Voronoi Art with Generated Points

A Voronoi diagram is a partition of a plane into regions close to each of a given set of points in the plane. There are many algorithms and tools to construct a Voronoi diagram, given a set of points. One of the best tools I have come across is the one made by Alex Beutel (http://alexbeutel.com/webgl/voronoi.html). It also has a facility where you could specify your own set of points and get the diagram generated. After playing with it a bit, I thought it would be cool to generate the points with different functions using a program and see how the Voronoi diagram would be for each of the sets.

I wrote some code to create the points using various functions. You can find the source code here: https://github.com/rmadhuram/voronoi-dist.

1. Points on a grid

2. Honeycomb

If we displace the alternate row of points by half the distance between adjacent points, we get a nice honeycomb pattern.

3. Points on a circle with center

4. Points on concentric circles with center

5. Circles on a grid

6. Points on a spiral

7. Triangle

8. Circles over a circle

9. Points on a sine curve

10. Points on two perpendicular lines

11. Sierpinski

12. Angel Function

Points on the angel curve I discovered earlier (http://geekraj.com/?p=1056)

13. Combination pattern

Let me know if you made other cool designs!