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Obtuse triangular billiards. II: One hundred degrees worth of periodic trajectories. (English) Zbl 1417.37154

Summary: We give a rigorous computer-assisted proof that a triangle has a periodic billiard path when all its angles are at most one hundred degrees.

MSC:

37E15 Combinatorial dynamics (types of periodic orbits)
37D50 Hyperbolic systems with singularities (billiards, etc.) (MSC2010)
37C27 Periodic orbits of vector fields and flows
37C55 Periodic and quasi-periodic flows and diffeomorphisms

Software:

Mathematica
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