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solv-int1996★ 11 cited
On the integrability of the square-triangle random tiling model
Jan de Gier, Bernard Nienhuis
It is shown that the square-triangle random tiling model is equivalent to an asymmetric limit of the three colouring model on the honeycomb lattice. The latter model is known to be…
solv-int1996★ 11 cited
The exact solution of an octagonal rectangle triangle random tiling
Jan de Gier, Bernard Nienhuis
We present a detailed calculation of the recently published exact solution of a random tiling model possessing an eight-fold symmetric phase. The solution is obtained using Bethe A…
solv-int1996★ 19 cited
Exact Solution of an Octagonal Random Tiling Model
Jan de Gier, Bernard Nienhuis
We consider the two-dimensional random tiling model introduced by Cockayne, i.e. the ensemble of all possible coverings of the plane without gaps or overlaps with squares and vario…