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Depicted here is a pattern obtained from a non-linear transformation applied to a Penrose tiling. Such tilings are generated using two different tile shapes — a “Kite” and a “Dart” and through imposing certain matching rules on their edges [1]. The properties of Penrose tilings are of wide-ranging interest. They give rise to non-periodic, self-similar patterns with fivefold symmetry which have a host of fascinating mathematical properties [2]. They offer a theoretical model for some newly discovered materials which have been called “Quasi-crystals” [3, 4]. They also offer a new structure on which to base aesthetically pleasing designs [5]…