MathDB

A version of billiards is played on a right triangular table, with a pocket in each of the three corners, and one of the acute angles being

30^o

. A ball is played from just in front of the pocket at the

30^o

. vertex toward the midpoint of the opposite side. Prove that if the ball is played hard enough, it will land in the pocket of the

60^o

vertex after

8

reflections.

Problem Statement