We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Admissible shapes of bodies are characterized, according to the range of configurations in which the body can be made to float in a bath with horizontal surface, in the presence of capillary attractions. This is an expanded version of a paper in the MIS preprint series of 2006, with the same author and title.