Helix-Coil Transition: Space-Time & Melting Map

This simulator runs the identical coarse-grained Metropolis Monte-Carlo model of alpha-helix formation as its 3D counterpart — a Zimm–Bragg-style nucleation-plus-propagation free energy over a peptide's coil/helix flags — but drops the folded backbone entirely in favor of two genuinely 2D representations. A scrolling space-time map turns every Monte-Carlo sweep into one new row of a residue-by-time heatmap, so nucleation and cooperative growth are visible directly as a spreading pattern rather than inferred from a rotating 3D shape. Alongside it, a live melting-curve panel plots the exact single-dominant-domain analytic equilibrium helix content against temperature and marks where the running simulation currently sits, so you can watch the simulated state track (or lag) the theoretical curve as you sweep temperature, chain length and sequence.