Curve Evolution Schemes for Parquet Deformations

Craig S. Kaplan
Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (2010)
Pages 95–102


In this paper, I consider the question of how to carry out aesthetically pleasing evolution of the curves that make up the edges in a parquet deformation. Within the framework of simple arrangements of square tiles, I explore curve evolution models based on grids, iterated function systems, and organic labyrinthine paths.