Here, our aim is to generate a 3D Voronoi puzzle ready for 3D printing. Below is the step-by-step explanation of this Grasshopper algorithm: The 3D Voronoi Puzzle Step number one is the application we saw earlier in the Voronoi diagrams. We obtain random polyhedra within a given volume quickly. The basic features we need for the puzzle are: (1) When we solve the puzzle the final volume should be a cube. (2) We should control the dimensions of the total…
In this Voronoi puzzle exercise, we derive two-dimensional puzzles by using Voronoi diagrams. This is similar to my previous studies here, and here. Part 1: The Random Voronoi Diagram In section 1 of the below image, I use a rectangular region to generate random points. Then, I create a standard Voronoi diagram by using those points. Finally, I explode the Voronoi cells. Part 2: The Voronoi Puzzle Details In the second part, we draw an arc on the edges of…
Kündekâri is an old woodworking technique, composed of interlocking parts without any glue or nail. It is primarily used in wooden doors and minbers inside Mosques. The interlocking system makes the whole structure very durable. I tried to model this technique using the Voronoi pattern, naming it Voronoi Kündekâri. Below you see a typical example of Kündekâri pieces and the resulting pattern. The interesting part of the Grasshopper model is to define the tongue-and-groove detail. It is similar to a…
Nowadays, I found myself back into traditional hand sketching. Several failed attempts on Grasshopper led me back there. NURBS (and Grasshopper) somehow limits our conception of surfaces to four-cornered (or two-directional) manifolds. Although it sounds like limiting our designs, having four-cornered component spaces has still lots of experimental fields for designers. Escher is a cult person, who transforms the euclidean coordinate system to meet his design intentions. There are lots of interesting research about him, and he shows us how…