Coloured knots and coloured graphs representing 3-fold simple coverings of S-3

It is well-known that every closed orientable 3-manifold M(3) is the 3-fold simple covering M(3)(K,omega) of S-3 branched over a knot K: hence, M(3) may be visualized by the associated coloured knot (K,omega). On the other hand, PL-manifolds of arbitrary dimension may be represented by coloured graphs, via pseudosimplicial triangulations. The present paper produces an algorithm to construct a 4-coloured graph representing M(3)(K,omega), directly 'drawn over' the coloured knot (K,omega).