We know the Collatz Conjecture is a mathematical trap—all numbers eventually fall into a loop. But what does their journey look like before they fall?
Explore the 5 Modes:
- Geometric: Watch numbers fold into “Snowflakes” using Turtle Graphics.
- Stochastic: See proof that the Collatz sequence isn’t random by racing it against a coin flip.
- Attractor: Visualize the exact moment a number gets “trapped” in a geometric loop.
How to use: Select a Fractal Category from the sidebar to change the lens. Enter a seed number (like 27 or 993) and click Render to watch the structure build in real-time.