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二阶超无限边形镶嵌
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在几何学中,二阶超无限边形镶嵌又称为二阶伪多边形镶嵌(英语:order-2 pseudogonal tiling)是一种双曲镶嵌,由二个超无限边形组成,可以视为二阶无限边形镶嵌在罗氏几何中的一个类比。其具有伪多边形群(英语:Coxeter_notation#Rank two groups)(pseudogonal group)的对称性,其考克斯特群为[iπ/λ,2][1],在施莱夫利符号会用{∞, 2}表示,但有时会被记为{iπ/λ,2}以区别二阶无限边形镶嵌。
相关镶嵌
More information 对称群:[iπ/λ,2], (*∞22), [iπ/λ,2]+, (∞22) ...
对称群:[iπ/λ,2], (*∞22) | [iπ/λ,2]+, (∞22) | |||||||||
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{iπ/λ,2} | t{iπ/λ,2} | r{iπ/λ,2} | 2t{iπ/λ,2}=t{2,iπ/λ} | 2r{iπ/λ,2}={2,iπ/λ} | rr{iπ/λ,2} | tr{iπ/λ,2} | sr{iπ/λ,2} | |||
半正对偶 | ||||||||||
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V∞2 | V2.∞.∞ | V2.∞.2.∞ | V4.4.∞ | V2∞ | V2.4.∞.4 | V4.4.∞ | V3.3.2.3.∞ |
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More information 球面镶嵌, 二面体 ...
球面镶嵌 | 二面体 | 欧式镶嵌 仿紧空间 |
双曲镶嵌 非紧空间 | |||||||
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![]() {1,2} ![]() ![]() ![]() |
![]() {2,2} ![]() ![]() ![]() ![]() ![]() |
![]() {3,2} ![]() ![]() ![]() ![]() ![]() |
![]() {4,2} ![]() ![]() ![]() ![]() ![]() |
![]() {5,2} ![]() ![]() ![]() ![]() ![]() |
![]() {6,2} ![]() ![]() ![]() ![]() ![]() |
![]() {7,2} ![]() ![]() ![]() ![]() ![]() |
![]() {8,2} ![]() ![]() ![]() ![]() ![]() |
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![]() {∞,2} ![]() ![]() ![]() ![]() ![]() |
![]() {iπ/λ,2} ![]() ![]() ![]() ![]() ![]() |
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参见
参考文献
- Johnson, Norman W. 11.2 The polygonal groups. Geometries and transformations. Cambridge University Press. 2018: 141.