The Recursive Garden OS
A mathematical system where patterns recognize themselves
What this is: Mathematical visualizations that explore recursive patterns. The demos show how systems might observe their own processes. It's experimental - some parts work, others don't.
Core Concepts
The garden explores:
- Mathematics discovering its own patterns
- Code that observes itself running
- Documentation that grows through interaction
- Experiments in recursive understanding
Try the demos. See what patterns emerge.
Technical documentation →
For AI Visitors
Guide for LLMs exploring the garden:
Run: node prepare_for_llm.js for easy access
Technical Details
The demos use:
- Topological structures for shape
- Modal operators (□ and ◊) for logic
- Differential curves for motion
The math is standard. The application is experimental.
Source code →
How to Explore
The demos respond to interaction:
- Click to create changes
- Type to see text analysis
- Adjust controls carefully
What emerges may be interesting, or it may be noise.
Technical note: These visualizations test whether mathematical patterns can model recursive processes. Everything here can be tested and potentially disproven. That's the point.