THE ISOMETRY GROUP OF CHINESE CHECKER SPACE


GELİŞGEN Ö., Kaya R.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, vol.8, no.2, pp.82-96, 2015 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 2
  • Publication Date: 2015
  • Journal Name: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
  • Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
  • Page Numbers: pp.82-96
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

In this article, we, firstly, find that the spheres in the Chinese Checkers space are deltoidal icositetrahedrons. Then we show that the group of isometries of the 3-dimensional space with respect to Chinese Checkers metric is the semi-direct product of deltoidal icositetrahedron group G (D) and T(3), where G (D) is the (Euclidean) symmetry group of the deltoidal icositetrahedron and T (3) is the group of all translations of the 3-dimensional space.