Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2012, Volume 8, Number 4, Pages 357–366 (Mi jmag542)  
Antipodal polygons and their group properties

A. I. Medianik

Mathematics Division, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine
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Abstract: 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.
Key words and phrases: Hadamard matrix, circulant matrix, antipodal polygons, symmetry group, dihedral group, symmetrical group, equivalence class.
Received: 02.11.2012
Revised: 10.05.2012
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Document Type: Article
MSC: 05B20
Language: English
Citation: A. I. Medianik, “Antipodal polygons and their group properties”, Zh. Mat. Fiz. Anal. Geom., 8:4 (2012), 357–366
Citation in format AMSBIB
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\by A.~I.~Medianik
\paper Antipodal polygons and their group properties
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2012
\vol 8
\issue 4
\pages 357--366
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3053242}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000313525200003}
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