We provide an algorithm to classify the asymptotic sets of the dominant polynomial mappings $F: \C^3 \to \C^3$ of degree 2, using the definition of the so-called "{ \it fa\c{ c}ons}" in \cite{ Thuy}. We obtain a classification theorem for the asymptotic sets of dominant polynomial mappings $F: \C^3 \to \C^3$ of degree 2. This algorithm can be generalized for the dominant polynomial mappings $F: \C^n \to \C^n$ of degree $d$, with any $(n, d) \in { (\N^*)}^2$.
Categories: math.AG