THE THEORY OF PLANIGONS (TEORIIA PLANIGONOV),
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1963
- Accession Number
- AD0429725
Entities
People
- B. N. Delaunay
- Richard M. Holden
Organizations
- Emmanuel College