在几何学中,扭棱六边形镶嵌是欧几里德平面上六边形镶嵌的一种变形,是种平面镶嵌,属于半正镶嵌图的一种,它的每个顶点上皆有4个三角形和一个六边形。在施莱夫利符号中用s{6,3}来表示。
康威称扭棱六边形镶嵌为snub hexatille,因为扭棱六边形镶嵌可由六边形镶嵌透过扭棱变换而构造出来。
相关半正镶嵌[编辑]
正三角形镶嵌家族的半正镶嵌
对称性: [6,3], (*632)
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[6,3]+, (632)
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[1+,6,3], (*333)
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[6,3+], (3*3)
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![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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![node_h](//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_h](//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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![node_h](//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_h](//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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{6,3}
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t0,1{6,3}
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t1{6,3}
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t1,2{6,3}
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t2{6,3}
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t0,2{6,3}
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t0,1,2{6,3}
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s{6,3}
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h{6,3}
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h1,2{6,3}
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半正对偶
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![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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![node_fh](//upload.wikimedia.org/wikipedia/commons/6/6f/CDel_node_fh.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_fh](//upload.wikimedia.org/wikipedia/commons/6/6f/CDel_node_fh.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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![node_fh](//upload.wikimedia.org/wikipedia/commons/6/6f/CDel_node_fh.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_fh](//upload.wikimedia.org/wikipedia/commons/6/6f/CDel_node_fh.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png)
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V6.6.6
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V3.12.12
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V3.6.3.6
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V6.6.6
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V3.3.3.3.3.3
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V3.4.12.4
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V.4.6.12
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V3.3.3.3.6
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V3.3.3.3.3.3
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参考文献[编辑]
- John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, ISBN 978-1-56881-220-5 [1]
- Klitzing, Richard. 2D Euclidean tilings s4s4s - snasquat - O10. bendwavy.org.
- Grünbaum, Branko ; and Shephard, G. C. Tilings and Patterns. New York: W. H. Freeman. 1987. ISBN 0-7167-1193-1. (Chapter 2.1: Regular and uniform tilings, p.58-65)
- Williams, Robert. The Geometrical Foundation of Natural Structure: A Source Book of Design. Dover Publications, Inc. 1979. ISBN 0-486-23729-X. p38
- 埃里克·韦斯坦因. Semiregular tessellation. MathWorld.