Pick's Theorem Unpacked: From Grid Dots to Computer Graphics

Join us for a deep dive into Pick's Theorem, the tidy rule that links grid points to area. We’ll unpack the formula A = I + B/2 − 1 with intuition, explore two classic proofs (via Euler’s structure and triangulation), and see how the idea shows up in tiling, lattice points, and computer graphics. We’ll also discuss its limitations (curved edges and holes) and sketch a simple programming project to draw a polygon on a grid and compute its area in real time. By the end you’ll see counting dots isn’t just math trivia—it’s a surprisingly practical tool behind maps, games, and digital imagery.

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