Generative Algorithm is a design method, we use code(algorithm and maths process) to create some rules for static, moving or interactive “object”. We can use iteration, conditions, noise, random, mapping, agent, repetition, recursion, ..a lot of rules.
Generative Algorithms is an algorithms creates on order to evolve by himself, based on the evolution rules. Two objects can meet and create an third object with its proper rules based on the two parents rules. Maybe like cellular automata.