Abstract. We generalize a "nonstandard product construction" to obtain plenty of face 2-colourable triangular embeddings of K_mn,mn,mn from one (rather special) face 2-colourable triangular embedding of K_m,m,m and one of K_n,n,n. Consequently, we show that there are infinitely many infinite (but rather sparse) families of z and a constant a>0 for which there are at least z^az2 nonisomorphic face 2-colourable triangular embeddings of K_z.