IB Math AI SL 3.6 - Voronoi Diagrams

This IB Math AI SL 3.6 – Voronoi Diagrams slide deck develops a clear, intuitive understanding of how Voronoi diagrams model proximity and optimal allocation in real-world contexts. The lesson introduces key terminology—sites, cells, edges, and vertices—while emphasizing how perpendicular bisectors form the structural backbone of every Voronoi diagram.

Students are guided step by step through constructing Voronoi edges, completing diagrams from given sites, and applying nearest neighbor interpolation to determine closest facilities. Carefully chosen applications, including city planning, water tower placement, coffee shop optimization, and the classic “toxic waste dump” problem, reinforce how Voronoi diagrams are used to maximize distance, minimize risk, or allocate resources fairly.

With its strong visual focus, structured methods, and exam-style problem-solving, this slide deck supports both classroom teaching and independent study, equipping students with the conceptual and procedural skills needed for IB assessment success in geometry and modeling.