Accession Number : AD0653464

Title :   GEOGRAPHY AND THE PROPERTIES OF SURFACES. CONCEPTS AND APPLICATIONS-SPATIAL ORDER.

Corporate Author : HARVARD UNIV CAMBRIDGE MASS LAB FOR COMPUTER GRAPHICS

Personal Author(s) : Warntz,William ; Woldenberg,Michael

Report Date : 16 MAY 1967

Pagination or Media Count : 195

Abstract : Contents: Part I: Demonstration of a general property of closed surfaces; An additional graphical portrayal; Contour lines; Varying the contour interval and singular points; Singular points and lines; Hill and dales and territories; Surfaces and the mathematical functions of three variables; Multiple passes and pales; Hill, dales, territories and general topological considerations; The indicatrix; Surfaces, flows, and dimensions; Part II: Exponential and allometric growth as most probable states for open systems; On the ordering of tree-like course lines on surfaces; The example of the river; On the ordering of tree-like course lines on surfaces: The example of mountain glaciers; On the ordering of points in areas: The example of a central place system for human activities; On the similarities and differences between tree-like and web-like open systems; A theory of geomorphic cyclical evolution based on the graded profile; The potential of population surface and flows; Fronts in the atmosphere and hydrosphere and other discontinuities.

Descriptors :   (*GEOGRAPHY, THEORY), (*MAPPING, MATHEMATICAL ANALYSIS), TOPOLOGY, GEOMETRY, TERRAIN, GRAPHICS, SURFACES, RIVERS, GLACIERS

Subject Categories : Cartography and Aerial Photography
      Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE