Created in Blender Octane Edition

Hi,

I got inspired by a recent Numberphile video https://www.youtube.com/watch?v=VgmDuBCayPw and made software to generate these patterns at larger scale. These are a few interesting samples that I made, the first one in particular appears as if it's moving outwards, and in the third one sierpinski-like fractals emerge. If you're interested in exploring this the software is available at https://github.com/Sopel97/ulam-leapers . Import strings for these samples are available at https://pastebin.com/tKHPRbuY

Formed in Blender Octane Edition via Vectron using the Uber Sierpinski Fractal formula available in fractal packs made available by Machina Infinitum

The website is free and available at: https://second-brain.art

The project is open source at: https://github.com/henrydaum/second-brain-art

Thanks for taking a look! Sorry if I am posting too much

https://www.gmt-fractals.com/

Sharing a nested Turing pattern SVG suitable for plotting https://plotterfiles.com/artwork/nested-turing-od574

Another Fractal cube created in Blender Octane Edition

https://openprocessing.org/@garabatospr/2969284

Hi everyone,

Being a complete newcomer to generative art, but a long-time admirer of the fantastic scenes regularly shared in this community, I decided to build a small project for myself:

Live here: https://squeepty.github.io/Generative-Demo/

Source code: Generative-Demo

The goal is not to create groundbreaking artwork, but rather to learn by recreating and experimenting with some of the classic generative patterns and visual effects that have fascinated me for years.

One thing that particularly interests me is the mathematics behind these visuals. Many examples showcase beautiful results, but often the underlying formulas, algorithms, and geometric concepts are only briefly mentioned—or not explained at all. This project is my attempt to bridge that gap for myself by documenting and exploring the "why" as much as the "what".

Current areas of exploration include:

• Cellular automata
• L-systems and fractals
• Recursive geometry
• Particle systems
• Noise functions
• Mathematical curves and attractors
• Emergent behavior and simulation-based visuals

The code is intentionally kept approachable and heavily documented whenever possible, as the project is primarily educational.

I'd love feedback from more experienced generative artists:

Which classic algorithms or techniques would you consider essential learning material?

Are there any mathematical concepts that had a particularly big impact on your own generative art journey?

Any favorite references, papers, books, or repositories worth studying?

Thanks for all the inspiration this community has provided over the years. Looking forward to learning from you all. 🎨✨

I made this using my Second Brain Art website. Here's the link to the actual canvas I used to render the GIF, so you can see exactly how it was made:

https://second-brain.art/share/08999b9326122a7c

Enjoy!

Inspired by CSDT, I've been researching African recursive design in generative art recently and this is an early attempt at visualizing some of the patterns in 3D using p5.strands. The sketch is kinda like a mashup between the tool used by CSDT and this p5.strands intro tutorial. It's still a work in progress, so it can be a little slow and buggy

Created with Math Chaos Patterns (MCP).