This is a fragment shader in GLSL that sets up a random set of points, computes the Voronoi partition by a distance metric And applies a variety of transformations to achieve an intersting effect.
I am using the random function given by Martijn in The Art of Code in Voronoi Explained and as a starting point, his method.
In the current incarnation I am calling my Minkowsi distance function
float minkd(vec2 u, vec2 v, float order) { if (order <= 0.) return 0.; return abs(pow(abs(pow(v.x - u.x, order)) + abs(pow(v.y - u.y, order)), 1. / order)); }
with order = 1.0, which produces the angular effects seen. Calling it with order = 2.0 for bog-standard Euclidean distance results in much more rounded shapes, and other values produce a more fragmented effect.
The shader is ripe for further experimentation.