Jimaroid
Journeyman Pro
We can create a situation where a ball cannot fall into a hole. So, the answer to "Is every putt holeable?" is no.
The more complex question is actually determining whether or not un-holeable situations exist on any particular (and realistic) green? Due to the near infinite combinations of shape, slope, pace and relative positions between the ball and hole, it's an impossible problem to solve.
The more complex question is actually determining whether or not un-holeable situations exist on any particular (and realistic) green? Due to the near infinite combinations of shape, slope, pace and relative positions between the ball and hole, it's an impossible problem to solve.