Algorithms for Morphing Escher-Like Tessellations

Kevin Lee
Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture (2015)
Pages 483–486 Short Papers


Inspired by the way M.C. Escher combined metamorphosis and regular division in his art, I explore linear and non-linear algorithms that automatically morph tiles from the base polygon to a final shape. The morphing can be visualized as an animation or as a parquet deformation.. The final algorithm involves an interactive cubic spline, path-based editor that gives the artist fine control over the intermediate morph frames.