Delaunay triangulation

Hey kiddo, Have you ever played connect the dots? It's a lot of fun! Similar to this game, Delaunay triangulation is a way of connecting a bunch of points together in a certain way.

Let me explain, imagine you have a bunch of colored dots on a piece of paper. These dots represent different locations, like houses on a street, or cities on a map. Delaunay triangulation is a special way of connecting all these dots together by drawing lines between them that form triangles.

But, there are some rules to follow. The lines that we draw between them cannot criss-cross or overlap, and we want the triangles to be as big and spread out as possible. Kinda like playing a game of "string art".

By following these rules, we can create a special kind of pattern of connected triangles called a Delaunay triangulation. We can use this pattern to help us understand and analyze the different locations or points we connected.

For example, we could use this to plan out where to build a new road or neighborhood, or maybe for tracking the movements of animals in a wildlife park.

Overall, Delaunay triangulation is just a fancy way of connecting a bunch of points together with triangles so that we can better understand and analyze the locations they represent.