Corpus ID: 119118905

Outer Billiards on Regular Polygons

  title={Outer Billiards on Regular Polygons},
  • G.H.Hughes
  • Published 2013
  • Mathematics
  • In 1973, J. Moser proposed that his Twist Theorem could be used to show that orbits of the outer billiards map on a sufficiently smooth closed curve were always bounded. Five years later Moser asked the same question for a convex polygon. In 1987 F. Vivaldi and A. Shaidenko showed that all orbits for a regular polygon must be bounded. R. Schwartz recently showed that a quadrilateral known as a Penrose Kite has unbounded orbits and he proposed that 'most' convex polygons support unbounded orbits… CONTINUE READING