locus of midpoints of trajectories in a pool table

Asked Oct 29 '18 at 15:21

Active Oct 29 '18 at 15:21

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There are a square pool table and two points, $P$ and $Q$, inside it. There are of course infinite different ways to let a ball go from $P$ to $Q$ (hitting it just once). The question is: if we consider all these trajectories and take the midpoint for each one of them, how many points do we have?

asked Oct 29 '18 at 15:21

Lance

2

How would you like to define the mid point when the ball bounces off the boundary multiple times? – Lee David Chung Lin Oct 29 '18 at 16:00
1

You might find this question helpful. – amd Oct 29 '18 at 19:04

locus of midpoints of trajectories in a pool table

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