Grasshopper

In Turkish, there is a strange word “baklava” that has many uses. According to Wikipedia: Baklava is a rich, sweet pastry made of layers of filo pastry filled with chopped nuts and sweetened with syrup or honey. It is characteristic of the cuisines of the…

It all started with my new passion for origami tessellations, not much of origami, but the tessellation part. I was too lazy to fold it physically, nor model them using an engine such as Kangaroo. That would also be very unnecessary (and yes, very boring)…

You might recall this type of parametric brickwork from architectural classics, such as the Programmed Wall by ETH Zurich and Gramazio Kohler Research, or the facade of the Mulberry House by SHoP Architects. Initially, I explored the simplest method for placing boxes on a surface,…

Here are funny icons from Martin Berube (other icon sets of him here) if you plan to build your components or clusters in Grasshopper. It somehow became a fashion of Rhinoceros, to give names of animals to products, that at first seemed to be only…

The famous “Deutsch limit” says, “you cannot have more than -say a hundred- components in a visual programming environment, that is why you cannot write an operating system with it.”; so it says, the perceptual and pedagogical advantages of visual programming are limited according to…

After playing with vector fields in 2d (here) it was quite easy to create a 3d surface deformation. Here is my first experiment on a regular triangular grid’s three-dimensional behavior within a vector space, that includes a point charge of varying z coordinates. That makes…

Back to the basics. I finally had time to test the vector fields components in Grasshopper. It was a couple of updates ago, a new tool group emerged in the vector tab, introducing different types of vector fields to users. Then, these fields could be…

In this exercise, Grasshopper draws various Archimedean spirals. It constructs polar points and maps them onto a range of angles and a number of points. The spiral’s turning speed is determined by the constant “a,” while the constant “n” gives unique names to the spirals…

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…

Today’s Architectural Geometry course was about platonic solids and different attractor objects in introducing component-based design systems. Benay’s idea was both pedagogical and interesting to test in Grasshopper. I searched for the most fundamental type of attractor solid in creating a composition such as this;…

The Möbius strip is a famous mathematical object. Although being in three-dimensional space, it is a closed-loop of only one surface and only one edge. This quality alone makes the object an interesting study for computational design. I aimed to create an object to test…

This is a late update for my 2012 study on Cairo Pentagonal Tiling (or Cairo Tessellation). Originally, it was an exercise of dual tessellations. Because this tiling is the dual of the famous semi-regular tessellation of Snub Square. After coding the Snub Square tiling, I…

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…

The intricate harmony of the Islamic Patterns is amazing. The geometry of this and other Islamic pattern designs are explained in the 3rd chapter of Craig S. Kaplan’s Ph.D. dissertation. I constructed a semi-regular tessellation, particularly the 4.8 because it seems to open interesting explorations…

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…

Today’s fractal is the famous Mandelbrot Set. The Mandelbrot set is a well-known and complex mathematical set often associated with fractals and chaos theory. Named after the mathematician Benoît B. Mandelbrot, it’s a set of complex numbers defined by a simple iterative process. The Mandelbrot…

Today’s fractal is the Julia Set, the amazing simplicity of chaos. There are lots of applets and articles on the internet about this fractal. You can generate this with the iteration of a basic function many times and placing points on the complex plane. I…

After a couple of days of studying the mysterious Doyle spiral, I’ve decided to test an approach of circle packing from conformal mapping. First, I tried to understand the Poincare disk (earlier at here, here, and here and here). I used it as the hyperbolic representation…

We can create tessellations of outer points in a Poincare Disk, using the manual method explained in the last post (here). But repeating that compass and straightedge process is becoming a little useless after a couple of repeats. If you say “ok. I understood the concept,…

Previous studies on the timer component were based on understanding its use. This time, I tried to implement it in a geometric design task. Moreover, manipulating the timer component to change the regular animation of parameters. Time does not have to be equally divided into…