Proving Pick's Theorem

The video tutorial explores Pick's Theorem, a simple formula for calculating the area of polygons with vertices on an integer lattice. It begins with an introduction to Euler's characteristic of planar graphs, followed by an induction proof for Euler's characteristic. The tutorial then applies Euler's characteristic to prove Pick's Theorem, breaking down the proof into three steps: showing small triangles have an area of one-half, triangulating the polygon, and counting the triangles. The video concludes with a book recommendation and answers viewer questions.

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