Geodesic
The arithmetic and geometry of one-dimensional quasilattices
Čebyševskij sbornik, Tome 11 (2010) no. 1, pp. 255-262.

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In the paper we use some methods of number theory to study arithmetic and geometric properties of one-dimensional quasilattices. The parametrization of any quasilattice is obtained. Conditions of combinatorial and geometrical equivalence of quasilattices are found. We also study solutions of linear diophantine equations over quasilattices. 
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A. V. Shutov. The arithmetic and geometry of one-dimensional quasilattices. Čebyševskij sbornik, Tome 11 (2010) no. 1, pp. 255-262. http://geodesic.mathdoc.fr/item/CHEB_2010_11_1_a26/

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