MathNet 2009-part-01 — 175 problems (EN–VI) Question 62

For which $n \ge 2$ is it possible to find $n$ pairwise non-similar triangles $A_1, A_2, \dots, A_n$ so that each one of them can be divided into $n$ triangles, similar to $A_1, A_2, \dots, A_n$?