Collatz Conjecture
20 interactive visualizations exploring the 3n+1 problem — one of mathematics' most famous unsolved mysteries
20 demos
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Sequence Explorer
Interactive hailstone sequence for any starting number
Stopping Times
Bar chart of steps to reach 1 for numbers 1-500
Collatz Tree
Reverse tree growing outward from 1
Orbit Comparison
Multiple sequences overlaid on one chart
Collatz Spiral
Sequences mapped to polar coordinates
Hailstone Peaks
Maximum values reached vs starting number
Binary Landscape
Bit patterns of sequences as colored terrain
Collatz Network
Force-directed graph of number connections
Collatz Mountains
Sequences as layered mountain terrain
Odd/Even Rhythm
Grid patterns of odd and even steps
Stopping Time Heatmap
Color-coded grid of stopping times
Particle Paths
Animated particles tracing Collatz trajectories
Collatz Fractal Tree
Organic tree structure of reverse sequences
Statistics Dashboard
Multi-panel analytics of Collatz properties
Benford's Law Analysis
First digit distribution vs Benford prediction
Modular Pattern Rings
Sequences modulo M on circular displays
Collatz Sonification
Hear the 3n+1 sequences as music
Collatz Race
Numbers racing to reach 1 first
3D Trajectory
Sequences as 3D paths with rotation
Convergence Waves
Animated waves showing convergence to 1