Is the geometry of nature fractal?

Science

Volumn 279, Issue 5347, 1998, Pages 39-40

  Avnir, David ^a   Biham, Ofer ^a   Lidar, Daniel ^a,b   Malcai, Ofer ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRY; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; SHORT SURVEY;

EID: 0032472261     PISSN: 00368075     EISSN: None     Source Type: Journal    
DOI: 10.1126/science.279.5347.39     Document Type: Short Survey

References (7)

1. M. Marder, Science 277, 647 (1997).
2. R. V. Kalia et al., Phys. Rev. Lett. 78, 2144 (1997).
3. For more detail, see O. Malcai et al., Phys. Rev. E 56, 2817 (1997).
4. Our earlier version of the histogram (3) had two cases with a range of 3.7 to 3.8 decades. It turns out that we were too "liberal" in our interpretation: One case was a deterministically built exact Koch fractal [B. Sapoval et al., ibid. 48, 3333 (1993)], and the other was described by the authors as representing "almost no deviations . . . for the first three decades" [T. Holten et al., ibid. 50, 754 (1994)].
5. Our earlier version of the histogram (3) had two cases with a range of 3.7 to 3.8 decades. It turns out that we were too "liberal" in our interpretation: One case was a deterministically built exact Koch fractal [B. Sapoval et al., ibid. 48, 3333 (1993)], and the other was described by the authors as representing "almost no deviations . . . for the first three decades" [T. Holten et al., ibid. 50, 754 (1994)].
6. For earlier critical analyses, see L. P. Kadanoff, Phys. Today 39, 6 (February 1986), and O. R. Shenker, Stud. Hist. Philos. Sci. 25, 967 (1994).
7. For earlier critical analyses, see L. P. Kadanoff, Phys. Today 39, 6 (February 1986), and O. R. Shenker, Stud. Hist. Philos. Sci. 25, 967 (1994).