Ice single crystals were grown in two dimensions from water under pressure just above their roughening temperature. During growth, the crystals maintained rounded, six-fold symmetric, disc-like shapes. As they grew, they reduced their local curvature in agreement with a recently proposed theory. The features are attributed to interface-con trolled growth obeying an orientation-dependent growth rule. (C) 2002 Elsevier Science B.V. All rights reserved.