In Search of a Structure of Fractals by Using Membranes as Hyperedges

摘要

The internal structure of the iterations of Koch curve and Sierpiński gasket—the known fractals [4]—is described in terms of multihypergraphical membrane systems related to membrane structures [13] and whose membranes are hyperedges of multi-hypergraphs used to define gluing patterns for the components of the iterations of the considered fractals.