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Kaya R., GELİŞGEN Ö., Ekmekci S., Bayar A.
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, vol.39, no.2, pp.591-603, 2009 (SCI-Expanded)
Article / Article
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Isometry, distance, metric, taxicab distance, Chinese checkers metric, dihedral group, symmetry groups
Eskisehir Osmangazi University Affiliated:
In this work, we show that the group of isometries of the plane with generalized absolute value metric is either the semi-direct product of the group D-4 and T(2) or the semi-direct product of the Dihedral group D-8 and T(2) where D-4 and D-8 are the (Euclidean) symmetry groups of the square and the regular octagon, respectively; and T(2) is the group of all translations of the plane.