Posts categorized under Research

Force Fields

I’ve seen beautiful examples of similar compositions made using vector field components in Grasshopper. I just tried to make my own animate field lines to see how they float over force dynamics. In essence, these compositions could also be done using regular vector components but the field components make life much easier by merging different forces together rather quickly. Here is my Grasshopper definition (be careful it may slow the […]

Grasshopper | Vector Fields || field | vector
April 26, 2013

Binary Branching using Macro

Today’s design computing class was about fractals. In Rhino, writing macro statements are very easy to learn as it just mimics your behaviors in a sequential text. There are a few syntactic rules that we should know. First, you should watch the command line carefully to understand the steps of your design process. Each command in Rhino requires different inputs from the user. In macro, you may enter these values […]

Fractals | Rhino Macro || fractal | macro
April 15, 2013

Chinese Ice-ray Lattices Revisited

One of the cult texts in Shape Grammars theory is Stiny‘s Chinese Ice-ray Lattices Grammars. Although it is full of technical terms, it represents an analysis of a working algorithm. We can directly transfer that from the behavior of an artist. “One can imagine a Chinese artisan, summoned to a building site. He brings tools and implements and a collection of finely finished sticks. Then, he begins his design by […]

Publications | Shape Grammars || ice-ray | lattice | shape grammars
March 25, 2013

Truchet Tiling

This elegant and straightforward tiling geometry is credited to Dominican priest Sebastien Truchet in 1704 and was documented in a book titled “Memoir sur les Combinasions” (A Memoir on Combinations). After delving into the renowned Truchet Patterns in 2013, I revisited their three-dimensional tiling counterparts today. This served as a valuable exercise in geometry during my previous Design Geometry course. I believe it enhances one’s proficiency in mastering the technical […]

Grasshopper | Patterns | Rhino || tiling | truchet
March 13, 2013

N-Grid

This simple tool, N-Grid resembles John Hejduk and colleagues’ famous design exercise “The Nine-Square Grid”. I developed the tool in 2009 using MaxScript. The nine-square grid is one of the most common kit-of-parts exercises in design studios for over 50 years. To explain briefly, the nine-square grid exercise is based on transforming a nine-square grid into a series of alternatives. The nine-square grid is an open-ended educational application with a limited but flexible context. It […]

3DS Max Script | Publications | Shape Grammars || design education | design exercises | maxscript | ngrid
February 28, 2013

PatGen: Islamic Pattern Generator

It was the 2008, eCAADe Presentation at Antwerp together with Birgül Çolakoğlu and Serkan Uysal. This paper presents a student work developed in the Introduction to Computational Design graduate course titled “Designing the Design” at Yildiz Technical University. The course focuses on the use of algorithms as design tools, rather than coding experiments. The course runs parallel to the shape grammar course. There, we study the basic concepts of computation […]

3DS Max Script | Islamic Patterns | Publications || islamic pattern | maxscript | pattern | shape grammars
February 27, 2013

Sixty Square Sphere

This was a couple of weeks ago, together with my six-year-old son Mete, we decided to make a “ball” out of old memory cards. I was curious about a subdivision method, using only planar quadrilaterals to construct a sphere (named Sixty Square Sphere. There are a couple of models on www. Of course look much better than mine:=). However, my son was expecting a “ball” to play. Then, both of […]

Polyhedra || sphere | square | surface
February 21, 2013

Snub Square Surface

For the last 10 days, I’ve been searching for a proper algorithm for representing surfaces using planar shapes. It is obvious that triangulation is an answer but there is an interesting research topic of planar remeshing using shapes other than quads, hexagons, or any other regular polygons. Especially in computer graphics, such things refer to the optimization of models to decrease the load of GPUs. In the Grasshopper community, this […]

Grasshopper | Surface Constructions || planar | plane | snub | square | tessellation
February 20, 2013

Firefly and a Webcam

I finally installed Firefly, it immediately powers Grasshopper up with beautifully smart components, even if you don’t have Arduino it is still very useful. If you want to give it a try, first you have to install a small tool free from www.reactivision.com in order to send data to Firefly. After that, you may download and install firefly from their website, www.fireflyexperiments.com. It was the real-time inputs, my first interest. […]

Physical Prototyping | Tessellations || firefly | grid | parquet deformation | pattern
January 29, 2013

Minimal Parquet Deformations

Is it possible to model a two-way parquet deformation using only native components of Grasshopper? In this definition, I limited myself to 10 of them. Parquet deformations are a very interesting and pedagogical topic to teach some of the basics of contemporary parametric modeling. This post explains a minimal parquet deformations algorithm in Grasshopper. However, this has its own limitations. You will see that the definition generates the attractor graph […]

Grasshopper | Pattern Deformations || component | grid | parquet deformation
January 28, 2013

Breaststroke Surface Revisited

Previous studies on trigonometric surface equations showed me an interesting alternative. This is the modification of the breaststroke surface definition. This time, I’m trying to fix the equation and change input values in a fashion that the waves of the surface are not symmetrical. Here are a few experiments on it; (Size, 44.8, X=10, Y=5, animating X’s from 0 to 32) (Size: 42, X=7, Y=5, animating X’s from 0 to […]

Grasshopper | Parametric Surfaces || equation | surface
January 24, 2013

Baklava

In Turkish, there is a strange word “baklava” that has many uses. According to Wikipedia: Baklava is a rich, sweet pastry made of layers of filo pastry filled with chopped nuts and sweetened with syrup or honey. It is characteristic of the cuisines of the former Ottoman Empire and those of Central and Southwest Asia. However, we should add that 150 gr. of baklava is 413 calories. Here is it […]

Grasshopper | Tessellations || baklava | rhombus
January 23, 2013

Waterbomb Tessellation

It all started with my new passion for origami tessellations, not much of origami, but the tessellation part. I was too lazy to fold it physically, nor model them using an engine such as Kangaroo. That would also be very unnecessary (and yes, very boring) to simulate a folding effort on the computer unless we lose our connection with the real world. Instead, I tried to look at a much […]

Grasshopper | Tessellations || grid | hexagon | origami | tessellation | triangle
January 23, 2013

Parametric Brickwork

You might recall this type of parametric brickwork from architectural classics, such as the Programmed Wall by ETH Zurich and Gramazio Kohler Research, or the facade of the Mulberry House by SHoP Architects. Initially, I explored the simplest method for placing boxes on a surface, but this approach didn’t yield the correct layout. To improve it, I introduced gaps, which not only liberated the wall’s design but also opened up […]

Building Facade | Grasshopper | Parametric Surfaces | Patterns || brick
January 7, 2013

Inflating Grids

After playing with vector fields in 2d (here) it was quite easy to create a 3d surface deformation. Here is my first experiment on a regular triangular grid’s three-dimensional behavior within a vector space, that includes a point charge of varying z coordinates. That makes field lines escape to a bounding box, instead of a bounding rectangle. Again, you may play with force decay, the number of samples, and the […]

Grasshopper | Surface Constructions || attractor | field | grid | triangulation | vector
December 28, 2012

Vector Fields

Back to the basics. I finally had time to test the vector fields components in Grasshopper. It was a couple of updates ago, a new tool group emerged in the vector tab, introducing different types of vector fields to users. Then, these fields could be merged to form more complex effects. However, I created a very simple example of how we can use those components to distort a system (such […]

Grasshopper | Vector Fields || attractor | field | grid | hexagon | vector
December 28, 2012

Archimedean Spirals

In this exercise, Grasshopper draws various Archimedean spirals. It constructs polar points and maps them onto a range of angles and a number of points. The spiral’s turning speed is determined by the constant “a,” while the constant “n” gives unique names to the spirals by raising the angle variable to the power of 1/n. Wolfram Mathworld names the spiral with n = -2 as lituus, n = -1 as […]

Grasshopper | Parametric Curves || archimedean | hyperbolic | lituus | spiral
December 17, 2012

Back to Macro

Can we go back to the beginnings of algorithmic design tools, when it was still as simple as possible (not to the binary level of course)? Most of the theorists agree about the fact that contemporary parametric design tools sometimes provide needlessly many possibilities that suppress the designer’s own creativity. The Voronoi component in Grasshopper was one of the cult examples of that (mentioned here). Throughout this blog, I always […]

Parametric Surfaces | Rhino Macro || hyperboloid | macro | ruled surface
December 14, 2012

Variable Voronoi Study

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 […]

Computational Geometry | Grasshopper || tessellation | voronoi
November 30, 2012

Spherical Attraction

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 […]

Grasshopper | Surface Constructions || attractor | sphere
November 28, 2012

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