Grow in accessible directions, like Voronoi diagrams

Abstract “Grow in accessible directions, like Voronoi diagrams” offers an accessible introduction to the mathematics of Voronoi diagrams—a separation of a two-dimensional plane into regions known as “cells” based on “sites.” In a Voronoi diagram, any point inside a cell is closer to the site of its cell than the site of any other cell. The discussion includes numerous real-life examples of Voronoi diagrams—also known as a Voronoi tessellations—in nature and regional planning. The discussion is supplemented with numerous hand-drawn sketches to enhance understanding. Mathematics students and enthusiasts are encouraged to draw inspiration from Voronoi diagrams by growing in accessible directions in mathematical and life pursuits. At the chapter’s end, readers may check their understanding by working on a problem. A solution is provided.