##  [Pick's Theorem](/picks-theorem) 

  ##  [Pick's Theorem](https://puremath.quantumdictionary.io/picks-theorem-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

For a simple polygon in the plane whose vertices lie on integer lattice points, Pick's theorem expresses the Euclidean area A as A = I + B/2 − 1, where I is the number of interior lattice points and B is the number of lattice points on the boundary.