The Mathematics of Place: Measure and Geometry, in the Making of Habitat from Palladio to Van der Laan

Abstract This paper examines the role of mathematical order in the formation of the built environment and its influence on the creation of existential space. It traces theories of architectural proportion from the Renaissance to the 20th century, focusing on Leon Battista Alberti, Andrea Palladio, Le Corbusier, and Hans van der Laan. Classical approaches, grounded in the notion of universal harmony, are contrasted with modern perspectives that emphasise visual perception and its part in shaping habitable space. The central argument presents architecture as sub-creation – a creative continuation and complement of natural order. In the context of sustainable development, mathematical order is shown to be capable of integrating built form with landscape, producing environments that are perceptually legible and consonant with the deeper structures of nature.