shots in a rectangle billiard, will the ball ever reach vertex B ?
Source: JBMO Shortlist 2013 C2
April 24, 2019
rectanglecombinatoricscombinatorial geometry
Problem Statement
In a billiard with shape of a rectangle with and , a ball is launched along the line of the bisector of . Supposing that the ball is reflected on the sides with the same angle at the impact point as the angle shot , examine if it shall ever reach at vertex B.