[1] Take a side a

[2] Denote by t

[3] Take a side a

[4] Repeat steps [2], [3] as many times needed creating a sequence of triangles {t

The image above shows such a case of repeated reflexions in which line L starts at a point A of t

In the above particular case the resulting billiard ball path is closed (segment d controls the distance of A from the nearest corner of t

Produced with EucliDraw© |