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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Zh. Mat. Fiz. Anal. Geom., 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

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.

MSC: 05B20

Received: 02.11.2012
Revised: 10.05.2012

Language: English



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