2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140392The problem of 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 of n=2 can be found in the works of E.Korkina and G.Lachaud. In present work we study the case of n=3.Number TheoryCombinatorics11H06; 52C07text