Geodesic
Antipodal polygons and their group properties
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2012), pp. 357-366

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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. 
@article{JMAG_2012_8_a2,
     author = {A. I. Medianik},
     title = {Antipodal polygons and their group properties},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {357--366},
     publisher = {mathdoc},
     volume = {8},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2012_8_a2/}
}
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A. I. Medianik. Antipodal polygons and their group properties. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2012), pp. 357-366. http://geodesic.mathdoc.fr/item/JMAG_2012_8_a2/