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

被引：0
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作者：
Ioannis Papadoperakis
机构：
[1] University of Crete,Department of Mathematics
来源：
Geometriae Dedicata | 1999年 / 75卷
关键词：
convex body; Euclidean space; conjecture of Hadwiger.;
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摘要：
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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页码：275 / 285
页数：10
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