Jarnik's convex lattice $n$-gon for non-symmetric norms

Details Jarnik's convex lattice $n$-gon for non-symmetric norms Jarnik's convex lattice $n$-gon for non-symmetric norms

2009-11-23

arxiv.org/abs/0911.4361v1

Mathematics

Metric Geometry

22 pages

Scientific paper

What is the minimum perimeter of a convex lattice $n$-gon? This question was
answered by Jarnik in 1926. We solve the same question in the case when
perimeter is measured by a (not necessarily symmetric) norm.

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