This work describes the exploration of a parametric system to generate variable designs of low-cost roof units with central support (called "tulips"). The units aim to cover out-door areas and are composed of commercial wood struts, digitally manufactured plates and a fabric cover to enable mass production and variations according to different structural, functional and climatic conditions. The development has combined topological analysis, genetic algorithms, parametric programming and digital fabrication to produce models and full-scale prototypes. This process suggests an approach to rationalizing design through mathematical analysis and digital implementation that supports flexible and quick elaboration. That example illustrates new methods of architectural design with early integration of technical studies and industrial production.