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Illuminating a convex polygon with vertex lights

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Abstract

We prove that the interior of every convex polygon with n vertices (n ≥ 4) can be illuminated by four 45°-vertex lights. We restrict each vertex to anchoring at most one floodlight. This answers a question of O’Rourke, Shermer and Streinu [5].

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References

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Correspondence to Dan Ismailescu.

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Ismailescu, D. Illuminating a convex polygon with vertex lights. Period Math Hung 57, 177–184 (2008). https://doi.org/10.1007/s10998-008-8177-3

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  • DOI: https://doi.org/10.1007/s10998-008-8177-3

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