## Smallest PV

### Info

The three letter substitution rule whose scaling is the smallest PV number, the Plastic Number which is a root of the polynomial `$x^3 - x - 1 = 0$`

.
Though it might not look it at first glance, the Rauzy fractal is connected.
This can be shown using the method of A. Siegel described in [Sie04].

The Rauzy fractal:

### Substitution Rule

### Patch

### References

[Sie04]

Siegel, Anne

**Pure discrete spectrum dynamical system and periodic tiling associated with a substitution**

*Ann. Inst. Fourier (Grenoble)*
2004,
54, 2,
pp. 341--381,