二複合正六邊形鑲嵌

二複合正六邊形鑲嵌
二複合正六邊形鑲嵌
類別平面鑲嵌
對偶多面體六階六角星鑲嵌
數學表示法
考克斯特符號
英语Coxeter-Dynkin diagram
node_1 6 node 6 rat 2x node 
施萊夫利符號{6,6/2}
2{6,3}
{{6,3}}
威佐夫符號
英语Wythoff symbol
6/2 | 6 2
組成與佈局
頂點圖66/2
對稱性
對稱群[6,3], (*632)
特性
點可遞邊可遞面可遞
圖像

66/2
頂點圖

六階六角星鑲嵌
對偶多面體

幾何學中,二複合正六邊形鑲嵌(英語:Compound of two hexagonal tiling)是一種有重疊的平面鑲嵌,為六階六角星鑲嵌的對偶,其與截半六邊形鑲嵌的對偶菱形鑲嵌共用頂點與邊,即有相同的頂點佈局。

二複合正六邊形鑲嵌可視為由兩個正六邊形鑲嵌交錯重疊,在施萊夫利符號中,用{6,6/2}表示或計為{6,6|2}、2{6,3}、{{6,3}}或{6,6/2}。其頂點圖為六角星

相關鑲嵌

星形多面體和鑲嵌系列:(n/2)n
對稱群
*n32
[n,3]
球面鑲嵌 平面鑲嵌 雙曲鑲嵌 仿緊湊 非緊湊
*532
[5,3]
*632
[6,3]
*732
[7,3]
*832
[8,3]
*932
[9,3]...
*∞32
[∞,3]
 
[iπ/λ,3]
考克斯特紀號 node_1 5 rat 2x node 5 node  node_1 6 rat 2x node 6 node  node_1 7 rat 2x node 7 node  node_1 8 rat 2x node 8 node  node_1 9 rat 2x node 9 node  node_1 infin rat 2x node infin node  node_1 infin rat 2x node ultra node 
星形
頂點
佈局英语Vertex_configuration

(5/2)5

(6/2)6

(7/2)7

(8/2)8

(9/2)9

(/2)
(/2)
星形對偶
考克斯特紀號 node_1 5 node 5 rat 2x node  node_1 6 node 6 rat 2x node  node_1 7 node 7 rat 2x node  node_1 8 node 8 rat 2x node  node_1 9 node 9 rat 2x node  node_1 infin node infin rat 2x node  node_1 ultra node infin rat 2x node 
星形
頂點
佈局英语Vertex_configuration

(55)/2

(66)/2

(77)/2

(88)/2

(9/2)9
()/2 ()/2

參見

參考文獻

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