Architecture and Mathematics from Antiquity to the Future

Volume II: The 1500s to the Future

  • Kim Williams
  • Michael J. Ostwald

Table of contents

  1. Front Matter
    Pages i-xix
  2. Theories of Representation

  3. 1500 a.d.–1900 a.d.

  4. 1800–2000

  5. Contemporary Approaches to Design and Analysis

  6. Theories and Applications of Computer Sciences

About this book


The aim of this collection of essays is to present a broad portrait of the ways in which two seemingly different disciplines are interconnected. The diversity and varied texture of the essays richly illustrates the affinity between architecture and mathematics. As the almost 100 papers presented in this two-volume publication show, every age and every culture has relied on principles of mathematics incorporated in their works of architecture to imbue their built environment with meaning and order. Included are discussions of geometry, proportional systems, linear algebra, periodic and aperiodic tilings, fractals, perspective, computer science and mechanics. Western architecture of every period is examined: Egyptian, Roman, Medieval, Renaissance, Baroque, Enlightenment, twentieth-century and beyond, as is the architecture of Turkey, China, India, Japan, Australia and Islam. The mathematical nature of the architecture of Leon Battista Alberti, Andrea Palladio and Frank Lloyd Wright is examined, and the philosophical background behind Renaissance architecture is explored. Contributors come from a wide range of disciplines and cultural backgrounds: architects, mathematicians, historians, theoreticians, scientists and educators from the world over. Architecture may be seen and understood in a new light, by professionals as well as non-professionals.


architecture and mathematics periodic and aperiodic tilings theories of proportion

Editors and affiliations

  • Kim Williams
    • 1
  • Michael J. Ostwald
    • 2
  1. 1.Kim Williams BooksTorinoItaly
  2. 2.School of Architecture and Built EnvironmentThe University of NewcastleCallaghanAustralia

Bibliographic information