an:05046012
Zbl 1102.11007
Karpenkov, Oleg
Three examples of three-dimensional continued fractions in the sense of Klein
EN
C. R., Math., Acad. Sci. Paris 343, No. 1, 5-7 (2006).
00184547
2006
j
11A55 11J70
continued fractions; sails
Author's abstract: The problem of the investigation of the simplest \(n\)-dimensional continued fraction in the sense of Klein for \(n\geq 2\) was posed by V. Arnold. The answer for the case in which \(n=2\) can be found in the works of \textit{E. I. Korkina} [Tr. Mat. Inst. Steklova 209, 143--166 (1995; Zbl 0883.11034)] and \textit{G. Lachaud} [``Voiles et poly??dres de Klein'', Preprint 95--22, Lab. Math. Discr??tes, CNRS, Marseille (1995)]. In this paper we study the case in which \(n=3\).
Thomas Schmidt (Corvallis)
Zbl 0883.11034