Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Strange billiard tables


Author: Benjamin Halpern
Journal: Trans. Amer. Math. Soc. 232 (1977), 297-305
MSC: Primary 58F15; Secondary 34C35
MathSciNet review: 0451308
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Abstract: A billiard table is any compact convex body T in the plane bounded by a continuously differentiable curve $ \partial T$. An idealized billiard ball is a point which moves at unit speed in a straight line except when it hits the boundary $ \partial T$ where it rebounds making the angle of incidence equal to the angle of reflection. A rather surprising phenomenon can happen on such a table.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1977-0451308-7
Keywords: Billiard table, plane convex body, dynamical system
Article copyright: © Copyright 1977 American Mathematical Society