{{Infobox polyhedron
| name = 截半截角八面體
| polyhedron = 截半截角八面體
| imagename = Rectified truncated octahedron.svg
| rotating = Rectified truncated octahedron.gif
| rinfo = (-{zh-hant:點選檢視旋轉模型;zh-hans:单击查看旋转模型;}-)
| Type = 康威多面體
| Face = 38
| Edge = 72
| Vertice = 36
| Vertice_type = 3.6.3.63.4.3.6
| Schläfli = rt{3,4}
| Wythoff =
| Face_configuration = 24 { }∨() 等腰三角6 {4} 正方形8 {6} 正六邊形
| Symmetry_group = Oh, [4,3], (*432) order 48
| dual = 會合截角八面體
| Rotation_group = O, [4,3]+, (432), order 24
| Properties = 凸
| 3d_image = Rectified truncated octahedron.svg
| vfigimage = 3.6.3.6 vertex.png120pxFile:3.4.3.6 vertex.svg
| dual_image = Joined truncated octahedron.png
| net_image = Net of Rectified truncated octahedron.svg
}}
在幾何學中,截半截角八面體是一種凸多面體,是一種由截角八面體透過截半變換而產生的一種多面體,由於可由正多面體做為種子產生——正八面體→截角→截半,因此也是一種康威多面體。它一共有38個面,包含24個等腰三角形、6個正方形及8個正六邊形。
相關多面體
參見
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- 截半截角二十面體
參考文獻
- Coxeter Regular Polytopes, Third edition, (1973), Dover edition, ISBN 0-486-61480-8 (pp. 145–154 Chapter 8: Truncation)
- John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, ISBN 978-1-56881-220-5
外部連結
- [http://www.georgehart.com/virtual-polyhedra/conway_notation.html George Hart's Conway interpreter] : generates polyhedra in VRML, taking Conway notation as input
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