Before revision: A new method of analyzing rule continuity in computations with shape grammars is presented. By building on recent results in topology for shapes in algebras U_i, the paper provides, (1) a general formulation of continuous rule applications based on the  continuity of the mappings that describe these rule applications, (2) conditions that a mapping must satisfy to be suitable for analyzing rule continuity , and (3) procedures for computing continuous topologies in a given computation .
After revision: The rules in a shape grammar apply in terms of embedding to take advantage of the parts that emerge visually in the continuity of the mappings that describe these rule applications, (2) conditions that a mapping must satisfy to be suitable for analyzing rule continuity , and (3) procedures for computing continuous topologies in a given computation .