I’ve been searching for a method to study the Voronoi subdivision in order to manipulate it. There are well-known algorithms for that. But I thought it would be better if I use a projective approach just as I did in studying hyperbolic space (here). This is the metaphor of inflating balloons. However, I inflated cones instead of spheres. This way, it became possible to modify the algorithm. So I was able to develop a kind of variable Voronoi study here….
This was my old plan to work with images in Grasshopper. Certainly, that was not the result I expected, but this could be counted as a starting point. After seeing beautiful circle packing compositions here, I decided to program Grasshopper, so that it’ll create a subdivision, based on image data. This was the initial version, just subdividing a plane with Voronoi points and visualizing it according to the image’s color values of proper UV coordinates. There is no interpretation on…
That was about six months ago, our study for a design competition required a spatial allocation algorithm. An office building with a rectangular plot and a strict functional requirement forced me to the good old Voronoi diagrams, subdividing a surface. However, there were other design parameters such as the sunlight and orientations of each functional cell. Combining a couple of graph components helped me create diverse solutions later used in the functional-formal interpretation phase. Unfortunately, later on, the competition was…