September 2021

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 the degree of the curve. By default, Rhino’s curves are…

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 here. In SpaceChase, a Kangaroo-based dynamic graph is introduced along with contextual node and…

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 the future, I wish that it would be a good…

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 future, we are going to need to reverse a vector,…