Geodesic
Gromov--Hausdorff distance between sets of vertices of regular polygons inscribed into a circle
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2023), pp. 23-27

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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. 
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     author = {T. K. Talipov},
     title = {Gromov--Hausdorff distance between sets of vertices of regular polygons inscribed into a circle},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {23--27},
     publisher = {mathdoc},
     number = {3},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2023_3_a3/}
}
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T. K. Talipov. Gromov--Hausdorff distance between sets of vertices of regular polygons inscribed into a circle. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2023), pp. 23-27. http://geodesic.mathdoc.fr/item/VMUMM_2023_3_a3/