Bella’s Eve Tools

I’m in the planning/prototyping phase for an exploration app.  These are some links and notes mainly for myself:

http://petitjeanmichel.free.fr/itoweb.petitjean.spheres.html#REF1

http://mathworld.wolfram.com/Sphere-SphereIntersection.html

http://mathworld.wolfram.com/ReuleauxTetrahedron.html

Anyway, the intention of the app (if I’m ever able to make it), is to determine the coverage given a particular placement of probes as well as possibly finding the best possible coverage.  It turns out that computational chemistry of all places has the most information on the strategies I’m considering using.  Although it might be closer to plain ol’ topology or advanced 3-d math - sadly, I’m currently lacking knowledge in these areas.  So there is much research and learnin’ to be done.

If you know much about spherical intersections and volume calculations with N spheres, drop me a line.   Hacking through all this myself is pretty tough so far.