MathDB

There is a table in the shape of a

8\times 5

rectangle with four holes on its corners. After shooting a ball from points

A, B

and

C

on the shown paths, will the ball fall into any of the holes after 6 reflections? (The ball reflects with the same angle after contacting the table edges.)
http://s5.picofile.com/file/8372960750/E01.png
Proposed by Hirad Alipanah

Problem Statement