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正多边形镶嵌

正多边形镶嵌就是用正多边形铺满整塊平面

正镶嵌图

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全用同一种正多边形来铺满整塊平面,叫正镶嵌图。正镶嵌图有3种,也只有這3種。只有正三角形、正方形、正六邊形才能如此镶嵌。


36
正三角形鑲嵌


44
正方形鑲嵌


63
正六邊形鑲嵌

半正镶嵌图

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用不同正多边形铺满整塊平面,但交叉点周围的正多边形种类和顺序都相同叫半正镶嵌图。半正镶嵌图有8种。


34.6
扭稜六邊形鑲嵌


3.6.3.6
截半六邊形鑲嵌


33.42
異扭稜正方形鑲嵌


32.4.3.4
扭稜正方形鑲嵌


3.4.6.4
小斜方截半六邊形鑲嵌


4.82
截角正方形鑲嵌


3.122
截角六邊形鑲嵌


4.6.12
大斜方截半六邊形鑲嵌

参考文献

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外部链接

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Euclidean and general tiling links:

Hyperbolic tiling links:

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正多边形镶嵌
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