Institut de Mathématiques de Luminy

Abstract 2002-14

Troubetzkoy Serge.
Central symmetries of periodic billiard orbits in right triangles.

We show that the midpoint of each periodic perpendicular beam hits the right-angle vertex of the triangle. The beam returns to itself after half its period with the opposite orientation, i.e. a Möbeius band.


Last update : july 5th, 2002, EL.