This is probably the most simple definition on this site but I think it’s very useful. The timer is a special component of Grasshopper that is significant in terms of the real-time sketching paradigm. This basic use of a timer includes a 1-second update to a Vb script. Inside the script, the system date’s seconds are returned, so we see a real-time increasing number at output A. Beyond this point, It’s up to your imagination, how you can use that…

The Truncated Icosahedron (5,6,6) is an Archimedean Solid we often recognize as the iconic soccer ball. This geometric structure, also affectionately known as the “Buckyball” in honor of the visionary architect Buckminster Fuller, has gained significant popularity and recognition both within the realms of mathematics and everyday life. It is composed of twelve regular pentagons and twenty regular hexagons. This symmetrical nature makes it an interesting object of study in geometry and various fields. This is a short Rhinoceros tutorial…

Here is an interesting six-year-old quote from Rivka Oxman, telling us about a potential class of designers. The particular character, type, class or whatever we call could be more sophisticated people than we imagine today. It tells me that, advances in design computing does make high-end techniques available for large communities, and re-define basics of architectural geometry for everyone in digital age, but always there seem to remain a small group of avant-garde. If Ms. Oxman is right, then the…

Truncated hexagonal tessellation (or named 3-12-12) is represented in hyperbolic space (as far as I understood it). The idea is simple if you don’t mix it with complex equations. Below is the 2-dimensional representation of hyperbolic projection. Paper space is defined by the thick line there. Projection is based on a two-sheet hyperboloid surface. Euclidean version of this tessellation is described here.

This is my second attempt on getting into non-euclidean representations of space. Althouth it seems easy at first sight, this represents a close point of theory between mathematics and contemporary computational design geometry. As always, architects tend to use mathematical terms such as “non-euclidean geometries” but as far as I saw, most of them have no idea about what it is. So, I’m trying to learn and understand this connection by experiencing small parts of it, sailing at the edges…

İstanbul Bilgi University Faculty of Architecture Basic Design II Spring 2012 undergraduate studio* group 6 includes both a geometric exploration and material research. They examined various formal alternatives, using wooden sticks and plastic tie-wrap connectors. After these experiments, they constructed a 1:1 material system spanning 4 meters in length and 2 meters in height, using 2.5km of wooden sticks and 18.000 tie wraps. This was an enormous effort to create such a spanning structure with small sticks. *Students: Aylin Özel,…

This is my first attempt at representing a non-euclidean space. There are several representations of a non-euclidean space in euclidean means such as Beltrami-Klein or Klein, Poincare, Poincare half-plane, and Weierstrass. Here, I tried to understand Poincare’s approach. Random straight lines are drawn on a hypothetical hyperbolic space using a simulation of Poincare’s famous disk representation. Although there is a precise description of the disk and its construction, I used a ready-made arc component of Grasshopper3d, showing start and end points along…

İstanbul Bilgi University Faculty of Architecture Basic Design II Spring 2012 undergraduate studio* group 8’s project is a metal surface construction. Group of first year design students were capable of designing, modeling, fabricating and assembling the structure with a good precision. After physical prototypes of the proposed spanning structure, they further experimented in rhinoceros and sent faces to plasma cutting and bending process. Finally, they assembled the faces with nails at the site. This was one of the good explorations…

Below is the final project of group 3 at İstanbul Bilgi University Faculty of Architecture Basic Design II Spring 2012 undergraduate studio*. First photo shows students’ efforts on generating  formal variations. They studied much on this folding components and attaching them together to create surfaces. Their final surface spans nearly 2.5 meters in height. Forex is used as main material and they nailed them from faces.  The different sizes, shapes and orientations of the faces somehow create stasis within gaps….

Using SPM Vector Components developed by two talented people, Daniel Hambleton and Chris Walsh (website here), I’ve studied ways of displaying dynamic diagrams of form. I’ve modified an example file and found myself in a surprising formal exploration. It’s like watching the clouds, giving them meaning like a sheep, a flower, a baby… This needs SPM tools to be installed first and includes a timer component. To run the simulation, double-click on the lower toggle (set it to false) and run the timer…