The ancient art of laying rope

@article{Bohr2011TheAA,
  title={The ancient art of laying rope},
  author={J. Bohr and Kasper W. Olsen},
  journal={EPL},
  year={2011},
  volume={93},
  pages={60004}
}
  • J. Bohr, Kasper W. Olsen
  • Published 2011
  • Physics, Mathematics
  • EPL
  • We describe a geometrical property of helical structures and show how it accounts for the early art of rope-making. Helices have a maximum number of rotations that can be added to them — and it is shown that this is a geometrical feature, not a material property. This geometrical insight explains why nearly identically appearing ropes can be made from very different materials and it is also the reason behind the unyielding nature of ropes. Maximally rotated strands behave as zero-twist… CONTINUE READING
    23 Citations

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    References

    SHOWING 1-10 OF 36 REFERENCES
    25—The Geometry of Multi-Ply Yarns
    • 72
    From helix to localized writhing in the torsional post-buckling of elastic rods
    • J. T. Thompson, A. Champneys
    • Engineering
    • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
    • 1996
    • 104
    IN SEARCH OF IDEAL KNOTS
    • 55
    • PDF
    TWIST IN BALANCED-PLY STRUCTURES
    • 17
    The writhing of circular cross–section rods: undersea cables to DNA supercoils
    • D. Stump, W. Fraser, K. Gates
    • Mathematics
    • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
    • 1998
    • 38
    The generic geometry of helices and their close-packed structures
    • 36
    • PDF
    Global curvature, thickness, and the ideal shapes of knots.
    • O. González, J. Maddocks
    • Physics, Medicine
    • Proceedings of the National Academy of Sciences of the United States of America
    • 1999
    • 221
    • PDF
    Helical close packings of ideal ropes
    • 35
    • PDF
    A Wooden Figure of Wadjet with two Painted Representations of Amasis
    • 1