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 of the graph at that point. Moreover, it is possible to convert the slope value into an angle in degrees, showing the angle of the […]

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 like the building block of many concepts of CAD. However, there is much more to learn before saying that the third degree NURBS is a […]

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 a single sheet of paper. This technique seemed a little bit limiting at the beginning, but the students managed to design very interesting compositions in […]

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 Grasshopper. In this first video, I am building a test surface in Grasshopper. I use the Graph Mapper component to derive 3D points and Interpolated […]

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 outcomes of this educational research from the perspective of design computing. A multilayered reading about the exercise will reveal its historical, theoretical, and artistic backgrounds. Then […]

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 access, as well as to direct rainwater toward the plants, we conducted extensive studies on minimal surfaces. Ultimately, we found that the gyroid form met […]

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” idea. Thus, we expect to bring people together while producing. These gardens organize sustainable models for communal living by integrating raised beds, planting holes, water […]

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 interesting plane-filling fractal you know I like it very much.

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 it to more significant numbers. Also, you should have Anemone components installed in order to run this definition. The generator curve is a special one. […]

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. # Drawing Cycloid-like Curves # 07.08.2017 www.designcoding.net – Tugrul Yazar import rhinoscriptsyntax as rs curv = rs.GetObject(“Select curve”) qual = rs.GetInteger(“Quality”,100) radi = rs.GetReal(“a radius”,4) radi2 = rs.GetReal(“Circle radius”,4) cua = rs.OffsetCurve(curv,[1,1,0],radi2) cevre = 2 * 3.1415 * radi mimi = [] for […]

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 to develop a Dual Polyhedra Generator in this Rhino Python script. First, the script asks a user to select a closed polysurface object. Then, it […]

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, and scale, and precision drawing operations such as object snapping. Also, in Grasshopper, it can be a good challenge for looping. In Rhino Python, it […]

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. # Drawing Simple Fractal Curves # 31.07.2017 www.designcoding.net – Tugrul Yazar import rhinoscriptsyntax as rs import copy initials = rs.GetObject(“Select Initial Shape”,4) referenceA = rs.GetPoint(“Place Reference […]

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. According to ChatGPT: Phyllotaxis is the arrangement or patterning of leaves, flowers, or other plant parts around a stem or axis. Thus, it refers to the specific geometric arrangement of these structures in plants. The term “phyllotaxis” comes from the Greek words “phyllon” (meaning “leaf”) and […]

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 of points. In this script, the direction is the cross-product determinant that determines the relative orientation of the points. If the result is negative, the […]

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 points. It’s widely used in computer graphics and mesh generation. In 2013, I made the brute force code in Rhino Python which is a slow […]

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/

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 […]