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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.
Info autore
Michael J. Ostwald is Professor and Dean of Architecture at the University of Newcastle (Australia). He has previously been a Professorial Research Fellow at Victoria University Wellington (New Zealand), a visiting Professor and Research Fellow at RMIT University, an Australian Research Council (ARC) Future Fellow at Newcastle and a visiting fellow at ANU, MIT, HKU and UCLA. Michael has a PhD in architectural history and theory and a DSc in design mathematics and computing. Under the auspices of the Byera Hadley international fellowship he completed postdoctoral research on geometry at the CCA (Montreal) and Harvard (Cambridge, USA). In 2016, the Australian Institute of Architects (AIA) awarded him the Neville Quarry Medal for Services to Architecture. Michael is Co-Editor-in-Chief of the Nexus Network Journal: Architecture and Mathematics (Springer) and on the editorial boards of ARQ (Cambridge) and Architectural Theory Review (Taylor and Francis). He is co-editor with Kim Williams of the two volume Architecture and Mathematics from Antiquity to the Future (Birkhäuser 2015) and co-author with Josephine Vaughan of The Fractal Dimension of Architecture (Birkhäuser 2016).
Michael J. Dawes has Bachelor degrees in Science (Architecture) and Construction Management and a Masters degree in Architecture. He is currently completing a PhD investigating Christopher Alexander's A Pattern Language. Since 2010 he has worked as a Research Associate and Academic at the University of Newcastle (Australia). His publications include refereed journal papers and chapters on graph theory, syntactical analysis and isovists. His research combines computational and mathematical analysis with architectural history and theory.
Riassunto
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.
Testo aggiuntivo
“This book is a case-study … displaying its strengths and weaknesses in testing hypotheses regarding the architecture of 85 homes from four continents designed by prominent architects between 1901 and the present day. … Mathematicians will enjoy reading the results of the application of the box-counting method … . the text is both well-written and remarkably error free … . Thank you, authors and editors!” (Joel Haack, MAA Reviews, February, 2018)
“The authors give valuable critical thoughts about a few sensitive problems that researchers face when they use fractal dimension for analyzing images. … 625 architectural plans and elevations (derived from the 85 buildings) are considered and interesting conclusions from the fractal and statistical analysis performed are brought to the reader's attention.” (Elena Hadzieva, Mathematical Reviews, September, 2018)
“It is written by experts who have published a lot on this particular subject on the boundary of architecture and mathematics. … this book is in the first place addressing architect students or researchers … . All the elements of the research methodology, hence also the fractal dimension, are clearly and extensively explained and motivated. Also the analysis of the results and conclusions are carefully described. So it is easy to read and understand for anyone interested in the topic.” (Adhemar Bultheel, European Mathematical Society, euro-math-soc.eu, December, 2016)
Relazione
"This book is a case-study ... displaying its strengths and weaknesses in testing hypotheses regarding the architecture of 85 homes from four continents designed by prominent architects between 1901 and the present day. ... Mathematicians will enjoy reading the results of the application of the box-counting method ... . the text is both well-written and remarkably error free ... . Thank you, authors and editors!" (Joel Haack, MAA Reviews, February, 2018)
"The authors give valuable critical thoughts about a few sensitive problems that researchers face when they use fractal dimension for analyzing images. ... 625 architectural plans and elevations (derived from the 85 buildings) are considered and interesting conclusions from the fractal and statistical analysis performed are brought to the reader's attention." (Elena Hadzieva, Mathematical Reviews, September, 2018)
"It is written by experts who have published a lot on this particular subject on the boundary of architecture and mathematics. ... this book is in the first place addressing architect students or researchers ... . All the elements of the research methodology, hence also the fractal dimension, are clearly and extensively explained and motivated. Also the analysis of the results and conclusions are carefully described. So it is easy to read and understand for anyone interested in the topic." (Adhemar Bultheel, European Mathematical Society, euro-math-soc.eu, December, 2016)
