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edited Nov 9, 2022 at 11:27

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It is currently unknown if all triangles have a periodic billiard path. (See, for example, http://en.wikipedia.org/wiki/Outer_billiard#Existence_of_Periodic_Orbits https://en.wikipedia.org/wiki/Outer_billiards#Existence_of_periodic_orbits)

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created Jun 22, 2012 at 0:35

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It is currently unknown if all triangles have a periodic billiard path. (See, for example, http://en.wikipedia.org/wiki/Outer_billiard#Existence_of_Periodic_Orbits)