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

Schwartz, Richard Evan

Exp. Math. 18, No. 2, 161-182 (2009).

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

Keywords:

obtuse angle; triangles; billiards; orbits

Software:

Mathematica