The taxicab space group |
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Authors: | Ö. Gelişgen R. Kaya |
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Affiliation: | 1. Department of Mathematics, Faculty of Science and Arts, University of Eskisehir Osmangazi, Eskisehir, Turkey
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Abstract: | 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. |
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