Mathematics

Gromov–Hausdorff distance between sets of vertices of regular polygons inscribed into a circle

T. K. Talipov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We calculate the Gromov–Hausdorff distance between vertex sets of regular polygons endowed with the round metric. We give a full answer for the case of $n$- and $m$-gons with $m$ divisible by $n$. We also calculate all distances to $2$-gons and $3$-gons.

Key words: metric geometry, Gromov–Hausdorff distance, metric space.

UDC: 511

Received: 14.10.2022

DOI: 10.55959/MSU0579-9368-1-64-3-4

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2023, 78:3, 130–135

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