Outer billiards and tilings of the hyperbolic plane

DOI10.2140/INVOLVE.2015.8.637zbMATH Open1376.37084arXiv1311.1930OpenAlexW1801987807MaRDI QIDQ2352928

Cristian Mihai Munteanu, Emily M. Fischer, Filiz Dogru

Publication date: 7 July 2015

Published in: Involve (Search for Journal in Brave)

Abstract: In this paper we present new results regarding the periodicity of outer billiards in the hyperbolic plane around polygonal tables which are tiles in regular two-piece tilings of the hyperbolic plane.

Full work available at URL: https://arxiv.org/abs/1311.1930

zbMATH Keywords

rotation numbertilingpolygonal billiardouter billiardhyperbolic billiard

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Combinatorial dynamics (types of periodic orbits) (37E15) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (2)

Billiards in ideal hyperbolic polygons ⋮ Hyperbolic outer billiards: a first example

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