Bryan
I have used this off and on for about a week and a half now with varying results, though I believe it's largely due to the fact you have to imagine fractional portions of a sphere to aim at, at varying distances, which at least for me is easy to get wrong. I suppose the times it works, I did it correctly. But I have run into a few shots that to me seem to not have a mathematical solution.
I play almost exclusively, one pocket and a shot I see almost every game is say an object ball in front of my pocket, say exactly on what you call 1,1. Okay so say the cueball is at 1,3, or 3,1, whichever way that is, but 1 diamond off the short rail and 3 diamonds from my pocket. So we know this is exactly a 45 degree cut, but I cannot determine mathematically, by your system, what the solution for the shot is. I assume the object ball is in zone a. Now inside of the one diamond mark it makes sense, but from 1 diamond and out ther seems to be no solution, even though for a distance the balls are quite makeable. How do you do this. The same occurs at any point where the cueball and object falls are equal distances from the short rail. Now I can do the same as you do with the 20,20 shot and shoot it as 20, 24, ie, 10.12, and make the shot, but I wonder if I missed something here.