Universal Aesthetic of Fractals
Inhaltsverzeichnis
Reference
Spehar, B., Clifford, C.W.G., Newell, B.R., Taylor, R.P.: Universal Aesthetic of Fractals. Computers & Graphics 27(5), 813–820 (2003)
DOI
http://dx.doi.org/10.1016/S0097-8493(03)00154-7
Abstract
Since their discovery by Mandelbrot (The Fractal Geometry of Nature, Freeman, New York, 1977), fractals have experienced considerable success in quantifying the complex structure exhibited by many natural patterns and have captured the imaginations of scientists and artists alike. With ever-widening appeal, they have been referred to both as “fingerprints of nature” (Nature 399 (1999) 422) and “the new aesthetics” (J. Hum. Psychol. 41 (2001) 59). Here, we show that humans display a consistent aesthetic preference across fractal images, regardless of whether these images are generated by nature's processes, by mathematics, or by the human hand.
Extended Abstract
Bibtex
Used References
[1] Mandelbrot BB. The fractal geometry of nature. New York: Freeman; 1977.
[2] Geake J, Landini G. Individual differences in the percep- tion of fractal curves. Fractals 1997;5:129–43.
[3] Pentland AP. Fractal-based description of natural scenes. IEEE Pattern Analysis and Machine Intelligence 1984;PAMI-6:661–74.
[4] Cutting JE, Garvin JJ. Fractal curves and complexity. Perception & Psychophysics 1987;42:365–70.
[5] Knill DC, Field D, Kersten D. Human discrimination of fractal images. Journal of the Optical Society of America 1990;77:1113–23.
[6] Gilden DL, Schmuckler MA, Clayton K. The perception of natural contour. Psychological Review 1993;100: 460–78.
[7] Mandelbrot BB. Fractals, an art for the sake of art. Leonardo 1989;(Suppl)7:21–4.
[8] Peitgen PO, Richter PH. The beauty of fractals: images of complex dynamic systems. New York: Springer; 1986.
[9] Kemp M. Attractive attractors. Nature 1998;394:627.
[10] Sprott JC. Automatic generation of strange attractors. Computer & Graphics 1993;17:325–32.
[11] Aks D, Sprott JC. Quantifying aesthetic preference for chaotic patterns. Empirical Studies of the Arts 1996;14: 1–16.
[12] Richards R. A new aesthetic for environmental awareness: chaos theory, the beauty of nature, and our broader humanistic identity. Journal of Humanistic Psychology 2001;41:59–95.
[13] Richards R, Kerr C. The fractals forms of nature: a resonant aesthetics. Paper presented at the Annual Meet- ing of the Society for Chaos Theory in Psychology and the Life Sciences, Berkeley, CA, 1999.
[14] Pickover C. Keys to infinity. New York: Wiley; 1995.
[15] Taylor RP, Micolich AP, Jonas D. Fractal analysis of Pollock’s drip paintings. Nature 1999;399:422.
[16] Avnir D. Is the geometry of nature fractal? Science 1998;279:39–40.
[17] Mandelbrot BB. Is nature fractal? Science 1998;279:783–4.
[18] Cohn J. Experimentelle Unterschungen uber die Gefuhls- betonung der Farben, Helligkeiten, und ihrer Combina- tionen. Philosphische Studien 1894;10:562–603.
[19] Feder J. Fractals. New York: Plenum; 1988.
[20] Louis E, Guinea F, Flores F. The fractal nature of fracture. In: Pietronero L, Tossati E, editors. Fractals in physics. Amsterdam: Elsevier Science; 1986.
[21] Cambel AB. Applied chaos theory: a paradigm for complexity. London: Academic Press; 1993.
[22] Morse DR, Larson JH, Dodson MM, Williamson MH. Fractal dimension of anthropoid body lengths. Nature 1985;315:731–3.
[23] Werner BT. Complexity in natural landform patterns. Science 1999;102:284.
[24] Lovejoy S. Area–perimeter relation for rain and cloud areas. Science 1982;216:185.
[25] Burrough PA. Fractal dimensions of landscapes and other environmental data. Nature 1981;295:240–2.
[26] Skjeltorp. Fracture experiments on monolayers of micro- spheres. In: Stanley HE, Ostrowsky N, editors. Random fluctuations and pattern growth. Dodrecht: Kluwer Aca- demic; 1988.
[27] Nittmann JH, Stanley HE. Non-deterministic approach to anisotropic growth patterns with continuously tunable morphology: the fractal properties of some real snow- flakes. Journal of Physics A 1987;20:L1185.
[28] Family F, Masters BR, Platt DE. Fractal pattern forma- tion in human retinal vessels. Physica D 1989;38:98.
[29] Matsushita M, Fukiwara H. Fractal growth and morpho- logical change in bacterial colony formation. In: Garcia- Ruiz JM, Louis E, Meaken P, Sander LM, editors. Growth patterns in physical sciences and biology. New York: Plenum Press; 1993.
[30] Niemeyer L, Pietronero L, Wiesmann HJ. Fractal dimen- sion of dielectric breakdown. Physical Review Letters 1984;53:1033.
[31] Chopard B, Hermann HJ, Vicsek T. Structure and growth mechanism of mineral dendrites. Nature 1991;309:409.
Links
Full Text
http://pages.uoregon.edu/msiuo/taylor/art/fractals.pdf