =3.8.8
{3,4}
| Face = {3}
{8}
| Vertice_type =
Isosceles 四角錐
| Coxeter_diagram =
=
| Schläfli = t or t0,1
| analogy = 截角正方形鑲嵌
| convex =
| Symmetry_group = {\tilde{C}}_4
| Space_group = Pmm (221)
| Coxeter_group = {\tilde{C}}_3, [4,3,4]
| Fibrifold = 4−:2
| dual = 六雙立方堆砌
| Properties =
}}
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。
康威稱截半立方體堆砌為truncated cubille,因為它可以藉由立方體堆砌經過「截角」變換構造而來。
表面塗色
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 [http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471010030.html]
* (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.
评论 (0)