Architectural Morphospace: Mapping Worlds of Built Forms

A method is proposed for plotting the plans of a large variety of rectangular built forms across a two-dimensional ‘morphospace’ of possibilities. The plans are enumerated by means of a technique of binary coding, such that similar shapes are grouped within distinct areas of this morphospace. Some applications to a geometrical history of building types are sketched, with examples from 19th-century pavilion hospitals, English elementary schools, and early New York skyscrapers. The purpose is to provide classification of built forms, to understand their interrelationships in a systematic way, and to see how building types have followed characteristic ‘morphological trajectories’ through this space of forms. It is a tool with which to approach the history of architecture from a geometrical point of view. It is not primarily conceived as an aid to design: nevertheless the paper concludes with some brief speculations about possible implications for design methods, using genetic algorithms.