Covering a convex body by smaller homothetic copies |
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| Authors: | Valeriu Soltan Éva Vásárhelyi |
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| Institution: | (1) Mathematical Institute of the Moldavian Academy of Sciences, str. Academiei 5, Kishinev, Moldova;(2) Department of Geometry, Eötvös Loránd University, Múzeum Krt 6-8, H-1088 Budapest, Hungary |
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| Abstract: | Let a convex bodyA E
n be covered bys smaller homothetic copies with coefficients  1, ...,
s
, respectively. It is conjectured that 1 + ...+
s
 n. This conjecture is confirmed in two cases:n is arbitrary ands=n+1;s is arbitrary andn=2. |
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| Keywords: | |
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