Collatz Logarithmic Spiral - Funnel Capture Visualization

The integer manifold mapped as a scaled logarithmic spiral. Powers of 2 (2^k) appear as radial spokes (green). Watch trajectories spiral inward through funnel catchment zones toward n=1 at the center. Higher 2-adic valuations create deeper funnels (warmer colors = deeper capture). See proof →

Speed: 300ms

Zoom:

Spiral:

Max Points:

Current Position

871

Step

In Funnel k

Distance to 1

∞

Powers of 2 (2^k spokes)

Low funnel depth (k=1-2)

Medium funnel (k=3-4)

Deep funnel (k≥5)

Current trajectory position

Trajectory path (fades)

Try These Interesting Starting Values