April 2025

In large-scale projects, calculating tiling layouts for wall, floor, and ceiling surfaces becomes even more critical. Evolutionary optimization of these tilings seemed to be a viable approach yesterday. Considering how time-consuming and labor-intensive this process can be, I tried using Galapagos, an old but often overlooked feature in Grasshopper, which might be particularly useful in this situation. Galapagos provides an alternative interface for evolutionary optimization within Grasshopper. It works by minimizing or maximizing a fitness value you define, using parameters…

Although it appears simple, Goldberg Polyhedra in Grasshopper became a tough challenge, which I like a lot. I spent about 24 hours attempting to generate these polyhedra. I started with Goldberg’s original method. This creates an equilateral triangle using coordinates denoted as m and n on a hexagonal grid. Then, we place this triangle onto the faces of an icosahedron. Finally, we project them onto a concentric sphere. We can create many polyhedra by changing the values of m and…

The Hilbert Curve is one of the results of David Hilbert’s vision of mathematics as a network of symbolic systems. Defined in 1891, this curve is a fractal that fills a two-dimensional plane with a one-dimensional line in the limit. It exhibits self-similarity. It emerged from representing higher-dimensional spaces through continuous, lower-dimensional entities. A curve that grows within a bounded area remains continuous but non-differentiable. Yet it possesses infinite length. Perhaps no one will ever truly see or fully grasp…

I had been researching Goldberg Polyhedra for a while. While exploring how to perform chamfer operations in Grasshopper, I found some interesting results. I want to share them with you. In this Grasshopper project, I reused my previous work, where I built a dodecahedron using the golden ratio. Essentially, all I did was add the Fillet Edge component. I don’t use this component much, so I learned it through this process. At one point, I realized I had created a…

Robotic EarthCrafts II occurred in the summer of 2024 at Istanbul Bilgi University, seven years after the first. Together with Fulya Özsel Akipek, Nilüfer Kozikoglu, Abdullah Mallah, and Halit Mallah, we experimented with the robotic fabrication of molds for rammed-earth structures. The focus shifted toward a human scale based on the experience gained from Robotic EarthCrafts I. At the workshop’s core were spatial systems resembling muqarnas, which incorporated non-planar geometric transitions. Unlike the first workshop, we utilized a parametric model to design and generate robot…