Geodesic
Lattice motions of the Euclidean plane
Sbornik. Mathematics, Tome 37 (1980) no. 2, pp. 245-259

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The idea of lattice motions of the plane is introduced; these motions arise quite naturally from the point of view of probability. A complete description of such motions is given, from which follows their close connection with quadratic extensions of the field of rational numbers. Bibliography: 7 titles. 
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     author = {V. M. Maksimov},
     title = {Lattice motions of the {Euclidean} plane},
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     number = {2},
     year = {1980},
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     url = {http://geodesic.mathdoc.fr/item/SM_1980_37_2_a5/}
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V. M. Maksimov. Lattice motions of the Euclidean plane. Sbornik. Mathematics, Tome 37 (1980) no. 2, pp. 245-259. http://geodesic.mathdoc.fr/item/SM_1980_37_2_a5/