Modular: Organisms that grow by the repeated iteration of parts, e.g. the leaves, shoots and branches of a plant, the polyps of a coral or bryozoan. Modular organisms are almost always branched, though the connections between branches may separate or decay and the separated parts may in many cases then become physiologically independent (Begon et al., 2005).
Definition from: Begon M. Colin R. Townsend, John L. Harper, 2005. Ecology: From Individuals to Ecosystems, 4th Edition. Wiley-Blackwell