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 triangle. Now, we have a snub square tiling, composed of tilted squares, but to process it further and explore different potentials, I had to tell Grasshopper about the equal triangles also. So that made the definition a little bit more crowded because I had to connect proper vertex IDs of different grid cells and join them together to emerge new shapes:
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#patterns #grasshopper #semiregular #snubsquare #tessellation #digitaldesign #parametricdesign