Constructing Geometric Regularity underlying Building Facades

Geometric regularity constitutes a basis for designers to initiate the formulation of building shapes and urban forms. For example, Le Corbusier considers the regulating line “an inevitable element of architecture” and uses it as a “means” for understanding and creating good designs. Thomas Beeby argues that the acquisition of knowledge on geometric construction plays a crucial role in the education of architecture design. This paper illustrates a computational approach to constructing the regularity of architectural geometry. The formal structure underlying a single façade and continuous façades are examined.