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arXiv · 2212.04758

On symmetries of 3-dimensional algebraic continued fractions

Ibragim A. Tlyustangelov
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Abstract

In this paper we prove in detail a criterion for an algebraic continued fraction to have a proper palindromic symmetry in dimension $4$. We also present a new proof of the criterion for an algebraic continued fraction to have a proper cyclic palindromic symmetry in dimension $4$. As a multidimensional generalization of continued fractions, we consider Klein polyhedra.

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Ibragim A. Tlyustangelov. 2022-12-09. On symmetries of 3-dimensional algebraic continued fractions. https://arxiv.org/abs/2212.04758

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