Just to close the loop here, Penrose is also famous (to his readers, anyway) for his beautiful hand-drawn diagrams and illustrations. So it’s a terrific name for this project.

And has five-fold symmetry, which is impossible for wallpaper groups.

The discovery of Penrose tilings is partially tangled up with the discovery of quasicrystals, where researchers found minerals with 5-fold and 10-fold symmetry that ought to have been mathematically impossible to exist. Turns out that the Crystallographic Restriction Theorem has an important caveat that people neglected up until the 1980s: it assumes that you have to have translational symmetry, which Penrose tilings do not.