#pattern

Informal use of Voronoi diagrams can be traced back to Descartes in 1644 Peter Gustav Lejeune Dirichlet used two-dimensional and three-dimensional Voronoi diagrams in his study of quadratic forms in 1850. British physician John Snow used a Voronoi-like diagram in 1854 to illustrate how the majority of people who died in the Broad Street cholera outbreak lived closer to the infected Broad Street pump than to any other water pump. Voronoi diagrams are named after Georgy Feodosievych Voronoy who defined…

I had previously shared a few pattern animations (here, here, and here) from 2023 that felt a bit unsettling. Here, I am presenting the last four remaining in the archive of Grasshopper 1.0. To me, they feel a bit eerie, and I don’t even know why I made them this way. But I am sharing them anyway, thinking that maybe they could be useful to someone for a completely different, cheerful purpose. It is possible, but difficult, to create these…

Revisiting a specific mathematical phenomenon that I previously explored twice, here (in 2017) and here (in 2011), from a different angle in 2026 now. This was the final video (from 2023) that I found in my junk folder during the blog’s resurrection. Today, designers mostly know Fermat through the famous 137.5-degree angle of rotation, which is the mathematical formula used to describe the arrangement of sunflower seeds. However, today I will speculate on a nightmare of Fermat’s. Because Fermat, in…

Ever since I restructured designcoding, I’m still sorting through the trash folder. All 580 posts published on the blog have been reviewed, and their files have been uploaded as open source. The mysterious trash folder, where I couldn’t even tell where things belonged, is shrinking fast. While checking this folder yesterday, I found a video. This is probably a simple tutorial I prepared about 10 years ago for the parametric modeling elective course (probably related to this 2012 post). The…

For a research project with Avşar Gürpınar in 2024, we studied lace patterns. During this process, I had the opportunity to try out two Grasshopper plugins: Parakeet and Clipper. When combined, they allow you to obtain laser-cutting patterns. Parakeet is a very good plugin that generates tessellations. This was something I always dreamed of developing back in my youth. 2-Uniform Tiling In this design, I used the Parakeet component named 2-Uniform Tiling. In geometry and tiling theory, a 2-uniform tiling…

While digging through my archives, I found an old animation I made in 2023. Back then, I was generating patterns with Parakeet. Thanks to this talented add-on, I managed to create a nice pattern by dressing a different component onto a Snub Square tiling base. However, for some reason, things started turning into a horror movie after that. MultiPipe was popular back then. So, I converted this pattern into surfaces using MultiPipe and attempted an animation using Rhino’s rendered viewport…

Lattice deformation in parametric design refers to the process of manipulating a grid or mesh structure so that it changes shape in response to specific inputs or parameters. We use this approach widely in computational design for creating complex, organic forms and adaptive systems. Also, lattice deformation can be applied in architectural facades, structural systems, and product design where adaptability and aesthetic fluidity are desired. In this short tutorial video, I am drawing a lattice deformation in the Rhinoceros. It…

Parquet deformation refers to a transformation technique applied to a grid or tiling pattern, particularly one that resembles traditional parquet flooring, to create visually interesting and dynamic patterns. This concept is used in parametric design to alter repeating geometric tiles, producing effects such as warping, bending, or otherwise deforming the original pattern while maintaining an overall cohesive layout. In this short tutorial video, I am explaining the drawing of Crosswise deformation. This is a beginner-level drawing exercise that utilizes basic…

This is the new version of my previous study on the deformation of Islamic Patterns. I love the purity and simplicity of the geometric construction processes of these patterns. It is possible to observe them in many places in many different forms. By continuing this work, I aimed to highlight the pattern deformations that map out all the variation possibilities of these patterns. Unlike previous versions, this time I aimed to achieve results ready for laser-cutting production. As you will…

“In the heart of a sunflower’s embrace, its seeds weave a poetic tale—a dance of two spirals, parastichies they’re called. One unfurls gracefully from the center in the hush of clockwise whispers, while its counterpart whispers secrets in the tender breaths of counterclockwise motion. A subtle ballet unfolds, where the number of these spirals gracefully mirrors the whispers of adjacent Fibonacci numbers, composing a delicate symphony in the sun-kissed fields.” says ChatGPT if I force it to be a little…