What is “Voronoi”?

Voronoi also called a Voronoi tessellation, a Voronoi decomposition, or a Dirichlet tessellation (after Lejeune Dirichlet) is a special decomposition of a metric space determine by distances to specified discrete set object of object in a space. it’s name after Russian mathematician Georgy Voronoi. For more info about voronoi click here

Here I will demonstrate how to create simple case of voronoi diagram manually.

Mostly I used this diagram for spacing or dividing area into simple geometry. For rhino3d user you can used PointSetReconstruction plugin to create voronoi diagram.

Here my result exploring voronoi tools. using voronoi attractor definition for grasshopper (right-click and save)