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Fractal Analysis

Revisiting Pollock's drip paintings (Reply)


Replying to: K. Jones-Smith & H. Mathur reply

Our use1 of the term 'fractal'2 is consistent with that by the research community. In dismissing Pollock's fractals1,3 because of their limited magnification range, Jones-Smith and Mathur4 would also dismiss half the published investigations of physical fractals5. On the basis of previous debates on limited-range fractals5,6, a fractal description is particularly appropriate for Pollock's patterns because it is physically reasonable and because it is useful for condensing the description of a complex geometry, as we now describe.

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Figure 1: Analysis of freehand, gaussian and Cantor dust patterns.


  1. Taylor, R. P., Micolich, A. P. & Jonas, D. Nature 399, 422 (1999).

    Article  ADS  CAS  Google Scholar 

  2. Mandelbrot, B. B. The Fractal Geometry of Nature (Freeman, New York, 1977).

    Google Scholar 

  3. Mureika, J. R., Dyer, C. C. & Cupchik, G. C. Phys. Rev. E 72, 046101-1-15 (2005).

  4. Jones-Smith, K. & Mathur, H. Nature doi:10.1038/nature05398 (2006).

  5. Avnir, D., Biham, O., Lidar, D. & Malcai, O. Science 279, 39–40 (1998).

    Article  ADS  CAS  Google Scholar 

  6. Mandelbrot, B. B. Science 279, 783 (1998).

    Article  ADS  CAS  Google Scholar 

  7. Bassingthwaighte, J. B., Liebovitch, L. S. & West, B. J. Fractal Physiology (Oxford Univ. Press, 1994).

    Book  Google Scholar 

  8. Haussdorff, J. M. et al. J. Appl. Physiol. 80, 1448–1457 (1996).

    Article  Google Scholar 

  9. Doyle, T. et al. Int. J. Med. Sci. 1, 11–20 (2004).

    Article  Google Scholar 

  10. Shi, X. D. et al. Science 265, 219–222 (1994).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  11. Aks, D. & Sprott, J. C. Empir. Stud. Arts 14, 1–16 (1996).

    Article  Google Scholar 

  12. Taylor, R. P. et al. Patt. Recog. Lett. (in the press).

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Taylor, R., Micolich, A. & Jonas, D. Revisiting Pollock's drip paintings (Reply). Nature 444, E10–E11 (2006).

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