Author Archive

On the Digital ReConstruction of Muqarnas

Together with Sevde Dinçer, we published a new study on the digital reconstruction of muqarnas. This is also Sevde’s ongoing Ph.D. topic. Previously, she started studying muqarnas geometry in her master thesis under the supervision of Togan Tong. Then, she advanced her studies in this field. Eventually, my contribution to this study was about redefining and comparing the three major modeling approaches. Apart from that, the case study, literature research, […]

Muqarnas || parametric modeling | seljuk muqarnas
August 23, 2021

Vector Arithmetics in Rhino Python

Today, I am going to advance the Vector class a bit more. Firstly, I will improve the display method I introduced recently. Then, I will add two new methods which handle the fundamental vector arithmetics in Rhino Python. Improving the Display Method In the previous attempt, I displayed vectors on the origin of the Rhino viewport. The coordinates of the tail of a vector are not stored within the object […]

Design Mathematics | Linear Algebra | Rhino Python || vector addition | vector multiplication
August 20, 2021

Display Method for Vector Class

Let’s continue from the Vector class that started yesterday. Previously, I defined this class to store three numbers (coordinates), named as “components”. I defined a method named __init__ for this. Similarly, I am adding a display method to the Vector class today. Note that I am using Rhino 6 in this code, but it should also work in Rhino 5 or 7. The code Below is the line-by-line explanation of […]

Design Mathematics | Linear Algebra | Rhino Python || object classes | vector
August 17, 2021

Vector Class in Rhino Python

In this new series, I will be using Rhino Python to create some of the fundamental mathematical objects in Rhino. We will learn how to code in Python, and also try to get deeper into the intuition behind some of the fundamental concepts we use every day in Rhino and Grasshopper. The Vector class in Rhino Python is the starting point of this journey. Just like vectors, most of the […]

Design Mathematics | Linear Algebra | Rhino Python || object classes | vector
August 16, 2021

Inverse Kinematics in Rhino Python

This is a simple inverse kinematics solution developed by Andreas Aristidou and Joan Lasenby in 2011. They call it Forwards and Backwards Reaching Inverse Kinematics (FABRIK in short). It was quite interesting the learn this technique because it is a fast and accurate approximation of a kinematic chain. There are very interesting potentials of this technique in terms of architectural simulations. I tried to develop a Rhino Python script in […]

Research | Rhino Python || fabrik | inverse kinematics
May 22, 2019

Design Mathematics Student Works

Below are some of the student works from the 2018 course: Design Mathematics. The final project of the course was about experimenting the designerly creativity. This included utilizing the mathematical concepts and objects studied throughout the semester. This was a rather open-ended homework question. But in the following years, I am not planning to repeat it. Because it becomes difficult to assess the learning outcome from open-ended homework within such […]

Design Mathematics || design education | parametric surface | student works
May 22, 2019

The Golden Ratio in Grasshopper

I like to deal with possible small computational geometry problems. These fun games are taking 2-3 hours. In addition, these are also memorable exercises. I was reviewing the Anemone plugin last week. I noticed that the Golden Ratio in Grasshopper was not geometrically generated before. Some of the greatest mathematical minds of all ages, from Pythagoras and Euclid in ancient Greece, through the medieval Italian mathematician Leonardo of Pisa and the Renaissance astronomer Johannes Kepler, to present-day scientific […]

Grasshopper | Research || golden ratio | loop
April 12, 2019

Design Mathematics Student Work: Enneper Slide

In Design Mathematics 2019 course, Berke Çelik designed the Enneper Slide in his final project. The Enneper surface is an interesting case since it is a minimal surface with potential variations for spatial implementations. Berke used Rhino Math and Grasshopper / Weaverbird to generate his design. I think the Enneper Slide, as a minimal surface, is an exciting start for a Design Mathematics student work. But as always, much more […]

Design Mathematics || enneper surface | minimal surface | student works
March 28, 2019

Design Mathematics Student Work: Pi Chapel

Today, I am introducing a student work from the Design Mathematics course. Foad Sarsangi is a very talented designer, who attended my elective course last semester. The final project he studied was inspired by Peter Zumthor’s Bruder Klaus chapel. Foad wanted to experience its special production process. However, as the course was about “mathematics”, he also studied, solved, and generated an interior volume to be subtracted from a solid mass. […]

Design Mathematics || contouring | parametric design | student works | zumthor
March 27, 2019

Basic Design Lanterns Project: 2019

This is a student project of the Computation-based Basic Design Lanterns finals of the year 2019. This year was exceptionally successful in creating 3d components and constructing relationships as a systematic whole. Again, the students started with small-scale experiments on folding and attaching cards. This is a study of how planar elements can generate volumetric units. They also studied Archimedean solids to understand geometric performances of particular shapes. We encouraged […]

Basic Design || basic design | material | structure
March 22, 2019

Robotic Fabrication Student Project: Micro-Wave

This is a robotic fabrication student project developed in the Digital Fabrication elective course in 2018. This group of students experimented with the hot wire cutting of EPS foam. Their aim was to create curved surfaces by using a straight wire. Design research started with a literature study of precedents. Then, after several cutting experiments with the available hotwire cutter tool, they gained better control over the technology. However, they […]

Digital Fabrication | Robotic Fabrication || design education | hotwire cutter | parametric wall | robot
March 21, 2019

Robotic Fabrication Project KUKABAE

I will try to explain the student project called KUKABAE that was developed in my Robotic Fabrication elective course in 2018. This was a very interesting project. Initially, the students were doing the design to attach an ordinary pen holder to the robot. but then the project changed by chance. they decided to replace a pen holder with a ceramic knife. As seen in the video and pictures, the relationship […]

Digital Fabrication | Robotic Fabrication || ceramic | design education | pattern | robot
March 6, 2019

Design Exercise of Dataflow Diagrams

Here is a design exercise I’ve been giving to students. It aims to familiarize students with the concept of dataflow diagrams used in Grasshopper. Dataflow is a different concept than conventional computer programming. Here is a good comparison between control flow and dataflow languages. In most educational settings (such as courses and workshops) we concentrate on the fundamental issue of dataflow management via design projects. This requires us to think […]

Grasshopper | Parametric Modeling | Workshops || dataflow diagram | design education | Grasshopper
January 24, 2019

Gaussian Curvature and Surface Paneling

As the design of free-form architectural surfaces becomes easier, questioning and foreseeing the feasibility of the construction of these surfaces becomes important. Such an inquiry requires sufficient knowledge of architectural geometry besides the knowledge of materials and structural systems. In this article, we present a preliminary example of a guide. It supports the design and production process of building surfaces with different geometric properties is presented. This guide aims to […]

Computational Geometry | Curves | Paneling | Publications | Surface Constructions || gaussian curvature
January 24, 2019

Robotic Hotwire Cutting Polyhedra

Today, we have studied creating complex robot programs manually again. Platonic solids were the subject of this study. Students tried to create a sequence of robot moves that produces a Platonic solid out of a 17cm EPS cube. We simply call this the robotic hotwire cutting polyhedra exercise. However, the size of our hotwire cutter became one of the problems because of its risk of crashing. We crashed several times […]

Digital Fabrication | Robotic Fabrication || hotwire cutter | platonic solid | polyhedra | robot
December 20, 2018

Robotic Earthcrafts Student Project: “ZOM”

This project is developed in the summer workshop titled Robotic Earthcrafts conducted at İstanbul Bilgi University Architectural Design graduate program. Students call this project “ZOM”. Students are Murat Sökün, Zeynep Çakmak, and Özlem Güven. We organized the workshop together with Fulya Akipek and Hülya Oral. You can find more details about the workshop here. In this project, a simple robot code created the EPS molds of the rammed-earth module. Below […]

Digital Fabrication | Rammed Earth Structures | Robotic Fabrication | Workshops || hotwire cutter | minimal surface | rammed earth | robot | robotic arm
November 6, 2018

Robotic Chopstick Digger Exercise

Today, we tried to understand one of the ways of generating multiple planes in Grasshopper. This is an important step in utilizing the robot program efficiently. Instead of manually jogging the robot, we designed the path that the robot will dig lots of chopsticks. In the “Robotic Chopstick Digger Exercise”, every student designed their own paths and decided the height, orientation, and number of sticks to be dug on an […]

Digital Fabrication | Robotic Fabrication || chopsticks | design education | robot
November 5, 2018

Spatial Recognition Test

In the Digital Fabrication course, I needed to explain the plane orientation and rotation angles. This is why I prepared this Spatial Recognition Test. This is an important topic regarding the matching of the TCP (tool center point) plane of the robot and the plane(s) designers generate. In Rhino, we define a construction plane by red (X), green (Y), and blue (Z) colors. The relative positions among those axes are […]

Digital Fabrication || design education | plane
November 3, 2018

Growing an Architectural System

This paper covers ongoing research titled “Growing an Architectural System”. It is an interdisciplinary work relating permaculture studies with computational design and production technologies. It includes testing some issues of performance via full-scale prototypes. Growing Pots is the first study we will mention in the paper. It is about the design of a micro-permaculture system and 3d printed products realized by students of an elective course. On the other hand, […]

3D Printing | Publications || 3d printing | permaculture | prototypes
November 3, 2018

Robotic Chopstick Digger

Today in the Digital Fabrication course, we examined digital-physical translations utilizing the robots add-on for Grasshopper. Students learn how to get coordinate data from a physical environment, use it in the digital model and apply it to a robot motion. We aimed to dig chopsticks into an EPS block by using a special wooden tool called “Chopstick Digger”. In the first hour of the class, we attached the “pointer” tool, […]

Digital Fabrication | Robotic Fabrication || design education | Grasshopper | kuka | rhino | robot
October 29, 2018

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