As well as showing that there are substitution rules with any Perron inflation factor, in [Ken96], R. Kenyon gives an explicit construction for the Perron numbers that satsify: xn - a xn-1 + b x + c, where a,b, and c are natural numbers. This is an example of that method given in that paper. A locally isomorphic version with polygonal tiles is Kenyon (1,2,1) Polygon.
The construction of self-similar tilings
Geom. Funct. Anal., 1996, 6, 3, pp. 471--488, MR1392326