Algorithms

This is the last of the site analysis tools we previously used in first-year architecture education. As you may recall, we previously introduced a tool that generates topographies based on specific parameters. Afterward, we examined two tools that perform slope and flow analyses on these topographies. Today, we are presenting a tool that analyzes curvature. This topic actually constitutes one of the interesting intersection points between architectural design and differential geometry. Curvature is not something architects normally observe directly on…

This project randomly stole an entire evening of mine. I didn’t know what the cantellation operation was. After doing some research, I realized it mirrors the process of the dual operation we had previously performed with polyhedra. It turns out to be the process of turning edges into new faces. I started looking for ways to do this in Grasshopper without using ready-made add-ons that include this and similar operations. As always, I had to solve many interesting geometry and…

I’d like to write down an interesting problem here. I remembered this while thinking about this post. It represents one of my favorite, simple pieces of reasoning. I frequently find myself needing to sort a number of points around a center in Grasshopper. Don’t ask why. I realized I’ve been using three different methods to achieve this. The first one that comes to mind is using the Vector Angle component, naturally. All we have to do is supply a plane…

We previously looked at the terrain generator script we used in projects with first-year architecture students over here. Later on, we added a few analysis modules to this tool. You might remember the slope analysis tool from this link. Today’s topic is another type of analysis: flow. The idea for this code wasn’t actually mine; I developed it by looking at an existing script based on Serkan Uysal’s suggestion. Unfortunately, I don’t know who originally wrote it. Keeping track of…

You are seeing the last of the interlocking system trials that I have previously tested in two exercises. If you remember, in our first trial, we were drawing interlocking joinery details on cross-sections using closed curves, without any solid modeling. And here is the most advanced one, I guess. In this exercise, however, we are creating a solid model that incorporates these interlocking details. This time, we will look at how to construct the same system using Boolean operations. Boolean…

I previously shared the Grasshopper definition for terrain generation that we used in last year’s Basic Design studio. One of the goals of this project was to take the first step toward developing students’ skills in understanding, processing, and utilizing terrain data as a design input. To support this objective, we provided them with small supplementary tools. One of these tools was the slope map. As you can see, this is quite a simple Grasshopper definition. It computes the slope…

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When thinking about serious and specific topics, I suddenly find myself looking back at the basics again. Catenary curves, are not the most beautiful one among those mathematical forms found in nature. However, it still tells us a lot about structures. The name apparently comes from catenaria, the Latin word for “chain”. This Grasshopper code was actually an example from our book 10 years ago (link here). It seems catenary curves could potentially be used in a type of dome…

Last year, for the midterm assignment in our first-year basic design studio, we gave our students a range of different, randomly generated contexts to work with. For this purpose, I developed a small Grasshopper tool that makes the graph of a function look as much like a terrain model as possible. This tool is not really a procedural terrain generator. I would genuinely like to build one, someday. What we have here is simply a function surface. At the inputs,…

While digging through my archives, I found an old animation I made in 2023. Back then, I was generating patterns with Parakeet. Thanks to this talented add-on, I managed to create a nice pattern by dressing a different component onto a Snub Square tiling base. However, for some reason, things started turning into a horror movie after that. MultiPipe was popular back then. So, I converted this pattern into surfaces using MultiPipe and attempted an animation using Rhino’s rendered viewport…