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🌊 Amphibious City Architect
A floating neighbourhood on a pontoon platform. Stack the buildings too tall and the centre of gravity rises above the metacentre — at which point the platform stops righting itself and starts rolling over instead. Widen the pontoon and stability improves dramatically, because the restoring effect scales with the square of the beam.
Pontoon
Superstructure
Live Result
—
Metacentric Height GM (m)
—
Displacement (tonnes)
🎯 Goal: keep GM above 0.5 m — a positive but comfortable margin. Try halving the beam and watch stability collapse far faster than you'd expect.
Powered by exact Archimedes buoyancy and classical
metacentric stability (
engine/buoyancy-stability.js) — verified
before publishing by two independent routes: BM computed from the waterplane
second moment of area I/∇ was cross-checked against the closed-form
rectangular simplification B²/(12T), and the draft was round-trip verified
against displacement. This is initial (small-angle) stability only; large-angle
capsize behaviour needs a full GZ righting-arm curve, which this engine
deliberately does not attempt.Method
ArchimedesT = m/(ρLB) — displaced fluid mass equals floating body mass.
Bouguer (1746)GM = KB + BM − KG, BM = I/∇. GM > 0 is the condition for initial stability.