Escher Patterns in the Classroom

Here is one of the exercises I tested with a few students in Architectural Geometry. The exercise is about creating Escher-like patterns. It is an introductory topic on the designerly utilization of regular tessellations. We use square, hexagonal, or triangular tessellations as underlying structures of complex patterns. Below are some of the student works from this exercise. I think the black-and-white coloring helps in terms of reducing the requirements. Although […]

Design Geometry || design education | escher | pattern
August 22, 2017

Parametric Wall Revisited

This exercise was a popular one in the 2015 and 2016 Architectural Geometry classes. Recently, I found these images of student works. However, some of the students’ names are missing (please e-mail me if one of them is yours). I love this exercise because it is a quick and efficient way of explaining and experimenting with the workflow of digital to physical production. In this particular exercise, students created Rhino […]

Parametric Modeling || deformation | design education | parametric wall | pattern
August 20, 2017

Gosper-Peano Curve in Grasshopper

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. […]

Fractals | Grasshopper || anemone | fractal | gosper | loop
August 19, 2017

Unity of Voids

In the last semester’s mid-term project of Computation-based Basic Design 2, we experimented with the casting method for studying solids and voids. Students worked in groups of four. First, they designed a set of components within a 10cm bounding cube. These cubes represent 1m3 on a 1:10 scale. After that, they multiplied them into a system of voids with a function for human use. They fabricated at least 24 pieces […]

Basic Design || casting | component | plaster | void
August 9, 2017

Common-action Gardens #1

IABA 2015 International Architecture BiennialAntalya // October 2015, Exhibition at Karaalioğlu Park Design and Prototyping: Fulya Akipek, Tuğrul Yazar, Aslı AydınTeam of students: Alara Lüküs, Burak Güney, Elif Soylu, Tufan İşcan, Tunç ŞenmanConsultants: Anonim İstanbul_Burcu Serdar Köknar, Hande Kalender, Dilek Yürük Video by Elif Soylu COMMON action GARDENS I is an urban garden structure that is exhibited and still in use in Karaalioglu Park as part of the 3rd Architecture […]

Projects || contouring | parametric object | permaculture
August 8, 2017

Low-Poly Habitat

Below is a simple tutorial class we studied in Rhino in 2015 and 2016. The exercise is called “A Low-Poly Habitat”. The aim is to create simple polygon models by analyzing the overall geometric topology of an animal body. First-year design students attended the exercise and they are encouraged to create these models using blueprints from www. They used simple commands such as point, line, and surface from 3 or […]

Design Geometry | Rhino || modeling | polygon | rhino
August 7, 2017

Cycloid Curves with Rhino Python

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 […]

Parametric Curves | Rhino Python || cycloid | rhinopython
August 7, 2017

Dual Polyhedra Generator

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 […]

Polyhedra | Rhino Python | Tools || dual | sphere
August 3, 2017

Polygon Fractals with Rhino Python

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 […]

Fractals | Rhino Python || fractal | polygon | rhinopython
August 2, 2017

Fractal Curves with Rhino Python

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 […]

Fractals | Rhino Python || fractal | rhinopython
July 31, 2017

Fibonacci’s Spiral with Rhino Python

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 […]

Parametric Objects | Rhino Python || fermat | phyllotaxis | rhinopython
July 30, 2017

Convex Hull with Rhino Python

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 […]

Computational Geometry | Curves | Linear Algebra | Rhino Python || convex hull
July 28, 2017

Delaunay Triangulation with Rhino Python

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 […]

Computational Geometry | Rhino Python | Tools || delaunay | triangulation
July 27, 2017

Drawing Herschel’s Enneahedron

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/

Polyhedra | Rhino || enneahedron | solid
July 26, 2017

Hexagonal grid with Rhino Python

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 […]

Rhino Python | Tessellations || grid | hexagon
July 25, 2017

Workshop: “Grasshopper ile Parametrik Modelleme”

“Grasshopper” çalıştayı İstanbul Bilgi Üniversitesi Eyüp / santralİstanbul Kampüsü’nde, Mimarlık Fakültesi içerisinde 26 ve 27 ekim tarihlerinde 2 gün boyunca saat 10:00 – 16:00 arasında gerçekleştirilecektir. “Grasshopper ile Parametrik Modelleme” kitabının yazarları Tuğrul Yazar ve Serkan Uysal tarafından yürütülecek çalıştayda Grasshopper’a giriş, veri yapıları ve temel geometrik dönüşümler incelenecek ve uygulamalar yapılacaktır. Çalıştay dili Türkçedir. Katılım ücretsizdir. Katılım için önceden kayıt yaptırmak gerekmektedir. Kayıt başvurusu için 24 ekim saat 18:00’e kadar […]

Parametric Modeling | Workshops || Grasshopper | Workshop
October 14, 2016

Circular Relationship Diagram

This is done because I needed to represent relationships between different factors and layers of a design process. Although this method of “Chord Diagrams” is a very common technique in information design, it became very hard to find an effective tool for generating those diagrams quickly. There seem to be a solution called “Circos” but however, even installing it on the computer became very boring for me. So I decided to […]

Grasshopper || diagram | visualization
May 31, 2015


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