oPhysics: Interactive Physics Simulations

Voronoi Diagrams with Cones

If you take a number of points on a plane, the plane can be broken up into regions where each region shows the part of the plane that is closest to one of the designated points. This type of a map is called a Voronoi diagram, or Voronoi tessellation. One way to create Voronoi diagrams is by using cones. The points on your plane act as the vertices of the cones, and when viewed from directly above, the Voronoi diagram is seen. Move the points and watch the diagram shift and morph. Use the checkbox to show the Voronoi boundaries generated by the GeoGebra Voronoi function. Slide the slider to see the cones collapse or grow.