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The Fractal Dimension of Architecture

  • Michael J. Ostwald
  • Josephine Vaughan

Part of the Mathematics and the Built Environment book series (MABE, volume 1)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Michael J. Ostwald, Josephine Vaughan
    Pages 1-18
  3. Understanding and Measuring Fractal Dimensions

    1. Front Matter
      Pages 19-19
    2. Michael J. Ostwald, Josephine Vaughan
      Pages 21-37
    3. Michael J. Ostwald, Josephine Vaughan
      Pages 39-66
    4. Michael J. Ostwald, Josephine Vaughan
      Pages 67-85
    5. Michael J. Ostwald, Josephine Vaughan
      Pages 87-131
  4. Analysing Architecture

    1. Front Matter
      Pages 133-133
    2. Michael J. Ostwald, Josephine Vaughan
      Pages 135-157
    3. Michael J. Ostwald, Josephine Vaughan
      Pages 159-204
    4. Michael J. Ostwald, Josephine Vaughan
      Pages 205-242
    5. Michael J. Ostwald, Josephine Vaughan
      Pages 243-281
    6. Michael J. Ostwald, Josephine Vaughan
      Pages 283-311
    7. Michael J. Ostwald, Josephine Vaughan
      Pages 313-368
    8. Michael J. Ostwald, Josephine Vaughan
      Pages 369-397
  5. Back Matter
    Pages 399-423

About this book

Introduction

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.

Keywords

Architecture Fractals Fractal Dimensions Fractal Analysis Design Computing Design Analysis Le Corbusier Eileen Gray Mies van der Rohe Frank Lloyd Wright Robert Venturi Denise Scott Brown Frank Gehry Peter Eisenman Richard Meier John Hejduk Atelier Bow-Wow Kazuyo Sejima Glenn Murcutt

Authors and affiliations

  • Michael J. Ostwald
    • 1
  • Josephine Vaughan
    • 2
  1. 1.The University of NewcastleCallaghanAustralia
  2. 2.Sch Architecture & Built EnvtUniv of NewcastleCallaghanAustralia

Bibliographic information

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