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Algorithms

263 posts

Lokma

December 30, 2013

Lokma is the name of a pastry made of fried dough soaked in sugar syrup or honey and cinnamon, typically shaped into a ring or ball. Unfortunately, it is not the “Lokma” we’ll study here. In Turkish, there is another meaning of the same word related to the history of Eastern architecture. It is the name of metal connectors in railings, mostly inside of the openings of garden walls and old Mosque complexes. We often call this system “Lokma Railing”…

Headbanging Points

December 20, 2013

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…

Bend

December 16, 2013

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…

Mirror by Curve

November 21, 2013

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.

Dürer Rhombii

November 19, 2013

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…

A Tip About Using Pipe Component

November 18, 2013

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…

Force Fields Revisited

November 2, 2013

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…

Karyokinesis

November 2, 2013

While searching for a way to work with random points and growing populations, this idea appeared accidentally. I wasn’t trying to mimic the behavior of Karyokinesis of biological cells (in fact I’m in serious doubt about biomimicry in general). The trick is to use a timer + data recorder + a knob for the arbitrary user input. It starts to breed when you start the timer, but to change the evolution speed, just roll the knob!  Of course, the knob…

Image Processing Basics

November 1, 2013

This was the initial example of image processing in our Parametric Modeling class. Hand-drawn and digital diagrams can also be digitized and used in order to describe certain parameters for design formation. Such algorithms would similarly use the Image Sampler Component of Grasshopper. In the algorithm below, image data is used to capture black pixels as attractors of a Voronoi subdivision. A regular point grid is dispatched according to Brightness values so that the points that lie on the lines of…

Spiral of Random

October 21, 2013

Grasshopper still surprises me. This definition draws a spiral by using a random component. It is obvious that the seed value of the random component has a relationship with an archimedean or a similar spiral. My intention was to create a definition to put a number of random points inside a circular area, not a rectangular one. While I grow the radius of a circle and get a t parameter evaluation from a random component using the same seed value…

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