Kenyon (1,2,1)
Discovered by
Info
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
Patch
References
[Ken96]
Kenyon, Richard
The construction of self-similar tilings
Geom. Funct. Anal.
1996,
6, 3,
pp. 471--488,
MR1392326