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 is the metaphor of inflating balloons. However, I inflated cones instead of spheres. This way, it became possible to modify the algorithm. So I was […]

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; There is a subdivided sphere and an attractor sphere. The pull component works great here. You may use multiple attractor solids or different shapes such […]

In this exercise, we asked students to develop a method to produce custom tessellations. This is based on the analysis of what is called “Islamic patterns”. We have discussed Eric Brough‘s famous book “Islamic Geometric Patterns”, regarding geometric relationships and linear connectivities via underlying tessellations (such as regular square and hexagonal). Thus, this geometry and drawing exercise is called “Seamless Patterns” in the Design Geometry course at İstanbul Bilgi University. […]

The first-year Architectural Geometry course includes Euclidean constructions as a study of associative geometry. We have exercised the below questions to study this topic. These are three mutually tangent circles, that can be drawn using only a compass and ruler, without built-in tangency functions in Rhino. Such exercises are expected to improve students’ reasoning. We believe architectural geometry education should encourage a conception that allows students to think about what […]

This is my first try at DesignScript syntax. It is quite easy to understand and on-screen reference help seems to work well. It creates regular AutoCAD entities when you run. One of the most important concepts of this language is said to be a kind of associativity that updates objects when any parameter is changed while the script is running. However such associativity is not possible after the script has […]

Last week, the first-year architectural geometry course was about pattern deformations. Students are expected to familiarize themselves with 2d drawing, transformation, and control point editing commands while trying to design a deformation. After studying regular and semi-regular tessellations of the plane, they are expected to develop reasoning on the rule-based and iterative processes. This also constructed an underpinning for Basic Design‘s “Metamorphosis” study, where they have discussed more conceptual frameworks […]