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An Estimate for the Problem of Illumination of the Boundary of a Convex Body in E3

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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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Authors and Affiliations

  1. Department of Mathematics, University of Crete, 714 09, Heraklion, Crete, Greece

    Ioannis Papadoperakis

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  1. Ioannis Papadoperakis
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Papadoperakis, I. An Estimate for the Problem of Illumination of the Boundary of a Convex Body in E3. Geometriae Dedicata 75, 275–285 (1999). https://doi.org/10.1023/A:1005056207406

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  • DOI: https://doi.org/10.1023/A:1005056207406

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