Electronic Geometry
Author(s): Sandra Lach Arlinghaus
Source: Geographical Review, Vol. 83, No. 2, (Apr., 1993), pp. 160-169
Published by: American Geographical Society
Stable URL: http://www.jstor.org/stable/215254


A fractal approach to classical central-place theory is recast in terms of hierarchies of square trade areas. Infinite central-place hierarchies of squares or hexagons can be assigned fractional dimensions according to the extent to which they fill space. The fractional dimensions of hexagonal hierarchies are in all cases less than the square counterparts. When these geometries are interpreted electronically, in terms of square or hexagonal pixels, a higher degree of picture resolution on a cathode-ray tube is possible with a hexagonal lattice than with a square one, especially when pixel boundaries permit some transmission of content.

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