Obtuse Triangular Billiards I: Near the (2, 3, 6) Triangle

DOI10.1080/10586458.2006.10128961zbMath1112.37030OpenAlexW1971914103MaRDI QIDQ3428095

Richard Evan Schwartz

Publication date: 27 March 2007

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1175789737

zbMATH Keywords

combinatorial lengthperiodic billiard pathtriangular billiards problemtriangular region in the plane

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Combinatorial dynamics (types of periodic orbits) (37E15)

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Book Review: Outer billiards on kites ⋮ Billiard Circuits in Quadrilaterals ⋮ Survey lecture on billiards ⋮ On the existence of Fagnano trajectories in convex polygonal billiards ⋮ Qualitative properties of systems of two complex homogeneous ODE’s: A connection to polygonal billiards ⋮ A proof of Culter's theorem on the existence of periodic orbits in polygonal outer billiards ⋮ Billiard dynamics: An updated survey with the emphasis on open problems ⋮ Minimizing closed geodesics on polygons and disks ⋮ You can hear the shape of a billiard table: symbolic dynamics and rigidity for flat surfaces ⋮ The Dirichlet isospectral problem for trapezoids ⋮ Finiteness in polygonal billiards on hyperbolic plane

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