Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For Hobbyists & Makers · Percolation

Percolation for a mass on a spring

Built for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker. Simulate a mass on a spring live below — adjust the inputs and watch it respond, right in your browser.

Percolation StudioLive

phase transition · spanning clusters

Controls

Each cell is open with probability p. Water poured on top (cyan) seeps through connected open cells. Near p ≈ 0.59 a spanning path suddenly appears — a phase transition.

Presets

Open probability p

▶ Run in Python

Data Inspector

p0.60

Percolates?no

p_critical≈ 0.593

Governing equation

P (open) = 0.60, p_{c} \approx 0.5927 \Rightarrow spanning cluster

Reading this result: Right at the critical point p_c ≈ 0.5927: a spanning cluster first appears. This is a continuous (second-order) phase transition — the crossing probability rises sharply here and the connected cluster is fractal.

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Frequently asked questions

Is this good for hobbyists & makers?: Yes — this version of "Percolation for a mass on a spring" is framed for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.