扭稜六邊形鑲嵌
在幾何學中,扭稜六邊形鑲嵌是歐幾里德平面上六邊形鑲嵌的一種變形,是種平面鑲嵌,屬於半正鑲嵌圖的一種,它的每個頂點上皆有4個三角形和一部個六邊形。在施萊夫利符號中用s{6,3}來表示。
扭稜六邊形鑲嵌 | |
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![]() (點選檢視大圖) | |
類別 | 半正鑲嵌 |
頂點圖 | 3.3.3.3.6 |
頂點佈局 | 34.6 |
考克斯特符號 | ![]() ![]() ![]() ![]() ![]() |
施萊夫利符號 | s{6,3} |
威佐夫符號 | | 6 3 2 |
對稱群 | p6, [6,3]+, (632) |
對偶 | 花形五邊形鑲嵌 |
旋轉對稱群 | p6, [6,3]+, (632) |
特性 | Vertex-transitive |
![]() 3.3.3.3.6 (頂點圖) | |
![]() 花形五邊形鑲嵌 (對偶多面體) | |
相關半正鑲嵌
对称性: [6,3], (*632) | [6,3]+, (632) | [1+,6,3], (*333) | [6,3+], (3*3) | |||||||
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{6,3} | t0,1{6,3} | t1{6,3} | t1,2{6,3} | t2{6,3} | t0,2{6,3} | t0,1,2{6,3} | s{6,3} | h{6,3} | h1,2{6,3} | |
半正对偶 | ||||||||||
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V6.6.6 | V3.12.12 | V3.6.3.6 | V6.6.6 | V3.3.3.3.3.3 | V3.4.12.4 | V.4.6.12 | V3.3.3.3.6 | V3.3.3.3.3.3 |
參考文獻
- John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, ISBN 978-1-56881-220-5
- Richard Klitzing, 2D Euclidean tilings, s4s4s - snasquat - O10
- Grünbaum, Branko ; and Shephard, G. C. . New York: W. H. Freeman. 1987. ISBN 0-7167-1193-1. (Chapter 2.1: Regular and uniform tilings, p.58-65)
- Williams, Robert. . Dover Publications, Inc. 1979. ISBN 0-486-23729-X. p38
- 埃里克·韦斯坦因. . MathWorld.
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