Bennett, G. K.; Grannell, M. J. and Griggs, T. S.
(2001).
Cyclic bi-embeddings of Steiner triple systems on 31 points.
Glasgow Mathematical Journal, 43(1) pp. 145–151.
Abstract
We investigate cyclic bi-embeddings in an orientable surface of Steiner triple systems on 31 points. Up to isomorphism, we show that there are precisely 2408 such embeddings. The relationship of these to solutions of Heffter's first difference problem is discussed and a procedure described which, under certain conditions, transforms one bi-embedding to another.
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