More sphere packing

This is the equal incircles theory.

I call it a minimum redundancy finite log network. It is also a condition for Stokes theorem I think. A unit sphere in nature can sum the 1/F for some collection and compute the finite log. Stokes theorem is mostly about maintaining more degrees of freedom within the surface than outside. It relies on symmetry across the surface to volume phase boundary, and so related to the number of ways motion can be combined. Physicists use the principle to count up probability in near vacuum states. The idea is closely related to the finite Zeta function. Lately I am a bit slogged down getting the 3 D plotter working and going through linear combinations of tanh and how they relate to quant shifts and roots relative to the proton. Inching along.