Animated Visualizations of Beauty, Order, and Complexity
A spirograph is a geometric curve traced by a point on a circle rolling inside another circle. Watch as beautiful patterns emerge with each animation cycle. Adjust parameters to explore new designs.
The logistic map shows the journey from order to chaos. Watch the animated diagram build from left to right, revealing the cascade of bifurcations that lead to chaos.
The iconic butterfly shape emerges as the Lorenz system evolves. Watch the trajectory trace the strange attractor, demonstrating sensitive dependence on initial conditions.
Zoom infinitely into the fractal boundary. Each loop zooms deeper, revealing self-similar patterns at every scale—a mathematical infinity rendered in pixels.
Watch as a Large Language Model generates text word by word. The top line shows the sentence being built, while the heatmap below reveals how each new word attends to all previous words. The attention mechanism is the key innovation that powers modern AI language models.
Top: Generated sentence | Bottom: Attention weights (how current word attends to previous words)