Polygonal symplectic billiards

19 Dec 2019 · Peter Albers, Gautam Banhatti, Filip Sadlo, Richard Schwartz, Serge Tabachnikov ·

In this article, we study polygonal symplectic billiards. We provide new results, some of which are inspired by numerical investigations. In particular, we present several polygons for which all orbits are periodic. We demonstrate their properties and derive various conjectures using two numerical implementations.