Hum, so it is. In which case it seems distinctly unintuitive that you should end up with an irregular arrangement from your repelling points - I'd have expected bilateral symmetry if nothing else.

In atomic terms, it's pretty much the case that you want to maximise the angle between bonds as well as maximising the distance between atoms. I wonder if you'd get to buckminsterfullerene if you built that aspect in. Probably not without restricting the number of bonds per atom as well, in which case you've probably built in enough assumptions to make it trivial.