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单词 PicksTheorem
释义

Pick’s theorem


Let P2 be a polygon with all vertices on lattice points on the grid 2. Let I be the number of lattice points that lie inside P, and let O be the number of lattice points that lie on the boundary of P. Then the area of P is

A(P)=I+12O-1.

In the above example, we have I=5 and O=13, so the area is A=1012; inspection shows this is true.

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更新时间:2025/5/4 9:43:01