Geodesic
Optimization of boundaries of remains for bounded remainder sets on two-dimensional torus
Čebyševskij sbornik, Tome 14 (2013) no. 1, pp. 9-17

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We consider two-dimensional bounded remainder sets, which are constructed by a hexagonal developmant of the torus. Also, we find optimization of boundaries for these sets.
Keywords: bounded remainder sets, distribution of fractional parts, toric development, exchanged domains, three-dimensional metric. 
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     author = {A. A. Abrosimova and D. A. Blinov and T. V. Polyakova},
     title = {Optimization of boundaries of remains for bounded remainder sets on two-dimensional torus},
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A. A. Abrosimova; D. A. Blinov; T. V. Polyakova. Optimization of boundaries of remains for bounded remainder sets on two-dimensional torus. Čebyševskij sbornik, Tome 14 (2013) no. 1, pp. 9-17. http://geodesic.mathdoc.fr/item/CHEB_2013_14_1_a1/