The isodiametric problem in the Euclidean plane is solved for lattice-point-free convex sets: we characterize the planar convex sets containing no points of the rectangular lattice in their interior, which have maximum area, for each given value of the diameter. Then we use this result for giving also an answer to the isodiametric problem in the case of an arbitrary lattice.

Vassallo, S. F., Hernandez Cifre, M., The isodiametric problem for lattice-point-free convex sets, <<ACTA MATHEMATICA HUNGARICA>>, 2007; (114 (4)): 337-355 [http://hdl.handle.net/10807/29375]

The isodiametric problem for lattice-point-free convex sets

Vassallo;
2007

Abstract

The isodiametric problem in the Euclidean plane is solved for lattice-point-free convex sets: we characterize the planar convex sets containing no points of the rectangular lattice in their interior, which have maximum area, for each given value of the diameter. Then we use this result for giving also an answer to the isodiametric problem in the case of an arbitrary lattice.
Inglese
Vassallo, S. F., Hernandez Cifre, M., The isodiametric problem for lattice-point-free convex sets, <<ACTA MATHEMATICA HUNGARICA>>, 2007; (114 (4)): 337-355 [http://hdl.handle.net/10807/29375]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/29375
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