On triangular billiards

Abstract.

We prove a conjecture of Kenyon and Smillie concerning the nonexistence of acute rational-angled triangles with the lattice property.

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Received: July 13, 2000

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Puchta, J. On triangular billiards. Comment. Math. Helv. 76, 501–505 (2001). https://doi.org/10.1007/PL00013215

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  • Key words. Polygonal billiards, Veech property, Jacobsthal function.