Relative Newton numbers (Q1207661)
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scientific article; zbMATH DE number 164921
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relative Newton numbers |
scientific article; zbMATH DE number 164921 |
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Relative Newton numbers (English)
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12 May 1993
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We describe a method for estimating the number of congruent copies of a convex body \(C\) in the plane that can touch another given body \(K\) without having interior points in common. This applies also to the case \(K=C\) thus giving bounds for the usual Newton number \(N(K)\) of \(K\). Especially we get \(N(T)=21\) for the isosceles triangle having base angles of \(30^ \circ\).
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congruent copies
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convex body
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Newton number
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