Three examples of three-dimensional continued fractions in the sense of Klein

The problem of the investigation of the simplest n-dimensional continued fraction in the sense of Klein for $n?2$ was posed by V. Arnold. The answer for the case $n=2$ can be found in the works of E. Korkina (1995) and G. Lachaud (1995). In present Note we study the case $n=3$. To cite this article: O. Karpenkov, C. R. Acad. Sci. Paris, Ser. I 343 (2006).