Open AccessOuter billiards outside a regular dodecagon
Author(s) -
Filipp Rukhovich
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524854415-421
Subject(s) - dynamical billiards , aperiodic graph , mathematical proof , orbit (dynamics) , mathematics , periodic orbits , physics , classical mechanics , mathematical analysis , geometry , combinatorics , engineering , aerospace engineering
The existence of an aperiodic orbit for an outer billiard outside a regular dodecagon is proved. It is shown that almost all orbits of such an outer billiard are periodic, and all possible periods are explicitly listed. The proofs of the theorems make use of computer calculations.