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Research problems - MaRDI portal

Research problems (Q5902855)

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scientific article; zbMATH DE number 3915115
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English
Research problems
scientific article; zbMATH DE number 3915115

    Statements

    Research problems (English)
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    1985
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    On the sphere let \(\delta\) be the least angle at which two circles of an n-tuple of great circles intersect, and let \(\delta_ n\) be the maximum of \(\delta\) extended over all such n-tuples. Let analogously \(\Delta_ n\) be the maximum of all least angles determined in the Euclidean plane by n-tuples of pairwise intersecting circles. The author asks: Is \(\Delta_ n\) equal to \(\delta_ n\) for any \(n>1?\) Related problems are discussed as well.
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    least angle of circle-intersection on the sphere
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    least angle of circle- intersection in the Euclidean plane
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