For First Responders · Percolation
Percolation for a ballistic trajectory
Built for first responders planning or training for real incidents. Run fast what-if scenarios for response planning and training — no software to install in the field. Simulate a ballistic trajectory live below — adjust the inputs and watch it respond, right in your browser.
Percolation StudioLive
phase transition · spanning clusters
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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.
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Data Inspector
p0.60
Percolates?no
p_critical≈ 0.593
Governing equation
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 first responders?
- Yes — this version of "Percolation for a ballistic trajectory" is framed for first responders planning or training for real incidents. Run fast what-if scenarios for response planning and training — no software to install in the field.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.