On a conjecture of Croft, Falconer and Guy on finite packings (Q1805508)
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scientific article; zbMATH DE number 756427
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a conjecture of Croft, Falconer and Guy on finite packings |
scientific article; zbMATH DE number 756427 |
Statements
On a conjecture of Croft, Falconer and Guy on finite packings (English)
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18 May 1995
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This article confirms a conjecture of Croft, Falconer and Guy which claims that the optimum shape to minimize the surface area or the diameter of the convex hull of \(m\) non-overlapping translates of a given convex body \(K\) is roughly spherical if \(m\) is large.
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\(n\)-dimensional Euclidean space
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finite packings
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optimum shape
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surface area
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diameter
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convex body
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