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CRITICAL PHENOMENA + MONTE CARLO VISUAL

Critical Percolation Threshold Lab

Visualize square-lattice percolation with cluster labeling, spanning-path detection, Monte Carlo threshold sweep, SVG map, cluster CSV, sweep CSV, Markdown notes and JSON receipt.

Reviewed 2026-06-28

Math
Cluster SVGThreshold metricMonte Carlo sweepCSV exportsJSON receipt

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FORMULA CONTRACT

A random grid becomes a system-level phase change.

The lab uses a four-neighbor square lattice where a site is open when u < p. It compares the finite result with the infinite-lattice reference pc ≈ 0.592746, then runs a local Monte Carlo sweep for span probability.

Read the editor guide for percolation thresholds