Accession Number : AD0726403

Title :   Geography and the Properties of Surfaces. The Sandwich Theorem - A Basic One for Geography.

Descriptive Note : Interim rept.,

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

Personal Author(s) : Warntz,William ; Lindgren,C. Ernesto S. ; Kiernan,Katherine ; Bonfiglioli,Luisa ; Lozano,Eduardo

Report Date : 30 JUN 1971

Pagination or Media Count : 71

Abstract : The Sandwich Theorem is a fundamental one for Geography. It provides the limiting conditions concerning spatial partitioning. As a theorem it provides information concerning the existence of solutions but not analytical means for finding them. This paper provides geometrical inter- pretations of the nature of the Sandwich Theorem and its relationship to Geography and provides an algorithm and a complete program to achieve 'solutions.' Also included is a translation of one work of Hugo Steinhaus. (Author)

Descriptors :   (*GEOMETRY, THEOREMS), (*GEOGRAPHY, SURFACES), COMPUTER PROGRAMS, GRAPHICS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE