#grasshopper

I would like to share my Polyhedra library, which I have used in many projects. Initially, I wanted to build this code based on the geometric constructions of polyhedra. However, because I urgently needed it for projects I was working on at the time, I took a simpler route and hardcoded the vertex coordinates directly inside. Yes, that wasn’t quite in the spirit of designcoding, which is why I called it a “library” rather than a “Polyhedra Generator.” Currently, the…

Informal use of Voronoi diagrams can be traced back to Descartes in 1644 Peter Gustav Lejeune Dirichlet used two-dimensional and three-dimensional Voronoi diagrams in his study of quadratic forms in 1850. British physician John Snow used a Voronoi-like diagram in 1854 to illustrate how the majority of people who died in the Broad Street cholera outbreak lived closer to the infected Broad Street pump than to any other water pump. Voronoi diagrams are named after Georgy Feodosievych Voronoy who defined…

I had previously shared a few pattern animations (here, here, and here) from 2023 that felt a bit unsettling. Here, I am presenting the last four remaining in the archive of Grasshopper 1.0. To me, they feel a bit eerie, and I don’t even know why I made them this way. But I am sharing them anyway, thinking that maybe they could be useful to someone for a completely different, cheerful purpose. It is possible, but difficult, to create these…

Since I still haven’t been able to upgrade to Windows 11, I am continuing with Rhino 8 and Grasshopper 1. But I think, hopefully, I’ll be able to sort it out soon. In the meantime, I’ll be publishing the last pieces of my remaining archive related to GH 1. Regarding interlocking (waffle) systems, I finally learned how to use the Region Slits component in GH 1, which I had never been able to use until now. I’ve been doing various…

The Butterfly Curve is a special planar curve consisting of elegant functions, first described in 1989 by the American mathematician Temple H. Fay in Mathematics Magazine. Its polar-coordinate form is commonly used, though it can also be defined by two parametric functions in Cartesian coordinates. In Praise of Useless Things The Butterfly Curve has no functional role or practical application in modern technology or theory (it is frequently confused with the Lorenz Attractor, to which it is totally unrelated). It…

Revisiting a specific mathematical phenomenon that I previously explored twice, here (in 2017) and here (in 2011), from a different angle in 2026 now. This was the final video (from 2023) that I found in my junk folder during the blog’s resurrection. Today, designers mostly know Fermat through the famous 137.5-degree angle of rotation, which is the mathematical formula used to describe the arrangement of sunflower seeds. However, today I will speculate on a nightmare of Fermat’s. Because Fermat, in…

I want to introduce a concept I came across the other day, one I had never heard of before, along with a few fantastic websites. The Campanus Sphere is essentially a rather crude spherical representation, the kind I’m used to seeing in (very old) computer games, and it also makes a nice nod to 80s disco culture. I also recall that in many older CAD software packages, spheres and sphere-related Mesh objects were represented as polyhedra using this method. However,…

While digging through my trash archives, I found this video from three years ago. Instead of exploring things with Grasshopper, I jumped into a bit of naive digital art. The Fibonacci Sphere algorithm was very popular in those days. I used the SubD components, which were new at the time. It was around the same period as the one right over there. I tried to make something scary again, but to be honest, there is also quite a depressive mood…

Ever since I restructured designcoding, I’m still sorting through the trash folder. All 580 posts published on the blog have been reviewed, and their files have been uploaded as open source. The mysterious trash folder, where I couldn’t even tell where things belonged, is shrinking fast. While checking this folder yesterday, I found a video. This is probably a simple tutorial I prepared about 10 years ago for the parametric modeling elective course (probably related to this 2012 post). The…

Have you ever thought about making a damped pendulum in Grasshopper? I have no idea why, but I did. I just decided to transfer a Python snippet I found online into a Grasshopper definition. Here, the Initial Angle (Radians) Number slider sets the initial angle to any value from 0 to Pi. The letter G represents the acceleration due to gravity (approximately 9.81 m/s2). This is the primary force pulling the pendulum downward. As you know, pendulums wouldn’t swing without…