On L. Fejes Tóth's ''sausage-conjecture'' (Q793988)
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scientific article; zbMATH DE number 3857871
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On L. Fejes Tóth's ''sausage-conjecture'' |
scientific article; zbMATH DE number 3857871 |
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On L. Fejes Tóth's ''sausage-conjecture'' (English)
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1984
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\textit{L. Fejes Tóth} [Period. Math. Hung. 6, 197-199 (1975)] conjectured that the convex hull of a packing of k Euclidean balls of unit radius in \(E^ d\) (\(d\geq 5)\) has minimal volume if and only if the centers of the balls are arranged on a line segment of length 2k-2. Amongst others the authors prove this conjecture under the assumption that the centers of the balls are all contained in a 2-dimensional plane.
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packing of balls
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