  The well-known plastic number substitution gives rise to a ternary inflation
tiling of the real line whose inflation factor is the smallest
Pisot-Vijayaraghavan number. The corresponding dynamical system has pure point
spectrum, and the associated control point sets can be described as regular
model sets whose windows in two-dimensional internal space are Rauzy fractals
with a complicated structure. Here, we calculate the resulting pure point
diffraction measure via a Fourier matrix cocycle, which admits a closed formula
for the Fourier transform of the Rauzy fractals, via a rapidly converging
infinite product.
