Ice cubes

How does the shape of ice depend on the lateral and vertical confinement in a convective cell? In which conditions can we get the maximal amount of ice? How many possible equilibrium states can we observe for this system?  We have tried to rationalize these questions by means of simulations and experiments. Read about it in  Equilibrium states of the ice-water front in a differentially heated rectangular cell, Ziqi Wang, Enrico Calzavarini and Chao Sun [ ]  soon also on Europhys Lett.