Regarding the cabinet, why not ask for a sponsor from a 3D printer manufacturer? Instead of a wooden one, this plastic will be much thinner and smaller at the end. Is ther any rule that cabinet must be wooden, Art?
Regarding trigonometry, I think it can be made easier, with just two cordinates that move the ball. The perimeter is known, the ball has two cordinates it moves (x,y) and then if it hits the wall, the appropriate coordinate is reversed (-x,y or x,-y or -x,-y).
Ioannis
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