THE ISOMETRY GROUP OF CHINESE CHECKER SPACE

GELİŞGEN Ö., Kaya R.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, cilt.8, sa.2, ss.82-96, 2015 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 2
  • Basım Tarihi: 2015
  • Dergi Adı: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.82-96
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

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.