Dihedral Escherization

"Escherization" [9] 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 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. Key words: Tilings, tessellations, Escher, aperiodic, Penrose tilings

• Type: Conference
• Year: 2004
• Where: GRAPHICSINTERFACE
• Authors: Craig S. Kaplan, David Salesin
• Keywords: Escherization Algorithm, GRAPHICSINTERFACE 2004, GRAPHICSINTERFACE 2007, Penrose's Aperiodic Tilings, User-supplied Goal Shape