Exponentially many nonisomorphic orientable triangular embeddings of

We show that for s ≥ 11 there are at least 2 2 s − 11 nonisomorphic orientable triangular embeddings of K 12 s + 3 . The result completes the proof that there are constants M , c > 0 , b ≥ 1 / 12 such that for every n ≥ M there are at least c 2 b n nonisomorphic orientable as well as nonorientable genus embeddings of the complete graph K n .