The Mathematical Intelligencer

, Volume 28, Issue 4, pp 34–38 | Cite as

Mono-monostatic bodies

The answer to Arnold’s question


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  1. 1.
    G. Domokos, J. Papadopoulos, A. Ruina: Static equilibria of planar, rigid bodies: is there anything new?J. Elasticity 36 (1994), 59–66.CrossRefMATHMathSciNetGoogle Scholar
  2. 2.
    M. Berger, B. Gostiaux:Differential geometry: Manifolds, curves and surfaces. Springer, New York (1988).CrossRefGoogle Scholar
  3. 3.
    Conway, J. H. and Guy, R.: Stability of polyhedra,SIAM Rev. 11 (1969), 78–82.CrossRefGoogle Scholar
  4. 4.
    Dawson, R.: Monostatic simplexes,Amer. Math. Monthly 92 (1985), 541–646.CrossRefMATHMathSciNetGoogle Scholar
  5. 5.
    Dawson, R. and Finbow, W.: What shape is a loaded die?Mathematical Intelligencer 22 (1999), 32–37.CrossRefMathSciNetGoogle Scholar
  6. 6.
    Heppes, A.: A double-tipping tetrahedron,SIAM Rev. 9 (1967), 599–600.CrossRefGoogle Scholar
  7. 7.
    Várkonyi, P. L. and Domokos G.: Static equilibria of rigid bodies: dice, pebbles and the Poincaré-Hopf Theorem.J. Nonlinear Science 16 (2006), 251–283.CrossRefGoogle Scholar
  8. 8.
    Arnold, V. I.: Ordinary Differential Equations, 10th printing, 1998. MIT Press.Google Scholar
  9. 9.
    Freedberg, al.: Developmental environment has long-lasting effects on behavioral performance in two turtles with environmental sex determination,Evolutionary Ecology Res. 6 (2004), 739–747.Google Scholar
  10. 10.
    Steyermark A. C, Spotila, J. R.: Body temperature and maternal identity affect snapping turtle(Chelydra serpentina) righting response,COPEIA 4 (2001), 1050–1057.CrossRefGoogle Scholar
  11. 11.
    Arnold, V. I.:Arnold’s problems. Springer, Berlin-Heidelberg-New York & PHASIS, Moscow, 2005.CrossRefGoogle Scholar
  12. 12.
    Tabachnikov, S.: Review ofArnold’s problems, The Mathematical Intelligencer, to appear.Google Scholar

Copyright information

© Springer Science+Business Media, Inc., 2006

Authors and Affiliations

  1. 1.Program in Applied and Computational MathematicsPrinceton UniversityPrincetonUSA
  2. 2.Department of Mechanics, Materials,and StructuresBudapest University of Technology and EconomicsBudapestHungary

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