The Mandelbrot Set
Click and drag to explore. Scroll to zoom into infinite detail. Each point represents a simple mathematical question: does this number escape to infinity, or stay bounded forever?
Recursive Trees
Watch how simple rules create complex, organic-looking structures. Each branch follows the same pattern as its parent, scaled down and rotated.
Strange Loops
Self-referential systems that create paradoxes and impossible objects. These patterns reference themselves in ways that challenge our understanding of hierarchy and causation.
Fibonacci Spirals
The golden ratio appearing in sunflowers, nautilus shells, and galaxy arms
Lightning Patterns
Fractal branching in electrical discharge, river deltas, and blood vessels
Crystal Growth
Self-similar patterns in mineral formation and ice structures
Fern Fractals
How simple mathematical rules can recreate complex plant structures