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Viewing and realizing diameters

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Abstract.

This paper is about diameters of compact sets. These are chords of maximal length. On one hand we see that the sum of the angles under which we see a diameter from two points of the set separated by the diameter is never smaller than 5π/6. On the other hand we describe cases in which the diameter of a point-symmetric set must join symmetric points.

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  1. Fachbereich Mathematik, Universität Dortmund, 44221, Dortmund, Germany

    Tudor Zamfirescu

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  1. Tudor Zamfirescu
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Correspondence to Tudor Zamfirescu.

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Zamfirescu, T. Viewing and realizing diameters. J. geom. 88, 194–199 (2008). https://doi.org/10.1007/s00022-007-1825-y

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  • DOI: https://doi.org/10.1007/s00022-007-1825-y

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