Sizing Up Outer Billiard Tables | Zendy

Filiz Doǧru | Zendy; Samuel Otten | Zendy

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Sizing Up Outer Billiard Tables

Author(s) -

Filiz Doǧru,

Samuel Otten

Publication year - 2011

Publication title -

american journal of undergraduate research

Language(s) - English

Resource type - Journals

eISSN - 2375-8732

pISSN - 1536-4585

DOI - 10.33697/ajur.2011.008

Subject(s) - dynamical billiards , infinity , domain (mathematical analysis) , orbit (dynamics) , planet , physics , classical mechanics , motion (physics) , chaotic , space (punctuation) , particle (ecology) , mathematics , geometry , mathematical analysis , computer science , astronomy , artificial intelligence , geology , aerospace engineering , engineering , oceanography , operating system

The outer billiard dynamical system models the motion of a particle around a compact domain, such as a planet orbiting a star. When considering outer billiards in hyperbolic space, an interesting problem is to determine precisely the conditions in which an orbiting particle breaks orbit and escapes to infinity. Past work has classified triangular and Penrose kite billiard tables according to whether or not their orbiting particles escape. This article presents a classification of regular polygonal tables.

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