[math-fun] 10-Planet Somsky-Gear System Discovered?

I've not confirmed the mesh analytically as yet, but I believe this is an exact "Somsky-Gear" system of 10 planets, all non-overlapping: Annulus: 73 teeth, Sun: 57, Planets: 2x5, 2x7, 2x8, 2x9, 2x11 Sun Displacement: 6.47941... (in units where a gear of radius n has n teeth) Static png: https://drive.google.com/open?id=0B2889vNnzpsTMjEwNDlDSnZjRWc Animated gif: https://drive.google.com/open?id=0B2889vNnzpsTNTBFUGhqVXNGTjQ -- WRSomsky <wrsomsky@gmail.com>