Some recent results on packing and convering with incongruent circles (Q2707493)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some recent results on packing and convering with incongruent circles |
scientific article |
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9 January 2002
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circle packings and coverings
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solid packings and coverings
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survey
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Some recent results on packing and convering with incongruent circles (English)
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This is a nice survey on packings and coverings of the Euclidean plane or the unit sphere with not necessarily congruent circles. The concept of solid packing (covering) is central in this context. Section 2 deals with solid and nonsolid packings and coverings in the plane. Results of Féjès Tòth and of his conjecture are discussed. Sufficient conditions for the solidity of covering of exactly two different sizes are described. In section 3, packings of circles on the unit sphere are discussed and again deeper explanation is given in the case of two different radii.NEWLINENEWLINEFor the entire collection see [Zbl 0948.00038].
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