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October 2006 Group of Isometries of the CC-Plane
R. Kaya, Ö. Gelişgen, S. Ekmekçi, A. Bayar
Missouri J. Math. Sci. 18(3): 221-233 (October 2006). DOI: 10.35834/2006/1803221

Abstract

In this work, it is shown that the group of isometries of the plane with respect to the Chinese Checkers metric is the semi-direct product of the Dihedral group $D_8$ and $T(2)$, where $D_8$ is the (Euclidean) symmetry group of the regular octagon and $T(2)$ is the group of all translations of the plane. Furthermore, some properties of the CC-plane are studied and the area formula for a triangle is given.

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R. Kaya. Ö. Gelişgen. S. Ekmekçi. A. Bayar. "Group of Isometries of the CC-Plane." Missouri J. Math. Sci. 18 (3) 221 - 233, October 2006. https://doi.org/10.35834/2006/1803221

Information

Published: October 2006
First available in Project Euclid: 3 August 2019

zbMATH: 1184.51021
MathSciNet: MR2009689
Digital Object Identifier: 10.35834/2006/1803221

Subjects:
Primary: 51F15
Secondary: 51Kxx , 51N25

Rights: Copyright © 2006 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.18 • No. 3 • October 2006
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