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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
Stable URL: http://www.jstor.org/stable/490419
Page Count: 6
You can always find the topics here!Topics: Fractals, Mathematical sequences, Curves, Mathematical lattices, Mathematical procedures, Geometry, Hexagons, Geography, Mathematical problems, News content
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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.
Geografiska Annaler. Series B, Human Geography © 1985 Swedish Society for Anthropology and Geography