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Unit disk of the smallest self-perimeter in a Minkowski plane

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Abstract

On a Minkowski plane with nonsymmetric metric, we find all unit disks with self-perimeter 6, the smallest possible value.

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Authors and Affiliations

  1. Cherkassy State Technology University, Cherkassy, Ukraine

    A. I. Shcherba

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  1. A. I. Shcherba
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Original Russian Text © A. I. Shcherba, 2007, published in Matematicheskie Zametki, 2007, Vol. 81, No. 1, pp. 125–135.

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Shcherba, A.I. Unit disk of the smallest self-perimeter in a Minkowski plane. Math Notes 81, 108–116 (2007). https://doi.org/10.1134/S0001434607010105

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  • DOI: https://doi.org/10.1134/S0001434607010105

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