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Donovan, D. M.; Grannell, M. J. and Griggs, T. S.
(2010).
DOI: https://doi.org/10.1017/S0017089510000376
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.