Fractals and the birth of Gothic: Reflections on the biologic basis of creativity

Molecular Psychiatry

Volumn 1, Issue 2, 1996, Pages 99-104

  Goldberger, A L ^a  

^a BETH ISRAEL DEACONESS MEDICAL CENTER   (United States)

Author keywords

Creativity; Fractals; Gothic art; Neurobiology; Nonlinear dynamics

Indexed keywords

CREATIVITY; FRACTAL ANALYSIS; HUMAN; NONLINEAR SYSTEM; REVIEW;

CREATIVENESS; FRACTALS; HUMANS; NONLINEAR DYNAMICS;

EID: 0030133627     PISSN: 13594184     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (33)

1. Janson HW. History of Art, 2nd edn. Prentice-Hall: Englewood Cliffs, NJ, 1977.
2. Zevi B. Architecture as Space: How to Look at Architecture. Da Capo Press: New York, 1983.
3. Panofsky-Soergel G. Abbot Suger: On the Abbey Church of St Denis and its Art Treasures. Princeton University Press: Princeton, NJ, 1979.
4. Erlande-Brandenburg A. Gothic Art. Translated by IM Paris, Harry N Abrams: New York, 1989.
5. Wilson KG. Problems in physics with many scales of length. Sci Am 1979; 241: 158-179.
6. Dyson FJ. Characterizing irregularity. Science 1978; 200: 677-678.
7. Mandelbrot BB. The Fractal Geometry of Nature. Freeman: New York, 1982.
8. Goldberger AL, Rigney DR, West BJ. Chaos and fractals in human physiology. Sci Am 1990; 262: 42-49.
9. Bunde A, Havlin S (eds). Fractals in Science. Springer-Verlag: Berlin, 1994.
10. Guyon E, Stanley HE (eds). Fractal Forms. Elsevier/North-Holland: Haarlem, The Netherlands and Palais de la Découverte, 1991.
11. West BJ, Goldberger AE. Physiology in fractal dimensions. Am Scientist 1987; 75: 354-365.
12. Bassingthwaighte JB, Liebovitch ES, West BJ. Fractal Physiology. Oxford University Press: New York, 1994.
13. Peng C-K, Buldyrev S, Goldberger A, Havlin S, Sciortino F, Simons M, Stanley HE. Long-range correlations in nucleotide sequences. Nature 1992; 356: 168-171.
14. Buldyrev SV, Goldberger AE, Havlin S, Peng C-K, Simons M, Stanley HE. Generalized Lévy walk model for DNA nucleotide sequences. Phys Rev E 1993; 47: 4514-4523.
15. Buldyrev SV, Goldberger AL, Havlin S, Peng C-K, Stanley HE, Stanley MHR, Simons M. Fractal landscapes and molecular evolution: modeling the myosin heavy chain gene family. Biophys J 1993; 65: 2673-2679.
16. Ossadnik SM, Buldyrev SV, Goldberger AL, Havlin S, Mantegna RN, Peng C-K, Simons M, Stanley HE. Correlation approach to identify coding regions in DNA sequences. Biophys J 1994; 67: 64-70.
17. α spectrum in a noncoding DNA sequence. Europhys Lett 1992; 17: 655-660.
18. Arneodo A, Bacry E, Graves PV, Muzy JF. Characterizing long-range correlations in DNA sequences from wavelet analysis. Phys Rev Lett 1995; 74: 3293-3296.
19. Teich MC. Fractal character of this auditory neural spike. IEEE Trans Biomed Eng 1989; 36: 150-160.
20. Peng C-K, Havlin S, Stanley HE, Goldberger AL. Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. Chaos 1995; 5: 82-87.
21. Peng C-K, Mietus J, Hausdorff JM, Havlin S, Stanley HE, Goldberger AL. Long-range anti-correlations and non-Gaussian behavior of the heartbeat. Phys Rev Lett 1993; 70: 1343-1346.
22. Peng C-K, Buldyrev SV, Hausdorff JM, Havlin S, Mietus J, Simons M, Stanley HE, Goldberger AL. Non-equilibrium dynamics as an indispensable characteristic of a healthy biological system. Integr Physiol Behav Sci 1994; 29: 283-293.
23. Hausdorff JM, Peng C-K, Ladin Z, Wei JY, Goldberger AL. Is walking a random walk? Evidence for long-range correlations in stride interval of human gait. J Appl Physiol 1995; 78: 349-358.
24. Goldberger AL, Peng C-K, Goldberger ZD, Trunfio PA. Liner notes to Heartsongs: Musical Mappings of the Heartbeat by Zach Davids, Ivory Moon Recordings, Wellesley, MA, 1995.
25. Bak P, Tang C, Wiesenfeld K. Self-organized criticality: an explanation of 1/f noise. Phys Rev Lett 1987, 59: 381-384.
26. Engel P. Origami: the mathematician's art. Discover 1988; 9: 54-61.
27. Peck A. American Quilts and Coverlets in the Metropolitan Museum of Art. Metropolitan Museum of Art and Dutton Studio Books: New York, 1990.
28. Shearer RR. Chaos theory and fractal geometry: their potential impact on the future of art. Leonardo 1992; 25: 143-152.
29. Freeman J. Mark Tansey. Chronicle Books: San Francisco, 1993.
30. Mantegna RN, Buldyrev SV, Goldberger AL, Havlin S, Peng C-K, Simons M, Stanley HE. Linguistic features of non-coding DNA sequences. Phys Lett Rev 1994; 73: 3169-3172.
31. Stanley HE, Buldyrev SV, Goldberger AL, Goldberger ZD, Havlin S, Ossadnik SM, Peng C-K, Simons M. Statistical mechanics in biology: how ubiquitous are long-range correlations? Physica A 1994; 250: 214-253.
32. Voss RF, Clark J. 1/f noise in music and speech. Nature 1975; 258: 317-318.
33. Field M, Golubitsky M. Symmetry in Chaos: a Search for Pattern in Mathematics, Art and Nature. Oxford University Press: Oxford, 1992.