Inserted: 31 mar 2017
Last Updated: 4 apr 2017
We consider two-dimensional discrete thin films obtained from $N$ layers of a triangular lattice, governed by an antiferromagnetic energy. By a dimension-reduction analysis we show that, in contrast with the ``total frustration'' of the triangular lattice, the overall behaviour of the thin film is described by a limit interfacial energy on functions taking $2^N$ distinct parameters. In a sense, then the total frustration is recovered as $N$ tends to infinity.