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 developed a Grasshopper implementation in 2012. Also, this was my first study on complex numbers. At each iteration, the detail level increases. I utilized a common brute-force approach, distributing a grid of points, converting them…

Studying circle packing led me back to my high school days. First, I’ve tried to write a vb.net component so that I would say Grasshopper to place circles and check lots of things iterating again and again. Then I felt that this was not my real interest in circle packing. After finding an old post by Daniel Piker,  I’m truly enlightened about an old topic of our high school education: The complex numbers! Then I found this link, explaining the…

When I was younger, among the branches of philosophy, I had studied a little logic and, among the subjects of mathematics, geometrical analysis and algebra, three arts or sciences which looked as if they ought to contribute something to my project. But in looking at them, I took care, because, so far as logic is concerned, its syllogisms and most of its other instructions serve to explain to others what one already knows or even, as in the art of…

Since last week, I’m very curious about circle packing. There are a couple of complete solutions on the internet. I’m still in the early steps of such a solution yet. A full circle packing means that it does not include any gaps and each circle is tangent to all possible neighbors. Sounds easy in Grasshopper but I couldn’t see any solution yet. There are some circle-packing attempts but they have gaps. Also, I don’t want to use an evolutionary solver…

Yes, Revit revolutionizes the design process if you get used to it’s interface; but there are lots of things that could be further developed. Representational qualities, for example seems to be an important issue. I use section-perspectives a lot but still there are anti-aliasing problems when you get to the printing process. The last project I developed bottom-up in Revit and printed the posters from it, without any photoshop. This led me to think about it’s representational capabilities. I wanted…

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 of space on a two-dimensional plane. Then, I linked a regular hexagonal grid and rebuilt it after the hyperbolic distortion. This led me to find the below hexagonal grid. Therefore, it looks like a suitable…

Which keywords are the most popular, regarding contemporary architectural geometry? Above is the wordle.net analysis result for all 155k words of the famous book “Architectural Geometry” by H. Pottmann, A. Asperl, M. Hofer, and A. Kilian. Not many surprises though, this may be a starting point for research on today’s understanding of geometry in architectural design. You can click on the image to see the top 500 words mentioned in the book. It may be used to construct a conception…

This is a detailed wooden casement window, created for a restoration project last year by Tuşpa Architecture. Revit is used in creating the survey and restitution projects. This component is partially parametric, you can define width and height values. It took about three days to complete the component, way much more than just drawing it in Autocad, but it was very educational for me. I have uploaded this and my other Revit objects to revitcity.com: here

I’ve been working on a multi-function building for a design contest. This led me to the custom component designs also. Here is a quick column object with several parameters. This was an interestingly easy and quick process of creating a parametric component in Revit. It is somehow similar to Grasshopper3D, with just single revolve command, connected to the variables. However, Grasshopper does not specialize in architectural design. The connection between these two environments offers great potential. Grasshopper has a custom…

Here is the preface of the famous book “Architectural Geometry”. It simply encourages me to learn new things every day even sometimes it seems to become impossible. Geometry lies at the core of the architectural design process. It is omnipresent, from the initial form-finding stages to the actual construction. Modern constructive geometry provides a variety of tools for the efficient design, analysis, and manufacture of complex shapes. This results in new challenges for architecture. However, the architectural application also poses…