Posts categorized under Research

Evolution Door: Folding Experiments (2)

Here is the Grasshopper implementation of the famous Evolution Door design by Klemens Torggler. The code I used here is from my course on Parametric Modeling. This Grasshopper algorithm is a good exercise for the basics of Kangaroo. I attached several goal objects to a special mesh object created in Rhinoceros. Kangaroo’s goal objects work as expected to simulate the folding door behavior. I used the goal objects to fix […]

Folding Structures | Grasshopper | Parametric Modeling || evolution door | folding | kangaroo | parametric object
December 25, 2022

Virtual Design Studio

The Istanbul Bilgi University Scientific Research Project, titled “Exploring the Possibilities of Using Game Engine-Based Collaborative Virtual Environments in Architectural Design Studios”, or “Virtual Design Studio” in short, is about testing a virtual environment for online and blended models of education in architectural design studios. The presentation tools used in the architectural studios are directly effective in determining the boundaries of design thinking. Today, there is no specialized tool for […]

Unity | Virtual Reality || design education | design studio | game engine | unity | virtual reality
December 10, 2022

Folding Experiments: Basics (1)

We will try to create collapsible structures in this new series called Folding Experiments. In this example, we will be using Grasshopper and Kangaroo components to understand the Folding Experiments: Basics first. Like other projects, this is a Parametric Modeling course exercise that usually includes primary Grasshopper usage. In our first example, we will try to fold a mesh object. To be able to fold a surface like origami, we […]

Folding Structures | Grasshopper | Parametric Modeling || design education | folding | kangaroo | mesh
December 6, 2022

Map Cleaner Script

The dwg format maps in Turkey are often problematic. You need to clean these for architectural studios. Maps mostly contain height information of buildings. But the contours of the buildings are distorted and polylines are generally exploded. The map of the region where we worked in the studio I conducted in the Fall 2021 term was also problematic. I created a Map Cleaner Script in Rhino Python and converted the […]

3D Printing | Rhino Python || 3d printing | design education | dwg | map | rhinopython
December 3, 2022

SpaceChase: A Dynamic and Interactive Tool

Architectural design, as a cognitive activity, has always been fed by architectural knowledge based onpractice and theory, and it has been questioned how creative and generative design processes canbenefit from scientific methods. Therefore, through inquiry and experimentation, the architect develops his or her ideas, constructs and analyzes the space, and continuously improves it. However, this is asubjective process. There are design tools and methods that provide objective criteria for theassessment […]

Graph Theory | Grasshopper | Publications | Space Syntax || graph | Grasshopper | space syntax | spacechase
November 27, 2022

Strange Start Startling Stop

“Strange Start Startling Stop” was designed by Mary Purdy at the State University of New York in 1985. The composition is based on a hexagonal lattice (above figure). There are four prototiles, marking the four key moments in the shape-shifting process. The first prototile is a regular hexagon, which is also the first tile of the composition. This prototile morphs into a shape that is a composition of four smaller […]

Basic Design | Pattern Deformations | Rhino || basic design | parquet deformation | pattern | prototile | rhino | william huff
November 26, 2022

Fourier Series

This is my first experiment with the Fourier Series in Grasshopper using Python. This is a technique to decompose functions into their frequency components. Fourier series have a wide range of applications in physics and engineering. What makes it especially fascinating, however, is the visual intuition it offers. It looks like a kind of mathematical “magic” that emerges from the geometry of frequency. I explored several excellent visual explanations online, […]

Curves | Grasshopper | Rhino Python || fourier | signal
November 14, 2022

Production of Gyroid-like Modular Systems with Non-linear Robotic Hotwire Cutting

This is the new paper with Meryem Nurefşan Yabanigül, published at Automation in Construction. It is also Meryem’s master’s thesis. This study is about testing the production of curved surfaces with non-linear robotic hotwire cutting and shape memory alloys. Below is the abstract of it: Robotic arms are being used by construction firms and schools of architecture around the world in design/build research and material studies. Some of these studies […]

Physical Prototyping | Publications | Robotic Fabrication || gyroid | hotwire cutter | robotic arm | robotic fabrication
January 22, 2022

Vector Projection and Angle

In this session, I will add two new methods to the Vector class. I think this will finish the basics for the vectors. In the future, we are going to need several new methods like adding multiple vectors and interpolation. But for now, I think this would be sufficient to further advance into parametric curves and surfaces. These new methods will be based on the dot product method we created […]

Design Mathematics | Linear Algebra | Rhino Python || angle | dot product | projection | rhinopython
December 21, 2021

Vector Normalization and Dot Product

This is the continuation of the Vector class we started here, and further advanced here, here, and here. This new Rhino Python implementation is mostly educational and partially a hobby. Before this session, we have developed display, magnitude, add, multiply, reverse, and subtract methods. This time, I am adding the vector normalization and dot product methods and seeing the utilizations of the dot product. Line Explanation 1-26 Already explained in […]

Design Mathematics | Linear Algebra | Rhino Python || dot product | unit vector | vector | vector normalization
October 29, 2021

Curve Equations Revisited

This is the continuation of the previous post on parametric curve equations. In this new version, the script picks a NURBS curve from the user. Then, it analyses the curve’s degree and control points. Unfortunately, only the curves with degree+1 number of control points can be processed. In the future, I hope that I will be able to extend this script to include multi-span curves with more than degree +1 […]

Parametric Curves | Rhino Python || control points | equation
October 14, 2021

Vector Magnitude Method in Rhino Python

Today, I am going to make only one addition to the Vector class we recently started in Rhino Python. The magnitude of a vector can be easily calculated by assuming that the axes (2 or 3 axes) of it are perpendicular to each other. This gives us an opportunity to assume a right triangle visually, and calculate the magnitude (length) of a vector by using the Pythagorean Theorem. In short, […]

Design Mathematics | Linear Algebra | Rhino Python || normalization | reversing vector | vector magnitude | vector subtraction
October 12, 2021

Parametric Curve Equations

The parametric curve equations are good examples to demonstrate the bridge between computer-aided design and mathematics. Although useless and pointless, it is a good exercise to extract the curve equations. In this Rhino Python code, I present a generalized equation extractor for Rhino. Rhino curves are good examples de Casteljau and Bézier curves. You can see the mathematical underpinnings of Rhino curves with this exercise: This code asks the user […]

Parametric Curves | Rhino Python || curve | equation | mathematics | parametric
September 19, 2021

SpaceChase for Grasshopper

The SpaceChase plugin for Grasshopper focuses on initiating dynamic capabilities to Space Syntax theory by introducing the “Dynamic Canvas” model along with real-time editing capabilities in an interactive physics-based environment. SpaceChase is a software development project for “Mekan Dizimi Tasarım Uygulaması” under the ARDEB 1001 program of TÜBİTAK. It is a collaborative research project between İstanbul Technical University, İstanbul Bilgi University, and Tuşpa Design Studio. You can find more information about the project […]

Graph Theory | Grasshopper | Space Syntax || dynamic | graph | software development | space syntax
September 16, 2021

Compass only Construction of Bézier Curves

This is a new paper published in Nexus Network Journal. I tried to implement euclidean constructions by compass in the approximation of famous parametric curves; Bézier curves, and B-Splines. Then, I created the algorithms to calculate the number of steps on a compass-only construction of Bézier curves. I developed a simple Python script to simulate the geometric constructions. However, I have been studying this topic for nearly four years. In […]

Compass Constructions | Parametric Curves | Publications || basis spline | bezier | compass | euclidean construction
September 2, 2021

More Vector Operations in Rhino Python

This is the continuation of my new project of re-creating the parametric curve and surface methods of Rhino via Python scripting. If you remember, I started with the building block of vector operations, here and here. Then, I defined vector addition and multiplication, before going deeper into the geometric calculations. In fact, they are using the previously defined addition and multiplication methods. New Vector Operations: Subtraction and Reversing In the […]

Design Mathematics | Linear Algebra | Rhino Python || reverse vector | vector | vector subtraction
September 1, 2021

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

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