Überlagerung von periodischen Strukturen

Abstract

This paper deals with the superposition of periodical structures. A structure is a space or time filled with discrete objects. It is periodical if there exist translations mapping the structure on itself. Only structures in a two-dimensional space are regarded. The main part investigates the plane isometric features of those superpositions. Single periodical structures as well as double periodical structures are considered. Another issue is the relation between superpositions and tilings. The technical applications of periodical structures eg in printing are also discussed. The last chapter looks on patterns similar to the superposition of periodical structures first in nature and then by mathematical methods.