“Escherization” is a process that finds an
Escher-like tiling of the plane from tiles that resemble
a user-supplied goal shape. We show how the original
Escherization algorithm can be adapted to the dihedral
case, producing tilings with two distinct shapes. We also use a
form of the adapted algorithm to create drawings in the style of
Escher's print Sky and Water.
Finally, we develop an Escherization algorithm for the very
different case of Penrose's aperiodic tilings.