Billiards in Nearly Isosceles Triangles

  title={Billiards in Nearly Isosceles Triangles},
  author={Wallace Hooper and Richard Evan Schwartz},
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


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