The taxicab space group

GELİŞGEN Ö., Kaya R.

ACTA MATHEMATICA HUNGARICA, cilt.122, ss.187-200, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 122
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1007/s10474-008-8006-9
  • Dergi Adı: ACTA MATHEMATICA HUNGARICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.187-200
  • Anahtar Kelimeler: group, isometry, metric, taxicab metric, taxicab geometry
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

It is shown that the group of isometries of the 3-dimensional space with respect to taxicab metric is the semi-direct product of octahedral group O (h) and T(3), where O (h) is the (Euclidean) symmetry group of the regular octahedron and T(3) is the group of all translations of the 3-dimensional space.