Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 47, No. 2, pp. 345-350 (2006)
Illumination of direct sums of two convex figures
E. D. Baladze and V. G. Boltyanski4/11 Panaskerteli street, 380094 Tbilisi, Georgia, CIMAT, A.P. 402, Guanajuato 36000, Mexico
Abstract: In this article we solve the problem of finding all possible values of the illumination number for the direct vector sum of two compact, convex planar figures which are not assumed to be smooth. It is proved that the possible values are only 7, 8, 9, 12, and 16.
Keywords: direct vector sum, convex body, illumination number
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Electronic version published on: 19 Jan 2007. This page was last modified: 5 Nov 2009.