Here is a phrase from Deleuze’s famous article “Difference and Repetition”. It clarifies my mind while thinking about patterns, boundaries, rules, and most importantly, the idea and techniques of deformation in contemporary architectural geometry. … On the other hand, generality belongs to the order of laws. However, law determines only the resemblance of the subjects ruled by it, along with their equivalence to terms which it designates. Far from grounding repetition, law shows, rather, how repetition would remain impossible for…

This year’s “Lanterns” assignment was nothing short of spectacular. It left both the students and faculty in awe of the creative brilliance displayed. Despite facing constraints in terms of time and experience, the Basic Design students surpassed all expectations. They crafted mesmerizing compositions of polyhedra and intricate unrolled surfaces. Their ability to conceptualize and execute such remarkable lantern designs can be attributed to the valuable skills they honed in their Architectural Geometry courses. Throughout the studio sessions, we introduced a…

In this fun experiment, points rock and roll! It should be based on a sound input of course but this is only a test to see if I can handle a timer and graph input at the same time. I’ll modify this definition to actuate with sound.  The use of the timer component gives a certain degree of randomness to the overall formation. To run this definition we need a VB script to update a certain value. The code inside of…

Bending is an easy operation in Rhino and Rhinoscript, however, Grasshopper did not include that particular transformation (along with cage editing) yet. I tried to simulate the bending transformation by using native Grasshopper components. First, surface projections and pulls did not work at all, because I wanted to simulate a real bending effect without changing the surface area or edge lengths. Then, the Surface Morph component seemed to handle this issue, but it became an interesting challenge to put the…

Basic Design I exercise called “Cut and Fold: Deviation” explores diversity within relationships and material behavior. It is initially introduced by Salih Küçüktuna as a simple but effective exercise platform. Below are some students’ works on this one-week exercise. The term “deviation” has many uses in a range of fields from medicine to sociology. However, it is frequently used in statistics with an interesting evocation to design computing: In mathematics and statistics, deviation is a measure of difference between the…

In today’s drawing class, we taught methods of drawing basic transformations by hand. Mirror was one interesting subject of that. However, then I opened Grasshopper and Rhino to test the effects of curved mirror planes. Unfortunately, I realized that there is already a curved mirror component in Grasshopper :( This might be one of the simplest ways of introducing generative deformations for design geometry.

I’ve come across this nice website about the short history of tilings and tessellations. In this post, I am regenerating a tiling of Dürer rhombii. Albrecht Dürer sounds like one of the pioneers of some of the concepts of today’s emerging field of architectural geometry. Here is a phrase from that website about Dürer; “…Like Kepler, regular polygons and polyhedra fascinated Dürer… A large section of the Painter’s Manual is dedicated to practical ways to construct various curves and regular polygons with…

While looking at the student works of my 2009 class, I realized that in some cases, the “pipe” component takes a considerable amount of time to execute even on fast computers. Students mostly create pipes to model structural frame systems such as canopies and facade frames. Therefore, the path of the pipe is usually linear (not curved). I decided to calculate the performances of three approaches that could be used to make pipes in Grasshopper. One was the good old…

Below is some student works from this year’s Architectural Geometry / Pattern Deformations assignment. Students developed their own pattern deformation sequences mostly on regular tessellations. Based on the classical Parquet Deformation exercise, we tried to implement a rule-based approach in order to explore emergent patterns. The exercise seems to reveal endless improvisation potential. The exercise requires students to design a pattern deformation on a 28cm by 28cm area. It should include at least 100 cells. First, we explained several classical…

Force fields might be one of the most influential component sets of Grasshopper. Thus it also becomes a de-facto standard design approach like the Voronoi subdivision. There are beautiful examples of this mathematical solution. Here is a good explanation of mathematics underneath, and here are my previous studies. I tried to use the Grasshopper’s force field components and see how it looks like when animated. Thus, multiple spin forces are merged together in this definition. Therefore, the overall effect of field…