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Escher tilings, inspired by the work of Dutch artist M.C. Escher, are inspiring tessellations that cover a plane using repeated geometric shapes without gaps or overlaps. He often used interlocking, recognizable figures like animals and birds to create these patterns, blending art with mathematical precision….

Here is one of the exercises I tested with a few students in Architectural Geometry. The exercise is about creating Escher-like patterns. It is an introductory topic on the designerly utilization of regular tessellations. We use square, hexagonal, or triangular tessellations as underlying structures of…

After Puzzling, I tried to establish more of Escher’s basic grid transformations using Grasshopper’s native components. This definition simulates Escher’s transformation of four-cornered grids. The postulate is based on the fact that every quadrilateral (or triangular) planar shape can create regular tessellations without gaps or…