The taxicab space group
ACTA MATHEMATICA HUNGARICA, cilt.122, ss.187-200, 2009 (SCI-Expanded, Scopus)
- 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.