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Strange billiard tables
A billiard table is any compact convex body <italic>T</italic> in the plane bounded by a continuously differentiable curve <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="partial-differential upper T"> <mml:semantics> <mml:mrow> <mml:mi mathvariant="normal">∂<!-- ∂ --></mml:mi> <mml:mi>T</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">\partial T</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. An idealized billiard ball is a point which moves at unit …