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Outer billiards
and tilings of the hyperbolic plane
Filiz Dogru, Emily M. Fischer and Cristian Mihai Munteanu
Vol. 8 (2015), No. 4, 637–651
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Abstract |
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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. |
Keywords
hyperbolic billiards, outer billiards, polygonal billiards,
symbolic dynamics, tiling, rotation number, crochet
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Mathematical Subject Classification 2010
Primary: 37E15
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Milestones
Received: 28 May 2014
Accepted: 20 June 2014
Published: 23 June 2015
Communicated by Kenneth S. Berenhaut
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Authors |
| Filiz Dogru | |
| Department of Mathematics Grand Valley State University Allendale, MI 49401 United States |
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| Emily M. Fischer | |
| Harvey Mudd College Claremont, CA 91711 United States |
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| Cristian Mihai Munteanu | |
| Department of Mathematics Jacobs University Bremen D-28759 Bremen Germany |
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