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.

[Ken96]

Kenyon, Richard

**The construction of self-similar tilings**

*Geom. Funct. Anal.*
1996,
6, 3,
pp. 471--488,
MR1392326