📐 Pick's Theorem · Lattice Simulator

interactive grid polygon | Area = I + B/2 − 1

✦ integer lattice points ✦

💡 Click on grid intersections to add vertices (order matters). Polygon closes automatically.

📊 Pick's theorem analysis

🔷 Boundary points (B) —

🟢 Interior points (I) —

📐 Shoelace Area —

🧮 Pick's Area = I + B/2 − 1 —

⚡ waiting for polygon (≥3 vertices)

📍 Vertices (click order)

— none —

boundary lattice point interior point vertex