The Hat monotile in FreeCad
The recent paper on the aperiodic monotile by Smith, Myers, Kapman and Goodman-Strauss discusses “The Hat” monotile with a delightfully simple geometry. It is very easy to construct in a parametric Cad program, for people interested here is a version in the FeeCAD.
The 2d geometry with the constraints, illustrating the construction
using three hexagons and perpendicular bisectors is shown below:
A 3d Rendering:
