CELL-WORK OL-SYSTEMS WITH FINS

摘要

Cell-works which are three-dimensional cyclic edge-label controlled OL-systems, were introduced by Lindenmayer. Fracchia and Prusinkiewicz provided cell-work systems using markers to model three-dimensional cellular structures. In this paper, cell-work systems with fins are proposed, generalizing the notion of map with handles. We allow each cell of a cell-work to divide into finitely many cells at any instant of time. This generalization enables us to describe three-dimensional images and fractals. A comparison of various systems with the system introduced in this paper is made.