Ever wondered how your phone knows the closest cell tower? Or how scientists model territories, cracks, and even galaxies? That’s a Voronoi diagram. A Voronoi diagram partitions space based on distance to a set of points (called sites). Every region contains all locations closer to its site than to any other. The boundaries form where distances are equal—mathematically precise, visually elegant. Formally: Given a set of points in a metric space, the Voronoi cell for one point is the set of all locations whose distance to that point is minimal. In 2D, this creates polygonal regions; in higher dimensions, it generalizes to complex polyhedra. Why it’s powerful 👇 • Efficiency: Converts “find the nearest thing” into a geometric lookup • Scalability: Works from a handful of points to millions • Universality: Same math applies across wildly different systems Where Voronoi diagrams are actually used: • 📡 Telecom networks – assigning coverage areas to towers • 🌍 Geography & GIS – neares...