Exercising the “folding” process of a nine-faced solid. Start from its net, and analyze the matching edges. Then, use sphere intersections to calculate the rotation angles. Visit here for more information about this solid: http://aperiodical.com/2013/10/an-enneahedron-for-herschel/
Posts categorized under Research
This python code proves how much effort it takes to create a simple hexagonal tessellation. There are, of course, much easier and faster methods than this. But here you see a code that introduces students to Rhino Python. Using this code, a new Rhino command can be generated, and for the first time in Rhino, we can have a command that creates a hexagonal grid. I followed this tutorial to […]
This is a classical method of generating tree-like forms utilizing a simple command “Arc SED”. The idea is simple, as the command draws arcs using an input direction vector, so this could easily be implemented creating a “smooth” composition of curves just by iteration. Actually, this has been a previous study, discussed before here, using Hoopsnake. Now, this time I’m implementing the same algorithm using Anemone and a couple of other […]
Utilizing “Force Field” components of Grasshopper to show my students how it is easy to develop flexible surfaces in design. The classical parametric canopy design is introduced in this video: According to Wikipedia; In vector calculus, a vector field is an assignment of a vector to each point in a subset of space.[1] A vector field in the plane, for instance, can be visualized as a collection of arrows with […]
The A-Chord folding structure was developed and constructed for the World Wood Day 2015 event in İstanbul. The structure had fifty wooden struts of 4 cm X 4cm with changing heights from 200 cm to 230 cm. Two struts joined with a hinge enabled the folding motion of the structure. Thus, the nearby unit is folding in the opposite direction. The Grasshopper model generated all construction details and drawings automatically. As a result, […]
Based on this post, the problem of modeling tree-like fractal shapes is still a good question for the early years of computational design education. Last time, I used Rhino’s macro to study these fractal trees in an “impossibly” limited interface. But this time I used a VB.net script. Here is the code inside of the VB.net component: Here are the inputs. x is the number of iterations. The Crv input is […]
Further studying iteration in Grasshopper, this time, inspired by George Stiny’s “Chinese Ice-Ray Lattice” subdivisions with Aneome, instead of the Hoopsnake add-on I tried in the previous work. As you know, loops add various ways of usage to Grasshopper. In future versions, loops may cease to be just an add-on and become native components of Grasshopper. Until then, loop plugins like Anemone take on this task. In the example here, […]
This is a useful tip both to solve some of the problems with custom surface subdivisions, and to explain the uses of parametric surface evaluations (the U, V, W thing) and the practical use of data lists. Step 1: Put your points inside 0,0,0 and 1,1,0 so that the resulting coordinates can easily be converted to U and Vs. In the example, we are putting some random points between 0,0 and […]
Finally, I had a chance to test and understand the force fields tab in Grasshopper. It creates a continuous vector field inside of a given boundary. Therefore, it is very useful if you want to create an effect of the continuous presence of a force, such as gravity. The Wikipedia definition of a vector field is very basic and understandable: In vector calculus and physics, a vector field is an assignment of a vector to each point […]
This quick project was about a special tiling pattern inside a multi-story residential building’s hallways in Grasshopper. While drawing the construction documents of the project, it was necessary to apply some coding here, as each floor had a different shape to be tiled. Although it is not a real Herringbone tiling, I named it because I couldn’t find a better name yet. First, I’ve imported the geometric boundaries and the “middle curves” […]
Euclidean constructions, when represented computationally, rely on algorithms and mathematical principles to generate geometric shapes and forms. Through precise calculations and logical operations, a computer program can emulate the actions of a compass and straightedge, constructing lines, circles, and polygons with accuracy and efficiency. These digital incarnations of Euclid’s timeless techniques enable the exploration of geometric concepts and the creation of visually captivating representations. This project is interesting because of […]
This is the final Grasshopper sketch of our graduate studio conducted together with Fulya Akipek at Yıldız Technical University Computational Design Unit. The project was about designing parametric “Landscape Extensions” at Kabataş Park. I hope I’ll be able to post the actual student works and the material system, but now; only the final result of the digital sketch we’ve developed together with students is presented here. This was a kind […]
This year’s first semester at Basic Design Studio was full of surprises. Together with Can Sucuoğlu and Birgül Çolakoğlu, we coordinated 9 student groups in their 4-week final project called “Arboriforms“. “Arbori-” is derived from the Latin word “arbor,” meaning “tree,” and “-form” indicates a shape or form. Therefore, we can understand “arboriform” as an adjective describing something that is tree-like in appearance, structure, or form. For example, one might […]
Again, we revisited the seamless patterns exercise this semester. This is one of the main exercises of architectural geometry class. We expected to improve students reasoning on generative patterning while they explain their processes step by step. The key element of this exercise is the usage of compass and ruler constructions. However, we didn’t keep this rule limiting their creativity too much. In this activity, we tasked students with developing a personalized […]
This is the Grasshopper definition that generates a tetrahedral helix (also called as Boerdijk-Coxeter helix) but in a funny way. This geometry is also a solution for tangent spheres. I generated the helix using Anemone components for recursion and gave it a little bit of responsiveness. I don’t know if it depends on the speed of your CPU but if it is slow enough, you’ll see the snake game of tetrahedral […]
This is one of the works of the three-day workshop at Eskişehir Anadolu University, called “Animate Patterning“. This project is based on our previous folding experiment posted here, while students advanced it, testing a folding style called “Miura”. They built a 2.5m x 1m folding pattern, explained briefly here. After analyzing, and testing the folding technique, they drew the tessellation composed of a single parallelogram. They joined the structure together with hinges and […]
Inspired by this cut-fold pattern, we developed a prototype with Fulya Akipek. The first experiments were made from 3mm thick foamboards and they worked very well with 50×70 plates. However, when the project gets bigger and bigger, we needed to add a joint detail and use 5mm thick foamboards to achieve our goal (that is to develop a 1m by 2.5m shutter system). Then, we tried to animate its folding behavior by […]
This is one of the ideas we’ve tested for the workshop “Animate Patterning“. Inspired by this work, Apart from the pattern that turns around, the torque, rotation radius and speed of the servo, weight, connection detail, and a number of foamboards become important inputs for this design. In the three-day workshop, one group of students interpreted this idea of using several moving layers and creating an emergent pattern at the […]
This is a Cycloid-like family of curves, generated by its classical description: a rolling circle. I had several other studies on similar topics before. In this cycloid experiment, I used Grasshopper in which, we don’t need to roll the circle. Instead, we can divide a parametric curve, utilizing data lists to simply rotate a circle around it. Finally, evaluating the circle repeatedly creates a Cycloid-like result. I found this as […]
While testing Anemone components for Grasshopper, I accidentally generated these branches by looping. In fact, I was trying to develop the definition that mimics the well-known “Arch SED” component method. This method uses the tangent vectors for the endpoints of the arcs. Then, it iterates the process in a random fashion so that the branches (arcs) join nicely. Anyway, this definition develops new branches from a previous one. It does […]