Billiard Paths

(Originally posted at on September 3, 2010 10:08 PM)

Many years ago (perhaps around 1998), I bought a copy of Joseph O’Rourke’s Art Gallery Theorems and Algorithms (published in 1987) from a BOOKSALE outlet.  One of my favorite sections was the one on Mirrors (section 10.5) because it had a lot of open problems on illumination and billiard paths.  I have written a short article (Periodic Billiard Paths in Triangles) targeted at undergraduates.  It’s a summary of one open problem:  does every triangle have a periodic billiard path?


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