Roman Kotecky, Enzo Olivieri Shapes of growing droplets-a model of escape from a metastable phase. (218K, Ams tex) ABSTRACT. Nucleation from a metastable state is studied for an Ising ferromagnet with nearest and next nearest neighbour interaction and at very low temperatures. The typical escape path is shown to follow a sequence of configurations with a growing droplet of stable phase whose shape is determined by dynamical considerations and differs significantly from equilibrium shape corresponding to the instanantenous volume.