  We refine Catalan numbers and Fu{\ss}-Catalan numbers by introducing colour
statistics for triangulations of polygons and $d$-dimensional generalisations
there-of which we call Fu{\ss}-Catalan complexes. Our refinements consist in
showing that the number of triangulations, respectively Fu{\ss}-Catalan
complexes, with a given colour distribution of its vertices is given by closed
product formulae. The crucial ingredient in the proof is the Lagrange-Good
inversion formula.
