Geography and the Properties of Surfaces. The Hexagon as a Spatial Average.
HARVARD UNIV CAMBRIDGE MASS LAB FOR COMPUTER GRAPHICS AND SPATIAL ANALYSIS
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The paper demonstrates that river basin areas and central place market areas tend to be hexagonal. River basins are bounded by ridge lines which meet three at a corner. Few ridge lines cannot define a corner, and more ridge lines are improbable. The nomenclature of river basins following Warntz 1968 and Schumm 1956 is extended. Market areas also must have three-edge corners. Graustein 1932 showed that large networks with three-edged corners must tend to have six sides per polygon, a relation that follows from Eulers law. The most if not all commonly occurring natural networks have three-edged corners, the polygons tend to be hexagons. Author
- Hydrology, Limnology and Potamology