Geodesic
Sails and norm minima of lattices
Sbornik. Mathematics, Tome 196 (2005) no. 3, pp. 337-365 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is known that a real number is badly approximable if and only if its partial quotients are uniformly bounded. In this paper an analogous assertion is proved for the so-called sails, which is one of the most natural multidimensional generalizations of continued fractions. 
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O. N. German. Sails and norm minima of lattices. Sbornik. Mathematics, Tome 196 (2005) no. 3, pp. 337-365. http://geodesic.mathdoc.fr/item/SM_2005_196_3_a1/

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