Donovan, D. M.; Grannell, M. J. and Griggs, T. S.
(2010).
Third-regular bi-embeddings of Latin squares.
Glasgow Mathematical Journal, 52(3) pp. 497–503.
Abstract
For each positive integer 
, there is a well-known regular orientable Hamiltonian embedding of 
, and this generates a regular face 2-colourable triangular embedding of 
. In the case 
(mod 8), and only in this case, there is a second regular orientable Hamiltonian embedding of . The current paper presents an analysis of the face 2-colourable triangular embedding of that results from this. The corresponding Latin squares of side 
are determined, together with the full automorphism group of the embedding.
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