Article : Light trap - Lycée Żmichowska (Varsovie) Lycée Vicat (Souillac)

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Consider a plane figure f made of two sides AB and BC of a triangle and a ray of sun that slides into f and then emerges after 3 reflections. Find the measure of the angle and the direction of the ray so that we will obtain the maximum of reflections? Is it possible to obtain 4 / 5/ 6 / 11 reflections? Is it possible that the ray never comes out, that is to say, the number of reflections is infinite? If not, can we build another non-closed plane figure for which we can determine a ray of sun that gets trapped?