arXiv:2209.05940 Abstract | arXiv Analytics

arXiv:2209.05940 [math.MG]Abstract References Reviews Resources

Some extremal problems for polygons in the Euclidean plane

Published 2022-09-13Version 1

The paper is devoted to some extremal problems, related to convex polygons in the Euclidean plane and their perimeters. We present a number of results that have simple statements and rather intricate proofs. Related and yet unsolved problems are discussed.

Comments: 18 pages, 15 pictures. Comments are welcome!

Categories: math.MG

Subjects: 52A10, 52A40, 52B60

Keywords: euclidean plane, extremal problems, convex polygons, simple statements

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