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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.
|Ch. 1||Introduction to fractal geometry||3|
|Ch. 2||Fractals in African settlement architecture||20|
|Ch. 3||Fractals in cross-cultural comparison||39|
|Ch. 4||Intention and invention in design||49|
|Pt. II||African fractal mathematics|
|Ch. 5||Geometric algorithms||61|
|Ch. 7||Numeric systems||86|
|Ch. 11||Theoretical frameworks in cultural studies of knowledge||179|
|Ch. 12||The politics of African fractals||192|
|Ch. 13||Fractals in the European history of mathematics||203|
|Ch. 14||Futures for African fractals||216|
|App||Measuring the fractal dimension of African settlement architecture||231|