Berfin Sanem Top Beste Tekdoğan Kerem Yücel Utkan Kanberoğlu Summer School at IBU opened the course Architectural Geometry this year. Here is one of the exercises I tested with a few students. This is about creating Escher-like patterns for an introductory topic on the designerly utilization of those “boring” regular tessellations. Square, hexagon or triangular tessellations are used as underlying structures of more seemingly-complex patterns.

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. Postulate is based on the fact that every quadrilateral (or triangular) planar shape can create regular tessellations without gaps or overlaps. In traditional method, this tessellation is achieved by rotating the shape 180 degrees and copying afterwards. However, in Grasshopper we simply define a fifth point for each shape and divide subsurfaces into four triangular surfaces. There are also more complicated methods of Escher that should […]