DessinDessins d'enfant have a nice particular case of shabbatShabat trees, where we take a tree, bicolor it, and get a polynomial map.
A very famous set of trees isare the Dynkin diagrams,. I wonder what are the special properties of the polynomialpolynomials the Dessindessins d'enfant with them produces.
As an example, An becomes$A_n$ produces the chebychevChebyshev polynomials.