@inproceedings{Hooper2008BilliardsIN,
title={Billiards in Nearly Isosceles Triangles},
author={Wallace Hooper and Richard Evan Schwartz},
year={2008}
}

We prove that any sufficiently small perturbation of an isosceles triangle has a periodic billiard path. Our proof involves the analysis of certain infinite families of Fourier series that arise in connection with triangular billiards, and reveals some self-similarity phenomena in irrational triangular billiards. Our analysis illustrates the surprising fact that billiards on a triangle near a Veech triangle is extremely complicated even though billiards on a Veech triangle is very well… CONTINUE READING