Integer Sequences from Circle Divisions in Rational Billiards

14 Mar 2020 Jaud Daniel

We study rational circular billiards. By viewing the trajectory formed after each reflection point to another inside the circle as the number of circle divisions into regions we derive a general formula for the number of division regions after each reflection... (read more)

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Categories


  • DYNAMICAL SYSTEMS
  • ALGEBRAIC GEOMETRY
  • NUMBER THEORY