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二階超無限邊形鑲嵌
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在幾何學中,二階超無限邊形鑲嵌又稱為二階偽多邊形鑲嵌(英語:order-2 pseudogonal tiling)是一種雙曲鑲嵌,由二個超無限邊形組成,可以視為二階無限邊形鑲嵌在羅氏幾何中的一個類比。其具有偽多邊形群(英语:Coxeter_notation#Rank two groups)(pseudogonal group)的對稱性,其考克斯特群為[iπ/λ,2][1],在施萊夫利符號會用{∞, 2}表示,但有時會被記為{iπ/λ,2}以區別二階無限邊形鑲嵌。
相關鑲嵌
更多信息 對稱群:[iπ/λ,2], (*∞22), [iπ/λ,2]+, (∞22) ...
對稱群:[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} | |||
半正對偶 | ||||||||||
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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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更多信息 球面鑲嵌, 二面體 ...
球面鑲嵌 | 二面體 | 歐式鑲嵌 仿緊空間 |
雙曲鑲嵌 非緊空間 | |||||||
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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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參見
參考文獻
- Johnson, Norman W. 11.2 The polygonal groups. Geometries and transformations. Cambridge University Press. 2018: 141.