On bodies floating in equilibrium in every orientation
Metric Geometry
2021-11-10 v4
Abstract
Ulam's problem 19 from the Scottish Book asks: {\it is a solid of uniform density which floats in water in every position necessarily a sphere?} We obtain several results related to this problem.
Cite
@article{arxiv.2010.09565,
title = {On bodies floating in equilibrium in every orientation},
author = {Dmitry Ryabogin},
journal= {arXiv preprint arXiv:2010.09565},
year = {2021}
}
Comments
6 figures, 16 pages