Research

I realized this method of constructing basis splines from given control points while searching for a way to teach students about basis splines. I couldn’t find an easy and visual method to create clamped basis splines by connecting simple cubic Bézier spans. It is a…

Below is the Python code you can run in Rhino, that draws a cubic Bézier curve (degree 3). As you can see, the Rhino Python code is very slow and inefficient because we calculate every point with lots of computations. Instead, we can use the…

In this short study, I generated Rumi Improvizations. The rumi motif, prevalent in traditional Turkish decorative arts like tilings, window lattices, and fabrics, features a round shape with a comma-like body. Despite resembling stylized leaves, rumis have zoomorphic origins. Rumi compositions depicted stylized animal figures,…

Yes, interesting topics started to reveal themselves, when I dig into the function curves, especially in the parametric representation. The first interesting application is the “derivative”. Nobody in high school told me that the derivative of a function at a given point gives the slope…

This RhinoPython script handles the simple graphs of two-dimensional parametric functions. Therefore, it approximates these functions by drawing parametric curves. It generates many points by solving the functions. The graph of parametric functions is a major topic in most Design Mathematics courses. Because it looks…

The Cut & Fold & Craft exercise is the mid-term project for last year’s Computation-based Basic Design Studio at İstanbul Bilgi University Faculty of Architecture. I really enjoyed the technique called Kirigami. Most of the projects are not flat-foldable but they are all cut from…

Here is a short series of videos showing the basic usage of Ladybug tools in a canopy design. So, I prepared this for my Parametric Design Systems elective course. Then, I encouraged my students to design their own canopies utilizing a similar Ladybug workflow in…

Here is the abstract of my last publication in the International Journal of Architectural Computing. Parquet Deformations is an architectural studio exercise of William Huff in the 1960s. It aims to improve students’ reasoning of spatiotemporal variation by utilizing sequential shape-shifting of patterns. This article examines the…

In 2017, during the 4th International Architecture Biennial of Antalya, we constructed the Common-action Wall in Karaalioğlu Park. We designed this architectural prototype as a wall that enables the growth and harvesting of edible plants for park users. To facilitate plant growth and ensure sunlight…

It has been nearly 2 years since we designed and produced this garden. Similar to the first version, Common-action Gardens #2 is injected in formal park layouts. We build it for recreation as garden structures with an aim to support the “preserve, sustain, and share”…

Introducing the new YouTube channel for designcoding! The architectural Geometry playlist will contain video tutorials on several topics of basic geometry exercises for designers. Below are the introductory exercises of polyline drawing and some planar transformations such as scale and rotation. It is also an…

Anemone components are still working great, extending the abilities of Grasshopper. Here, I studied a space-filling (or plane-filling) fractal called the Gosper-Peano Curve. You should be very careful about the number of iterations (the N input). Because it can crash your Rhino if you change…

Studied earlier in Grasshopper here, creating a cycloid-like curve actually mimics the physical process of rotating disks on a path. Below is a test in Rhino Python.

According to Wolfram, “By the duality principle, for every polyhedron, another polyhedron exists in which faces and polyhedron vertices occupy complementary locations. This polyhedron is known as the dual, or reciprocal”. We can use this method to generate new polyhedra from known ones. I tried…

We will see a simple Rhino Python exercise here. I called these Polygon Fractals (or Pentaflakes sometimes). It is both educational and fun to play with them. In Rhino, it can be a good exercise for basic CAD commands and transformations such as move, copy,…

A simple Rhino Python script that generates fractal curves. An example is a test with the Gosper-Peano curve. However the script is not supporting segment directions, which is why the result is not the intended curve. Curve directions could be implemented in the future.

As studied earlier in Grasshopper here, the sunflower spiral, or Phyllotaxis, or Fibonacci’s spiral, could be drawn as an exercise of looping in Rhino Python. Phyllotaxis is the arrangement or patterning of leaves, flowers, or other plant parts around a stem or axis. Thus, it…

This Rhino Python code calculates the cross-product determinant used to determine the orientation of three points (current, next_point, and point) to see if they form a left turn or a right turn. This is a well-known technique in computational geometry to check the relative orientation…

Boris Nikolayevich Delaunay was a Russian mathematician and mountain climber. He developed the Delaunay triangulation, which is a method in computational geometry. It is a triangulation of a set of points such that no point is inside the circumcircle of any triangle formed by the…

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/