Any tiling with the hat monotile can be subdivided (in a unique way)
using the two clusters shown below
(click on the images to display six steps of the deflation process).
Reference: An aperiodic monotile
by D. Smith, J.S. Myers, C.S. Kaplan, C. Goodman-Strauss, figure 2.11 page 18.
[Images and animation obtained by M. Paolini using the PovRay raytracing software]
