Need book on billiard ball type problems

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A request for book recommendations on billiard ball problems involving reflections within polygons is made, specifically excluding art gallery problems. The focus is on scenarios where the walls are mirrors. Participants are encouraged to suggest relevant literature or academic papers on this topic. The discussion emphasizes the need for resources that delve into the mathematical aspects of billiard dynamics. Recommendations for both books and papers are sought to aid in understanding this area of study.
Dragonfall
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I need a book about billiard balls (or light rays) bouncing around the inside of polygons. Any suggestions?

I am not talking about art gallery problems. The walls must be made of mirrors.
 
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Anyone?
 
Dragonfall said:
Anyone?

Or if anyone can refer me to some papers on the subject, that would be nice.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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