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Illumination problem

Roger Penrose's solution of the illumination problem using elliptical arcs (blue) and straight line segments (green), with 3 positions of the single light source (red spot). The purple crosses are the foci of the larger arcs. Lit and unlit regions are shown in yellow and grey respectively.

Illumination problems are a class of mathematical problems that study the illumination of rooms with mirrored walls by point light sources.

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