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[几何] 雙耳定理

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hbghlyj posted 2024-3-1 17:20 |Read mode
zh.wikipedia.org/wiki/簡單多邊形
根據雙耳定理,每個非三角形的簡單多邊形都有兩個,即有兩個有此特性的頂點:該頂點相鄰兩頂點的對角線完全位於多邊形內部。[7]
一個相關定理指出,每個非凸的簡單多邊形都有一個嘴,即有一個有此特性的頂點:該頂點相鄰兩頂點的對角線完全位於多邊形外部。恰好有兩個耳和一個嘴的多邊形稱為擬人多邊形[15]

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