Tiling billards on triangle tilings, and interval exchange transformations

DOI10.1112/jlms.12854arXiv1809.07876OpenAlexW2890692805MaRDI QIDQ6199334

Diana Davis, Paul Baird-Smith, Elijah Fromm, Sumun Iyer

Publication date: 23 February 2024

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07876

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Classical or axiomatic geometry and physics (51P05) Geometric optics (78A05)

Cites Work

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• Rel leaves of the Arnoux-Yoccoz surfaces
• Negative refraction and tiling billiards
• Periodicity and ergodicity in the trihexagonal tiling
• Interval exchange transformations over algebraic number fields: the cubic Arnoux–Yoccoz model
• Un exemple de semi-conjugaison entre un échange d'intervalles et une translation sur le tore
• Orbit structure of interval exchange transformations with flip
• The Rauzy Gasket
• Triangle Tiling Billiards and the Exceptional Family of their Escaping Trajectories: Circumcenters and Rauzy Gasket
• Tiling billiards and Dynnikov’s helicoid
• Geometry of Refractions and Reflections Through a Biperiodic Medium

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