Abstract
Few recently developed quantitative approaches have enlivened the sciences as much as fractal geometry (Mandelbrot 1982) and related topics of scaling and universality (Stanley et al. 1996). The classic example of a fractal is a coastline, which by virtue of curves and crenulations, is a very jagged line weaving over the planar surface of the globe, thereby creating an object that is too crooked to be a one-dimensional line, but too straight to completely fill the plane. Moreover, magnification of a small part of the coastline reveals yet greater detail because the part is essentially a shrunken version of the whole. Thus, a coastline is neither one nor two dimensional because ruggedness occurs at many scales. Rather, coastlines have dimensions between 1 and 2; they are fractal.
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Milne, B.T., Johnson, A.R., Matyk, S. (1999). ClaraT: Instructional Software for Fractal Pattern Generation and Analysis. In: Klopatek, J.M., Gardner, R.H. (eds) Landscape Ecological Analysis. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0529-6_14
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DOI: https://doi.org/10.1007/978-1-4612-0529-6_14
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