Impossible Bounce Problem

Geometry Level 2

Consider a polygonal billiard table with two marked points, one for a "ball" and one for a "hole". Suppose the ball is "hit" once to go off in any direction and the reflects off the billiard table an unlimited number of times. Is it possible to configure this such that the ball will never reach the hole, no matter which direction the ball is aimed at?

(This assumes geometric purity: the "ball" has no mass and the "ball" and "hole" are considered single points. Also, if the ball hits a vertex point as opposed to a side then the reflections are absorbed.)

×

Problem Loading...

Note Loading...

Set Loading...