Kenyon (1,2,1)

Discovered by


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.

Substitution Rule

Rule Kenyon (1,2,1)


Patch Kenyon (1,2,1)


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