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Does every triangle have a periodic billiard path?

Does every triangle have a periodic billiard path?

Periodic billiard paths on regular polygons (Diana Davis)

Periodic billiard paths on regular polygons (Diana Davis)

[LoopMe] Periodic Orbit Families in a random Right Triangle

[LoopMe] Periodic Orbit Families in a random Right Triangle

Diana Davis, Periodic billiards on regular polygons

Diana Davis, Periodic billiards on regular polygons

Separation of nearby trajectories in triangular billiards

Separation of nearby trajectories in triangular billiards

BILLIARD BOARD l PUZZLE l From the right angled pocket of a triangular pool table whose pockets ,

BILLIARD BOARD l PUZZLE l From the right angled pocket of a triangular pool table whose pockets ,

O. Paris-Romaskevich - Triangle tiling billiards

O. Paris-Romaskevich - Triangle tiling billiards

Families of periodic trajectories on the regular pentagon

Families of periodic trajectories on the regular pentagon

Trajectories in a triangular billiard

Trajectories in a triangular billiard

Curtis McMullen - Billiards, Arithmetic and Hodge Theory

Curtis McMullen - Billiards, Arithmetic and Hodge Theory

Tutorial: Periodic trajectories in billiards - and where to find them

Tutorial: Periodic trajectories in billiards - and where to find them

Periodic Paths on Regular Polygons

Periodic Paths on Regular Polygons