Dihedral Escherization


Craig S. Kaplan and David H. Salesin. Dihedral Escherization. In GI '04: Proceedings of the 2004 conference on Graphics Interface, 2004, pages 255-262.


“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.


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