The three letter substitution rule analysed by G. Rauzy in [Rau82] . The Rauzy fractal for this tiling is the Rauzy fractal.
[Rau82]
Rauzy, G
Nombres algébriques et substitutions (French) [Algebraic numbers and substitutions]
Bull. Soc. Math. France
1982,
110, 2,
pp. 147-178,
MR0667748