
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 twodimensional 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