Kenyon's Construction

As well as showing that there are substitution rules for every Perron Inflation Factor, [Ken96] gives an explicit construction for expansion factors $x$ with $x^n - p x^n-1+qx + r =0$, where $n,p,q,r$ are integers with $n>2, r$ positive, $p,q$ non-negative.


Kenyon, Richard
The construction of self-similar tilings
Geom. Funct. Anal. 1996, 6, 3, pp. 471--488, MR1392326