Article ID: CBB705265633

Fractals and the Korcak-Law: A History and a Correction (2016)

unapi

The Korcak-law – first presented in an empirical form in 1938 to describe the size-distribution of various geographical objects, including lakes and islands by Jaromír Korčák – was one of the examples used by Benoit Mandelbrot to show that fractals are not only mathematical monsters, but that they are applicable to describe many natural objects and phenomena too. In this paper, we would like to give a brief overview about the history of the Korcak-law and its connection to other similar rules. Moreover, we would like to show, that although there are similarities between fractal-related laws and the Korcak-law, the Korcak-exponent is not directly related to fractal dimension. In this sense, the measure introduced by Benoit Mandelbrot based on Korčák’s empirical findings is not a fractal measure.

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Authors & Contributors
Moser, Desmond E.
Farhad Tehrani
Charles DePaolo
Mohammad Mashayekhi
Michael J. Ostwald
Thomas Goetz
Concepts
Fractals
Disease and diseases
Biographies
Science and art
Mathematics
Mathematics and its relationship to science
Time Periods
20th century, early
19th century
20th century
Modern
Renaissance
Enlightenment
Places
Republic of China (1912-1949)
England
United States
Germany
France
China
Institutions
Chongqing No. 3 Children's Home
Henry Lester Institute of Medical Research
Cambridge University
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