The Mechanics of Rocking Stones: Equilibria on Separated Scales

@article{Domokos2011TheMO,
  title={The Mechanics of Rocking Stones: Equilibria on Separated Scales},
  author={G. Domokos and A. Sipos and T. Szab{\'o}},
  journal={Mathematical Geosciences},
  year={2011},
  volume={44},
  pages={71-89}
}
  • G. Domokos, A. Sipos, T. Szabó
  • Published 2011
  • Mathematics, Physics
  • Mathematical Geosciences
  • Rocking stones, balanced in counter-intuitive positions, have always intrigued geologists. In our paper, we explain this phenomenon based on high-precision scans of pebbles which exhibit similar behavior. We construct their convex hull and the heteroclinic graph carrying their equilibrium points. By systematic simplification of the arising Morse–Smale complex in a one-parameter process, we demonstrate that equilibria occur typically in highly localized groups (flocks), the number of the latter… CONTINUE READING
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    References

    SHOWING 1-10 OF 39 REFERENCES
    Pebbles, Shapes, and Equilibria
    • 27
    On the equilibria of finely discretized curves and surfaces
    • 13
    • PDF
    THE ORIGIN OF GRANITE TORS ON DARTMOOR, DEVONSHIRE
    • 52
    Molecular shape analysis based upon the morse-smale complex and the connolly function
    • 125
    • PDF