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African Fractals: Modern Computing and Indigenous Design [Paperback]

Ron Eglash (Author)
4.8 out of 5 stars  See all reviews (8 customer reviews)

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Book Description

March 1, 1999 0813526140 978-0813526140
Fractals are characterized by the repetition of similar patterns at ever-diminishing scales. Fractal geometry has emerged as one of the most exciting frontiers on the border between mathematics and information technology and can be seen in many of the swirling patterns produced by computer graphics. It has become a new tool for modeling in biology, geology, and other natural sciences.

Anthropologists have observed that the patterns produced in different cultures can be characterized by specific design themes. In Europe and America, we often see cities laid out in a grid pattern of straight streets and right-angle corners. In contrast, traditional African settlements tend to use fractal structure--circles of circles of circular dwellings, rectangular walls enclosing ever-smaller rectangles, and streets in which broad avenues branch down to tiny footpaths with striking geometric repetition. These indigenous fractals are not limited to architecture; their recursive patterns echo throughout many disparate African designs and knowledge systems.

Drawing on interviews with African designers, artists, and scientists, Ron Eglash investigates fractals in African architecture, traditional hairstyling, textiles, sculpture, painting, carving, metalwork, religion, games, practical craft, quantitative technologies, and symbolic systems. He also examines the political and social implications of the existence of African fractal geometry. His book makes a unique contribution to the study of mathematics, African culture, anthropology, and computer simulations.


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Product Details

  • Paperback: 272 pages
  • Publisher: Rutgers University Press (March 1, 1999)
  • Language: English
  • ISBN-10: 0813526140
  • ISBN-13: 978-0813526140
  • Product Dimensions: 9.8 x 6.8 x 0.8 inches
  • Shipping Weight: 1.2 pounds (View shipping rates and policies)
  • Average Customer Review: 4.8 out of 5 stars  See all reviews (8 customer reviews)
  • Amazon Best Sellers Rank: #243,197 in Books (See Top 100 in Books)

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Customer Reviews

8 Reviews
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Average Customer Review
4.8 out of 5 stars (8 customer reviews)
 
 
 
 
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8 of 9 people found the following review helpful:
5.0 out of 5 stars a good introduction to African mathematics and fractal geometry, June 27, 2008
This review is from: African Fractals: Modern Computing and Indigenous Design (Paperback)
This book starts out with a presentation of fractal geometry which is very comprehensible and enjoyable. Next it covers specific aspects of fractal geometry and their relation to African society, architecture, fashion, art, divination and games. This part of the book is very fascinating. I learned a lot about how recursion works and how it is used in African buildings and fashions in the chapter on recursion. Other chapters in this section are Geometric algorithms, Scaling, Numeric systems, Infinity and Complexity. They are all very interesting. The final section is on the implications of the fact that Africans used this kind of mathematics. The author emphasizes the application of African fractal geometry to education especially the education of African Americans who sometimes feel alienated from math classes which focus on the achievements of European peoples. One thing that the author stresses is that the fractal designs of, say city planning, made by African peoples are not more "natural" than the Western approach of dividing cities into rectangles. He says this assumption dovetails into a preconception of African societies as being somehow closer to nature and therefore unsophisticated. The author points out that fractal mathematics is hardly simple and also not easily intuited either. I did not find myself making this assumption but apparently some people do fall into this trap. Anyway, I highly recommend this book to anyone wanting an introduction, with applications, to fractal geometry and its use in African societies. I also recommend this book to educators looking for a way to get their students, regardless of their background, to be more interested in mathematics.
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13 of 17 people found the following review helpful:
5.0 out of 5 stars An ingenious first, recognition of 'African' Maths., June 7, 1999
By A Customer
This review is from: African Fractals: Modern Computing and Indigenous Design (Paperback)
This is a brilliant book. As an Architect, I was truly enlightened by the idea of the 'other' culture(s), having a valid scientific basis in fact. I was always told in Architectural school that the 'Africans',(including those in the diaspora) were a peoples without and writing systems, technological background and no culture. I'm glad to see evidence that this is not the truth. I thank the author for his contribution.
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3 of 3 people found the following review helpful:
5.0 out of 5 stars Former Student, June 14, 2010
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I had Ron Eglash as a professor at Rensselaer Polytechnic Institute. Discussing and analyzing aspects of this book, including self-organization in general, was very interesting and valuable to say the least. The book makes no assumptions in knowledge and will cleanly bring in the topic of fractals in african culture. I had read the book the winter break before taking the course and had no difficulty understanding the material even as a freshman. The concept is quite intriguing and shatters many of the held perceptions of "the hierarchy of mathematics." Ron Eglash is a great man and I know he loves talking with people that share similar interests in mathematics or cybernetics.
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Inside This Book (learn more)
First Sentence:
Fractal geometry has emerged as one of the most exciting frontiers in the fusion between mathematics and information technology. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
organic romanticism, fractal architecture, mathematical anthropology, king smoking, scaling circles, fractal simulation, adaptive scaling, participant simulation, ruler size, settlement architecture, passive lines, nonlinear scaling, scaling designs, seed shape, scaling patterns, linear spiral, architectural diagram, numeric systems, fractal designs, fractal geometry, indigenous knowledge systems, logarithmic spirals, recursive loop, active lines
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Native American, African American, Georg Cantor, South Pacific, Benoit Mandelbrot, Burkina Faso, North African, United States, American Museum of Natural History, Benjamin Banneker, Liber Abaci, Pacific Northwest, West African, Georg Gerster, Helge von Koch, Hermes Trismegestus, Metropolitan Museum of Art, William Fagg
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