Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 3, Pages 23–27
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-3-4 (Mi vmumm4536) 		 
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
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DOI: https://doi.org/10.55959/MSU0579-9368-1-64-3-4
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.
Received: 14.10.2022
English version:
Moscow University Mathematics Bulletin, 2023, Volume 78, Issue 3, Pages 130–135
DOI: https://doi.org/10.3103/S0027132223030075
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: T. K. Talipov, “Gromov–Hausdorff distance between sets of vertices of regular polygons inscribed into a circle”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 3, 23–27; Moscow University Mathematics Bulletin, 78:3 (2023), 130–135
Citation in format AMSBIB
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\by T.~K.~Talipov
\paper Gromov--Hausdorff distance between sets of vertices of regular polygons inscribed into a circle
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 3
\pages 23--27
\mathnet{http://mi.mathnet.ru/vmumm4536}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-3-4}
\zmath{https://zbmath.org/?q=an:07741293}
\elib{https://elibrary.ru/item.asp?id=53868402}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2023
\vol 78
\issue 3
\pages 130--135
\crossref{https://doi.org/10.3103/S0027132223030075}
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