Accession Number : AD0722022

Title :   Geography and the Properties of Surfaces. The Hexagon as a Spatial Average.

Descriptive Note : Interim rept.,

Corporate Author : HARVARD UNIV CAMBRIDGE MASS LAB FOR COMPUTER GRAPHICS AND SPATIAL ANALYSIS

Personal Author(s) : Woldenberg,Michael J.

Report Date : 15 OCT 1970

Pagination or Media Count : 28

Abstract : 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 Euler's law. The most if not all commonly occurring natural networks have three-edged corners, the polygons tend to be hexagons. (Author)

Descriptors :   (*GEOGRAPHY, GRAPHICS), (*RIVERS, MATHEMATICAL MODELS), HYDRAULIC MODELS, NETWORKS, SURFACES

Subject Categories : Hydrology, Limnology and Potamology

Distribution Statement : APPROVED FOR PUBLIC RELEASE