Floating shells: The breaking and restoration of symmetry

American Journal of Physics

Volumn 65, Issue 4, 1997, Pages 296-300

  Johnson, R C ^a  

^a DURHAM UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039504441     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.18510     Document Type: Article

References (9)

1. See, e.g., I. Stewart and M. Golubitsky, Fearful Symmetry (Penguin Books, London, 1993).
2. R. Delbourgo, "The floating plank," Am. J. Phys. 55(9), 799-802 (1987).
3. E. N. Gilbert, "How things float," Am. Math. Monthly 98, 201-216 (1991).
4. P. Erdös, G. Schibler, and R. C. Herndon, "Floating equilibrium of symmetrical objects and the breaking of symmetry. Part 1. Prisms," Am. J. Phys. 60(4), 335-345 (1992).
5. P. Erdös, G. Schibler, and R. C. Herndon, "Floating equilibrium of symmetrical objects and the breaking of symmetry. Part 2. The cube, the octahedron, and the tetrahedron," Am. J. Phys. 60(4), 345-356 (1992).
6. See, e.g., A. R. Paterson, A First Course in Fluid Dynamics (Cambridge U. P., Cambridge, 1983), pp. 105-106.
7. See, e.g., P. Glendinning, Stability, Instability and Chaos (Cambridge U.P., Cambridge, 1994), pp. 218-219.
8. The computations are conveniently performed with, e.g., MAPLE v (Waterloo Maple Inc., Waterloo, Ontario, Release 4, 1995).
9. R. L. Kautz, "Chaos in a computer-animated pendulum," Am. J. Phys. 61(5), 407-415 (1993).