Brief Communications Arising | Published:

Fractal Analysis

Revisiting Pollock's drip paintings (Reply)

Naturevolume 444pagesE10E11 (2006) | Download Citation



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.

Access optionsAccess options

Rent or Buy article

Get time limited or full article access on ReadCube.


All prices are NET prices.


  1. 1

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

  2. 2

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

  3. 3

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

  4. 4

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

  5. 5

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

  6. 6

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

  7. 7

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

  8. 8

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

  9. 9

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

  10. 10

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

  11. 11

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

  12. 12

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

Download references

Author information


  1. Physics Department, University of Oregon, Eugene, 97403, Oregon, USA

    • R. P. Taylor
  2. School of Physics, University of New South Wales, Sydney, 2052, New South Wales, Australia

    • A. P. Micolich
    •  & D. Jonas


  1. Search for R. P. Taylor in:

  2. Search for A. P. Micolich in:

  3. Search for D. Jonas in:

Corresponding author

Correspondence to R. P. Taylor.

About this article

Publication history


Issue Date



By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.