Fixing system and homothetic covering (Q1093912)

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scientific article; zbMATH DE number 4024183
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English
Fixing system and homothetic covering
scientific article; zbMATH DE number 4024183

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    Fixing system and homothetic covering (English)
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    1987
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    The author considers ``primitive fixing systems'' of a given convex body K, i.e. minimal sets of points on \(bd K,\) such that K is stabilized with respect to translations. This notion was introduced by L. Fejes Tóth. The number of fixing points obviously depends on K and on their position on bd K. The author proves several special results.
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    convex bodies
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    packing
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    covering
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    primitive fixing systems
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