2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73083This paper is a short survey of the recent results on examples of periodic two-dimensional continued fractions (in Klein's model). In the last part of this paper we formulate some questions, problems and conjectures on geometrical properties concerning to this subject.18 pages, 13 Postscript figuresNumber Theory11H06 (Primary); 52C07 (Secondary)text