Geodesic
Proper cyclic symmetries of multidimensional continued fractions
Sbornik. Mathematics, Tome 213 (2022) no. 9, pp. 1290-1317

Voir la notice de l'article provenant de la source Math-Net.Ru

We show that palindromic continued fractions exist in an arbitrary dimension. For dimension $n=4$ we also prove a criterion for an algebraic continued fraction to have a proper cyclic palindromic symmetry. Klein polyhedra are considered as multidimensional generalizations of continued fractions. Bibliography: 11 titles.
Keywords: Klein polyhedron, cyclic extension. 
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     author = {I. A. Tlyustangelov},
     title = {Proper cyclic symmetries of multidimensional continued fractions},
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I. A. Tlyustangelov. Proper cyclic symmetries of multidimensional continued fractions. Sbornik. Mathematics, Tome 213 (2022) no. 9, pp. 1290-1317. http://geodesic.mathdoc.fr/item/SM_2022_213_9_a4/