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🔥 Phase Transition Visualization 🔥

The Grand Finale: Interactive exploration of the percolation phase transition! Drag the density slider to move through subcritical → critical → supercritical regimes. Watch the forest transform from isolated clusters to spanning connectivity. This is complex systems at their most beautiful - order emerging from randomness.
30% (Sparse) 59% (Critical) 90% (Dense)
CRITICAL PHASE
Density
59%
Total Trees
0
Trees Burned
0
Burn %
0%
Ticks
0
Crossed Edge
No
Phase Transition Theory:

Subcritical (p < 0.59):
Small isolated clusters. Fire cannot span forest. Order parameter P∞ = 0.

Critical (p = 0.59):
Fractal spanning clusters emerge. Power-law distributions. P∞ transitions from 0 → 1.

Supercritical (p > 0.59):
Giant spanning cluster dominates. Fire reliably crosses. P∞ → 1.

Critical exponents: β ≈ 5/36, ν ≈ 4/3, γ ≈ 43/18