Geodesic
Antipodal polygons and their group properties
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2012) no. 4, pp. 357-366 
A. I. Medianik. Antipodal polygons and their group properties. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2012) no. 4, pp. 357-366. http://geodesic.mathdoc.fr/item/JMAG_2012_8_4_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We study the groups of transformations which transform antipodal polygons into antipodal ones as well as their order and the number of equivalence classes of $n$-gons inscribed into the regular $(2n-1)$-gon.

[1] A.I. Medianik, “Antipodal $n$-gons Inscribed into the Regular $(2n-1)$-gon and Half-circulant Hadamard Matrices of Order $4n$”, Mat. fiz., analiz, geom., 11 (2004), 45–66 (Russian) | MR | Zbl

[2] A.I. Medianik, “Regular Simplex Inscribed into a Cube and Hadamard Matrix of Half-circulant Type”, Mat. fiz., analiz, geom., 4 (1997), 458–471 (Russian) | MR | Zbl

[3] H. Hasse, Vorlesungen uber Zahlentheorie, Izd. inostr. lit., Moscow, 1953 (Russian)

[4] A.G. Kurosh, Theory of Group, Nauka, Moscow, 1967 (Russian) | Zbl

[5] H.G. de Bruijn, “Theory of Polya's enumeration”, Applied combinatorial mathematics, Mir, Moscow, 1968, 61–106 (Russian)

[6] G. Polya, Mathematical Discovery, Nauka, Moscow, 1976 (Russian)