doyle

Since last week, I’m very curious about circle packing. There are a couple of complete solutions on the internet. I’m still at early steps of such a solution yet. A full circle packing means that it does not include any gaps and each circle is tangent to all possible neighbors. Sounds easy in Grasshopper but I couldn’t see any solution yet. There a some circle packing attempts but they have gaps. Also I don’t want to use an evolutionary solver (Galapagos) or physical engine (Kangaroo) because I believe there is […]

After a couple of days with studying the mysterious Doyle spiral, I’ve decided to test an approach of circle packing from conformal geometry. Poincare disk (studied earlier at here, here and here and here)  is used as the hyperbolic representation of space. First, I linked a regular hexagonal grid data structure and rebuilt it after the hyperbolic distortion finding this result: Pretty much like a voronoi subdivision, but a very different thing in fact. My second attempt was to create a circle packing out of this: However I couldn’t manage to […]