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268 posts

Poincarés Hyperbolic Disk

June 26, 2012

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…

Drops

June 22, 2012

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…

Solar Analysis including Occlusion

May 31, 2012

I’ve worked a little more about the Solar Position definition I’ve started here. The definition uses Danel da Rocha’s beautiful solar position script and utilizes it with other components. It creates visual output for any given surface, divided into quads (with side faces of course) and coloring according to their orientation to the sun. This time I added an occlusion part to calculate the surface’s own shadow. Now, the solar calculation takes surfaces as obstacles and dispatches the occluded faces…

Testing the Nesting

May 28, 2012

Here I am testing the nesting. RhinoNest is a plug-in for Rhino and a set of components for Grasshopper. I tested it using my old interlocking fabrication definition (here) and (here). I downloaded RhinoNest from this website and installed it. However, I sounded a little complicated at first sight. Then I found a sample definition (here) and modified it a little bit to meet my purposes. First of all, I added orientation components (grey group below) to align all sections to the WorldXY…

Icosahedron Study

May 27, 2012

I have come across several high school topics I was afraid of. While I was searching for a geodesic dome definition in Grasshopper, it was quite surprising that I found an easier way of modeling an approximation of icosahedron, the famous platonic solid. Icosahedron was a research topic of this website at various posts before (here, here, and here). In order to generate geodesic spheres, first I had to solve icosahedron. My first experiment was partially successful. I knew icosahedron’s…

Isovist Component

May 26, 2012

Yesterday, Kağan asked me about the isovist component in Grasshopper and how it works. In fact, it is a long story, I said because once upon a time, I was curious about Space Syntax theory as my old friend Ela Çil introduced it. So, here is an original definition of Michael Benedikt: “The environment is defined as a collection of visible actual surfaces in space. An isovist is the set of all points visible from a given vantage point in…

Semi-regular Tessellations

May 24, 2012

Creating and handling new types of grid configurations might be an important topic, as Grasshopper is not supporting them natively (yet). I tried to create some semi-regular tessellations based on regular grids. It is actually truncated versions of regular grids, but it slowly becomes interesting as I realized that I may further truncate emerging grids to create Level 2 and Level 3 grids with more complex tessellations. Here are two examples of Level 1, truncating regular tessellations of squares and…

MetaBalls in 3D

May 23, 2012

Playing with the 2D Metaball component in Grasshopper. I was curious about why there are no Metaballs in 3D in Grasshopper. Then, I realized that in fact, the 2D Metaball component is creating a section of a 3D Metaball computation. I think it is a topic worth studying even 10 years after this original post to develop an easy way to create the metaball surfaces. In 2012, thanks to the Grasshopper’s easy interface, I was able to create a series…

Excel Outputs in Grasshopper

May 22, 2012

Basic Design Studio at Bilgi University is coming to semester’s big final. Nowadays, students are trying to build their final projects. Oğuz and Gupse’s group has a truss structure with nearly 800 segments. They attempt to build it by taking length values from their own Rhino model by hand. And this itself had brought a difficulty, because one person of the group should be assigned only to do this measurement, reducing their workforce. They asked me if there is an…

Packing Objects with Galapagos

May 22, 2012

After the starting point of the Galapagos, there came another attempt to utilize this beautiful addition of David Rutten. This time, I worked over the night to tell it what I want. The aim was (or seemed to be) simple at first sight. I wanted several shapes (not one) to fit into an area, as smallest as possible, without overlaps. This is packing objects. A bounding box and area components quickly gave me the first fitness value. The area of the…

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