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Fractals Take a Central Place

Sandra Lach Arlinghaus
Geografiska Annaler. Series B, Human Geography
Vol. 67, No. 2 (1985), pp. 83-88
Published by: Wiley on behalf of the Swedish Society for Anthropology and Geography
DOI: 10.2307/490419
Stable URL: http://www.jstor.org/stable/490419
Page Count: 6
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Fractals Take a Central Place
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Abstract

The geometry of central place theory is shown to be a (small) proper subset of the geometry of fractal curves: curves of fractional dimension which have only recently been displayed in a graphically provocative manner as computer-generated images (Mandelbrot 1977; 1983). The exact procedure for making this correspondence between a theory from economics and geography with one from pure mathematics is displayed in the text. It lends itself to replication by hand or by machine. As is usual with alignments of this sort, a wide variety of related projects follows naturally; some of these are indicated at appropriate points in the text.

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