Abstract
It is shown that a regular polygon inR n with the (2n)n-metric has at most (2n)n vertices.
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Blokhuis, A., Wilbrink, H.A. Alternative proof of sine's theorem on the size of a regular polygon in Rn with the ℓ∞-metric. Discrete Comput Geom 7, 433–434 (1992). https://doi.org/10.1007/BF02187853
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DOI: https://doi.org/10.1007/BF02187853