Accession Number : AD0429725

Title :   THE THEORY OF PLANIGONS (TEORIIA PLANIGONOV),

Corporate Author : EMMANUEL COLL BOSTON MASS RESEARCH LANGUAGE CENTER

Personal Author(s) : Delaunay,B. N. ; Holden,Richard M.

Report Date : JUL 1963

Pagination or Media Count : 39

Abstract : Subdivisions of a plane into fundamental regions for two-dimensional Fedorov groups are studied, and all possible contiguity symbols are determined which set those motions by means of which a given fundamental region passes over into re gions contiguous to it. The work shows that the entire problem is combinatorially topological, and thus a new purely topological conclusion for twodimensional Fedorov groups is obtained. The following theorem is proved: There are only 11 (eleven) topologically different regular grids which satisfy the basic lemma of integral calculus. (Author)

Descriptors :   (*CRYSTAL STRUCTURE, THEORY), CRYSTAL LATTICES, SURFACES, GROUPS (MATHEMATICS), TOPOLOGY, SPHERES

Distribution Statement : APPROVED FOR PUBLIC RELEASE