An Estimate for the Problem of Illumination of the Boundary of a Convex Body in E3 |
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| Authors: | Ioannis Papadoperakis |
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| Affiliation: | (1) Department of Mathematics, University of Crete, 714 09 Heraklion, Crete, Greece |
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| Abstract: | ![]()
Let A be a convex body in Euclidean space E3. We denote by H(A) the smallest number of homothetic 'reduced copies of A by which it is possible to cover the whole of A. The conjecture of Hadwiger is H(A)  8. We prove that H(A) 16. |
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| Keywords: | convex body Euclidean space conjecture of Hadwiger. |
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