Covering \(n\)-segment unit arcs is not sufficient (Q878063)
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scientific article; zbMATH DE number 5146112
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Covering \(n\)-segment unit arcs is not sufficient |
scientific article; zbMATH DE number 5146112 |
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Covering \(n\)-segment unit arcs is not sufficient (English)
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26 April 2007
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In this note the authors construct a compact convex set which contains, for each positive integer \(n\), a congruent copy of any \(n\)-segment polygonal arc of unit length, but not every unit arc. It disproves a conjecture posed by \textit{J. Gerriets} and \textit{G. Poole} in [Am. Math. Mon. 81, 36--41 (1974; Zbl 0279.52007)].
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