Properties of set of points

26 Views Asked by At

Here is tinder fungus:
enter image description here
and it's pores:
enter image description here
I was wondering what can be said about this pattern. Using Wolfram Mathematica we can get the following results.

Delaunay triangulation:
enter image description here
Voronoi diagram:
enter image description here

These patterns are not like packing circles. Something they remind, but I can not formulate (

Radial distribution function:
enter image description here
Last one causes a strong assumption that we are dealing with short-range order
Is it so?
I was always interested in the low-discrepancy distributions. The pattern of these pores looks very suitable. I tried to calculate the discrepancy using this article. But getting 0.25 for all known distributions :(
Is it possible to find a more detailed description of the calculation method for 2D discrepancy?
Additionally, I got histograms of the lengths of the edges and areas of triangles of Delaunay triangulation:
enter image description here
Can any interesting conclusions be drawn from this?