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柱状均匀多面体
具有二面體對稱性的均勻多面體 / 维基百科,自由的 encyclopedia
在几何学中,柱状均匀多面体(Prismatic uniform polyhedron)是指属于柱状形的均匀多面体,其通常具有二面体群对称性。其包括了角柱和反角柱,同时柱状均匀多面体也都是拟柱体。
性质
![](http://upload.wikimedia.org/wikipedia/commons/thumb/e/ee/Pentagrammic_antiprism.png/640px-Pentagrammic_antiprism.png)
柱状均匀多面体具有点可递的特性[1]。其对称性通常与其底面相关,例如五角星反角柱(英语:pentagrammic antiprism)的底面是一个五角星,因此其具有D5的二面体群对称性[2]。
列表
More information 对称群, 凸 ...
对称群 | 凸 | 星形 | ||||||
---|---|---|---|---|---|---|---|---|
d2d [2+,2] (2*2) |
![]() 3.3.3 | |||||||
d3h [2,3] (*223) |
![]() 3.4.4 | |||||||
d3d [2+,3] (2*3) |
![]() 3.3.3.3 | |||||||
d4h [2,4] (*224) |
![]() 4.4.4 | |||||||
d4d [2+,4] (2*4) |
![]() 3.3.3.4 | |||||||
d5h [2,5] (*225) |
![]() 4.4.5 |
![]() 4.4.5/2(英语:Pentagrammic prism) |
![]() 3.3.3.5/2(英语:Pentagrammic antiprism) | |||||
d5d [2+,5] (2*5) |
![]() 3.3.3.5 |
![]() 3.3.3.5/3(英语:Pentagrammic crossed-antiprism) | ||||||
d6h [2,6] (*226) |
![]() 4.4.6 | |||||||
d6d [2+,6] (2*6) |
![]() 3.3.3.6 | |||||||
d7h [2,7] (*227) |
![]() 4.4.7 |
![]() 4.4.7/2(英语:Heptagrammic prism (7/2)) |
![]() 4.4.7/3(英语:Heptagrammic prism (7/3)) |
![]() 3.3.3.7/2(英语:Heptagrammic antiprism (7/2)) |
![]() 3.3.3.7/4(英语:Heptagrammic crossed-antiprism) | |||
d7d [2+,7] (2*7) |
![]() 3.3.3.7 |
![]() 3.3.3.7/3(英语:Heptagrammic antiprism (7/3)) | ||||||
d8h [2,8] (*228) |
![]() 4.4.8 |
![]() 4.4.8/3(英语:Octagrammic prism) | ||||||
d8d [2+,8] (2*8) |
![]() 3.3.3.8(英语:Octagonal antiprism) |
![]() 3.3.3.8/3(英语:Octagrammic antiprism) |
![]() 3.3.3.8/5(英语:Octagrammic crossed-antiprism) | |||||
d9h [2,9] (*229) |
![]() 4.4.9 |
![]() 4.4.9/2(英语:Enneagrammic prism (9/2)) |
![]() 4.4.9/4(英语:Enneagrammic prism (9/4)) |
![]() 3.3.3.9/2(英语:Enneagrammic antiprism (9/2)) |
![]() 3.3.3.9/4(英语:Enneagrammic antiprism (9/4)) | |||
d9d [2+,9] (2*9) |
![]() 3.3.3.9(英语:Enneagonal antiprism) |
![]() 3.3.3.9/5(英语:Enneagrammic crossed-antiprism) | ||||||
d10h [2,10] (*2.2.10) |
![]() 4.4.10 |
![]() 4.4.10/3(英语:Decagrammic prism) | ||||||
d10d [2+,10] (2*10) |
![]() 3.3.3.10(英语:Decagonal antiprism) |
![]() 3.3.3.10/3(英语:Decagrammic antiprism) | ||||||
d11h [2,11] (*2.2.11) |
![]() 4.4.11 |
![]() 4.4.11/2 |
![]() 4.4.11/3 |
![]() 4.4.11/4 |
![]() 4.4.11/5 |
![]() 3.3.3.11/2 |
![]() 3.3.3.11/4 |
![]() 3.3.3.11/6 |
d11d [2+,11] (2*11) |
![]() 3.3.3.11(英语:Hendecagonal antiprism) |
![]() 3.3.3.11/3 |
![]() 3.3.3.11/5 |
![]() 3.3.3.11/7 | ||||
d12h [2,12] (*2.2.12) |
![]() 4.4.12 |
![]() 4.4.12/5(英语:Dodecagrammic prism) | ||||||
d12d [2+,12] (2*12) |
![]() 3.3.3.12(英语:Dodecagonal antiprism) |
![]() 3.3.3.12/5(英语:Dodecagrammic antiprism) |
![]() 3.3.3.12/7(英语:Dodecagrammic crossed-antiprism) | |||||
... |
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参见
参考文献
- Coxeter, Harold Scott MacDonald; Longuet-Higgins, M. S.; Miller, J. C. P. Uniform polyhedra. Philosophical Transactions of the Royal Society of London. Series A. Mathematical and Physical Sciences (The Royal Society). 1954, 246 (916): 401–450. ISSN 0080-4614. JSTOR 91532. MR 0062446. doi:10.1098/rsta.1954.0003.
- Kaleido Data: Uniform Polyhedron #4. (原始内容存档于2005-03-13).