Orientable biembeddings of Steiner triple systems of order 15

Grannell, M. J.; Griggs, T. S. and Knor, M. (2009). Orientable biembeddings of Steiner triple systems of order 15. Journal of Combinatorial Mathematics and Combinatorial Computing, 68 pp. 129–136.

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Abstract

A complete enumeration is given of orientable biembeddings involving five of the 80 Steiner triple systems of order 15. As a consequence, it follows that each of the 80 systems has a biembedding in an orientable surface, and precisely 78 of the systems have orientable self-embeddings.

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