Here is the step-by-step generation of the old Snub Square Tiling. Frankly, this is the first step in the generation of Cairo Pentagonal Tiling I generated with Grasshopper earlier. Because Cairo pentagonal is the dual of a snub square. The first step was easy. Just dispatch cells of a square grid, then evaluate them according to the ratio of 0.366 approx. which is derived from the bisector of an equilateral […]
The intricate harmony of the Islamic Patterns is amazing. The geometry of this and other Islamic pattern designs are explained in the 3rd chapter of Craig S. Kaplan’s Ph.D. dissertation. I constructed a semi-regular tessellation, particularly the 4.8 because it seems to open interesting explorations that mostly emerge from truncated squares. We know equilateral triangles and hexagons are also fundamental shapes for this task. However, the dual nature of the […]
Back in 2011, one of the first posts on designcoding explored how to divide a surface in alternative ways. I called this Grasshopper definition a semi-regular surface tessellation. Although the term isn’t entirely accurate -since the pattern is neither planar nor made of equilateral shapes- it still reflects what I had in mind. Dividing surfaces into fabricable parts remains a key concept in learning parametric modeling, so I decided to […]
