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- W4242581552 abstract "S. M. Ulam once asked if spheres are the only homogeneous bodies that can float in every orientation. Here an affirmative answer is given for a special class of bodies of revolution that seemed likely to contain counterexamples. Traditionally, the floating bodies of most interest have been ships, which are not homogeneous. However, homogeneous bodies are found to float in surprising ways. Bodies with symmetry often float asymmetrically. Thus, circular cylinders can float with the axis of symmetry tilted away from vertical at strange angles. A cube or regular tetrahedron can float with neither a vertex, an edge center, nor a face center down. Indeed, like the circular cylinder, a cube may have infinitely many indifferently stable floating orientations that are not isolated, but form a one-parameter family." @default.
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- W4242581552 date "1991-03-01" @default.
- W4242581552 modified "2023-10-11" @default.
- W4242581552 title "How Things Float" @default.
- W4242581552 cites W946113798 @default.
- W4242581552 doi "https://doi.org/10.1080/00029890.1991.11995729" @default.
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