If K is a triangulation of a closed 3-manifold M with E0
(K) edges and F0
(K) triangles, then the average edge order of K is defined to be
In , the relations between this quantity and the topology of M are investigated, especially in the case of μ0
(K) being small (where the study relies on Oda's classification of triangulations of 𝕊2 up to eight vertices—see ). In the present paper, the attention is fixed upon the average edge order of coloured triangulations; surprisingly enough, the obtained results are perfectly analogous to Luo-Stong' ones, and may be proved with little effort by means of edge-coloured graphs representing manifolds.