🌀 UTAC Φ^(1/3) Spiral Visualization

Interactive 3D exploration of the β-hierarchy

Weakly Coupled (β: 2.0-3.5)

High-Dimensional (β: 3.0-4.5)

Strongly Coupled (β: 4.0-5.5)

Physically Constrained (β: 7.0-10.0)

Meta-Adaptive (β: 10.0-25.0)

About the Φ^(1/3) Spiral

This visualization shows how UTAC β-values scale according to the **cubic root of the golden ratio** (Φ^(1/3) ≈ 1.174).

Key Insights:

Each system's position is determined by its β-value (radius = β / 4)
Systems are arranged in a spiral with 3 full rotations
Height increases with system index (sorted by β)
Colors indicate Field Type classification
Every 3 systems → one Φ-leap (Φ^(1/3) × Φ^(1/3) × Φ^(1/3) ≈ Φ)

Interaction: Rotate (drag), zoom (scroll), hover for details

Triadic Structure: Notice how systems cluster in 3-system groups, with each group scaling by Φ ≈ 1.618