Geodesic
Illumination from within of the boundary of a~convex body
Sbornik. Mathematics, Tome 16 (1972) no. 1, pp. 87-94

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In this paper the following question is answered: Under what conditions is the boundary of an unbounded convex body illuminated from within by some set of light sources? Bibliography: 4 titles. 
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     author = {V. G. Boltyanskii and P. S. Soltan},
     title = {Illumination from within of the boundary of a~convex body},
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V. G. Boltyanskii; P. S. Soltan. Illumination from within of the boundary of a~convex body. Sbornik. Mathematics, Tome 16 (1972) no. 1, pp. 87-94. http://geodesic.mathdoc.fr/item/SM_1972_16_1_a6/