This Demonstration shows a Voronoi diagram or a Delaunay triangulation using points on a spiral.
The algorithm is simple: draw points on an equiangular (or logarithmic) spiral. The point has distance from the center equal to . The difference of the angles between two points is .
The points are then used to generate a Voronoi diagram or a Delaunay triangulation.
 Andrzej Golonka.