Fractal Analysis: Revisiting Pollock's drip paintings (Reply)

@article{Taylor2006FractalAR,
  title={Fractal Analysis: Revisiting Pollock's drip paintings (Reply)},
  author={R. P. Taylor and Adam P. Micolich and David Jonas},
  journal={Nature},
  year={2006},
  volume={444},
  pages={E10-E11}
}
Replying to: K. Jones-Smith & H. Mathur replyOur use of the term 'fractal' is consistent with that by the research community. In dismissing Pollock's fractals because of their limited magnification range, Jones-Smith and Mathur would also dismiss half the published investigations of physical fractals. On the basis of previous debates on limited-range fractals, a fractal description is particularly appropriate for Pollock's patterns because it is physically reasonable and because it is useful… Expand

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References

SHOWING 1-10 OF 13 REFERENCES
Fractal Analysis: Revisiting Pollock's drip paintings
TLDR
This work investigates the contentions that Jackson Pollock's drip paintings are fractals produced by the artist's Lévy distributed motion and that fractal analysis may be used to authenticate works of uncertain provenance and finds that the paintings exhibit fractal characteristics over too small a range to be usefully considered as fractal. Expand
Fractal analysis of Pollock's drip paintings
Scientific objectivity proves to be an essential tool for determining the fundamental content of the abstract paintings produced by Jackson Pollock in the late 1940s. Pollock dripped paint from a canExpand
Is the Geometry of Nature Fractal?
Ofer BihamDaniel LidarOfer Malcai After fractals were first described in the 1970s, experimental researchers embraced them as a way to describe complex structures in nature. But is the worldExpand
Fractal Geometry of Nature
TLDR
This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right. Expand
Is Nature Fractal?
David Avnir et al. ( Science 's Compass, 2 Jan., [p. 39][1]) report on the high proportion of hasty claims of fractality in Physical Review journals and end by saying that “[t]his is the fractalExpand
Quantifying Aesthetic Preference for Chaotic Patterns
Art and nature provide much of their aesthetic appeal from a balance of simplicity and complexity, and order and unpredictability. Recently, complex natural patterns have been produced by simpleExpand
Multifractal structure in nonrepresentational art.
TLDR
The data suggest that the "edge" method can distinguish between artists in the same movement and is proposed to represent a toy model of visual discrimination. Expand
Fractal physiology
The nature of fractals and the use of fractals instead of classical scaling concepts to describe the irregular surfaces, structures, and processes exhibited by physiological systems are described.Expand
Fractal dynamics of human gait: stability of long-range correlations in stride interval fluctuations.
TLDR
The fractal dynamics of spontaneous stride interval are normally quite robust and intrinsic to the locomotor system, and this fractal property of neural output may be related to the higher nervous centers responsible for the control of walking rhythm. Expand
The Limited Scaling Range of Empirical Fractals
The notion of the abundance of fractals is critically re-examined in light of surprising data regarding the scaling range in empirical reports on fractality.
...
1
2
...