The study of design languages as a research theme in architecture, urbanism, and design centers around the exploration and development of formal systems that can generate and organize architectural and urban forms. Two key methods used in this field of study are parametric models and shape grammar, which can be used to describe existing languages and explore a solution space.

Parametric models are a powerful tool for describing and analyzing existing design languages. They allow for the creation of numerous variations of a design based on certain parameters, such as site conditions, zoning laws, and building codes. By using parametric models, researchers can identify recurring patterns and design principles in existing languages, and develop a deeper understanding of the underlying design constraints and principles. Shape grammar, another method used in the study of design languages, is a formal system for generating and analyzing architectural forms. It allows for the exploration of the relationships between form, function, and context in architectural designs, and can aid in identifying recurring patterns and design principles.

These formal systems can also be used to explore the solution space of a design problem. By generating a wide range of design options based on a set of design constraints and goals, parametric models and shape grammar can help architects, urban planners, and designers find new and innovative solutions to design problems. The study of design languages is a vital research theme as it can lead to the development of new design languages that can shape the future of the built environment.