Michael J. Ostwald

Mark Burry

Peter Downton

Andrea Mina

Modelling Architecture

Homo Faber

Kim Williams

Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order. Mathematics is also central to the production of architecture, to its methods of measurement, fabrication and analysis. This two-volume edited collection presents a detailed portrait of the ways in which two seemingly different disciplines are interconnected. Over almost 100 chapters it illustrates and examines the relationship between architecture and mathematics. Contributors of these chapters come from a wide range of disciplines and backgrounds: architects, mathematicians, historians, theoreticians, scientists and educators. Through this work, architecture may be seen and understood in a new light, by professionals as well as non-professionals. Volume II covers architecture from the Late Renaissance era, through Baroque, Ottoman, Enlightenment, Modern and contemporary styles and approaches. Key figures covered in this volume include Palladio, Michelangelo, Borromini, Sinan, Wren, Wright, Le Corbusier, Breuer, Niemeyer and Kahn. Mathematical themes which are considered include linear algebra, tiling and fractals and the geographic span of the volume’s content includes works in the United States of America and Australia, in addition to those in Europe and Asia.

Volume II: The 1500s to the Future

Architecture and Mathematics from Antiquity to the Future

Josephine Vaughan

Fractal analysis is a method for measuring, analysing and comparing the formal or geometric properties of complex objects. In this book it is used to investigate eighty-five buildings that have been designed by some of the twentieth-century’s most respected and celebrated architects. Including designs by Le Corbusier, Eileen Gray, Frank Lloyd Wright, Robert Venturi, Frank Gehry, Peter Eisenman, Richard Meier and Kazuyo Sejima amongst others, this book uses mathematics to analyse arguments and theories about some of the world’s most famous designs. Starting with 625 reconstructed architectural plans and elevations, and including more than 200 specially prepared views of famous buildings, this book presents the results of the largest mathematical study ever undertaken into architectural design and the largest single application of fractal analysis presented in any field. The data derived from this study is used to test three overarching hypotheses about social, stylistic and personal trends in design, along with five celebrated arguments about twentieth-century architecture. Through this process the book offers a unique mathematical insight into the history and theory of design.

The Fractal Dimension of Architecture

Ju Hyun Lee

Ning Gu

This book presents new ways of facilitating design thinking, through the combination of cognitive design strategies and information technologies. It provides readers with an in-depth understanding of the traditional and digital design processes and activities that are employed in architecture, computational design, communication design and graphic design. The book is divided into three parts: Part I, which focuses on creativity, uses evidence derived from empirical studies to develop an understanding of the way computational environments shape design thinking and may lead to more inventive outcomes. Part II considers the cognitive dimensions of design teams, crowds and collectives. It investigates the ways digital design platforms promote interactive and collective thinking. Lastly, Part III addresses culture, examining the linguistic and cultural context of the globalised design ecosystem. Providing valuable insights into design thinking, this book helps readers engage with their local and global environments. It will appeal to academics, researchers and professionals with an interest in understanding design thinking in the context of creativity, collaboration and culture.

Design Thinking: Creativity, Collaboration and Culture

Michael J. Ostwald

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