1.Introduction.- Part I: Understanding and Measuring Fractal Dimensions.- 2.Fractals in Architectural Design and Critique.- 3.Introducing the Box-Counting Method.- 4.Measuring Architecture.- 5.Refining and Understanding the Method.- Part II: Measuring Twentieth Century Architecture.- 6.Analysing the Form of the Twentieth Century House.- 7.The Rise of Modernity.- 8.Organic Design.- 9.Post-Modernism.- 10.Avant-Garde and Abstraction.- 11.Minimalism and Regionalism.- 12.Conclusion.- References.- Acknowledgments.
“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)
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