Generative Modelling with Timed L-Systems

Abstract

This paper describes a generative design system based on timed, parametric Lindenmayer systems (L-systems), developed for the continuous modeling of dynamic phenomena such as morphogenesis. The specification of development functions gives the system the ability to continuously control temporal aspects of development in conjunction with the discrete rewriting for which L-systems are commonly associated. Incorporating advanced modeling extensions, such as generalized cylinders, into the interpretation of derived strings gives the system the ability to model complex shapes and forms. Examples in the design and simulation of mechanical models, plant morphogenesis and the animation of animal gaits are provide as an insight into the flexibility provided by the system.