Billiard King

A program for investigating
outer billiards on kites

links

• download Billiard King.
  web version of Billiard King: play with the program online.
• My paper proves that outer billiards on the Penrose kite has unbounded orbits.
• My monograph proves that outer billiards on any irrational kite has unbounded orbits.
• arxiv version of my monograph.
• The Set C from the monograph This is the set of unbounded special orbits in a certain interval.
• interactive guide to the monograph

demos

• demo: the outer billiards map
• demo: the arithmetic graph
• demo: unbounded orbits for the Penrose kite
• demo: The Box Theorem
• demo: The Copy Theorem
• demo: The Hexagrid Theorem
• demo: The Master Picture Theorem
• demo: Geometric limits
• demo: The Embedding Theorem
• demo: The Modular limit phenomenon