Una aproximación geométrica a la caracterización del billar de Sinai

we present a geometrical construction of the map associated to the sinai billiard in the largest scatterer limit. the main result is validated by checking how consecutive iterations of the map are in agreement with symmetrical reflections on the plane sections of the boundary. results that can be useful not only in the characterization of the sinai？s billiard but in areas such as non-destructive testing are shown