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aserr
Always a fan of new approaches to old games. It would be interesting to see pool tables of other geometries and how someone skilled with traditional tables could translate those skills on to the new designs.
conistonwater
So what happens if instead of an ellipse you take a curve of negative curvature, so that the reflections would be a lot less predictable?
Qantourisc
Well you'd loose your reference points to pocket the ball in the hole, and thus the game would become a lot harder.

Also you'd have to be more specific about your shape to get a more detailed answer.