Abstract
A model for a dense packing of disks rolling on each other is presented. This model might have application for mechanical gearworks, for turbulence or for tectonic motion. A full classification of solutions with fourfold loops is given. The fractal dimensions are calculated and compared to Kolmogoroff scaling.
Like a rolling stone (Robert Zimmerman)
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References
W. McCann, S. Nishenko, L. Sykes and J. Krause, Pageoph 117, 1082 (1979); C. Lomnitz, Bull. Seism. Soc. Am. 72, 1441 (1982)
C. Sammis and G. King and R. Biegel, Pageoph 125, 777 (1987)
B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982)
D. W. Boyd, Mathematica 20, 170 (1973); see also ref. 3
K. J. Falconer, The Geometry of Fractal Sets (Cambridge Univ. Press, 1985); L. R. Ford, Automorphic Functions (Chelsen Publ., 1929)
H. J. Herrmann, G. Mantica and D. Bessis, preprint
for a review see G. Paladin and A. Vulpiani, Phys. Rep. 156, 147 (1987) or A. Coniglio, L. de Arcangelis and H. J. Herrmann, Physica A 157, 21 (1989)
G. Huber, private communication
D. Bessis and S. Demko, preprint
G. K. Batchelor, Theory of Homogeneous Turbulence (Cambridge Univ. Press, 1982)
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© 1990 Kluwer Academic Publishers
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Herrmann, H.J. (1990). Space-Filling Bearings. In: Stanley, H.E., Ostrowsky, N. (eds) Correlations and Connectivity. NATO ASI Series, vol 188. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2157-3_10
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DOI: https://doi.org/10.1007/978-94-009-2157-3_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-1011-2
Online ISBN: 978-94-009-2157-3
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