African Fractals : Modern Computing and Indigenous Design

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African Fractals : Modern Computing and Indigenous Design

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  • 製本 Paperback:紙装版/ペーパーバック版／ページ数 258 p.
  • 言語 ENG
  • 商品コード 9780813526140
  • DDC分類 516.096

Full Description

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 structures-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 techniques, 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.

Contents

Contents

Acknowledgements 

Part I
1 Introduction to fractal geometry
2 Fractals in African settlement architecture
3 Fractals in cross-cultural comparison
4 Intention and invention in design

Part II
5 Geometric algorithms
6 Scaling
7 Numeric systems
8  Recursion
9 Infinity
10 Complexity

Part III
11 Theoretical frameworks in cultural studies of knowledge
12 The politics of African fractals
13 Fractals in the European history of mathematics
14 Futures of African fractals

Appendix 
Notes
References
Index