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January 2000

MATHEMATICS:
Math in African culture


Fractal geometry—the geometry of similar shapes repeated on ever-shrinking scales—is apparent everywhere in Africa from hairstyles to religious practices, says new research by Ron Eglash, assistant professor of science and technology studies at Rensselaer Polytechnictechnic Institute.

Eglash thinks this discovery could be an effective new tool for teaching African-Americans about their mathematical heritage, and a new approach to integrating information technology with Third World development.

“One of the benefits of including indigenous mathematics in education is that it helps combat the worst forms of biological determinism—the myth that our thinking is limited by our racial genetics,” Eglash said. “And that’s a problem for all ethnic groups.”

Gloria Gilmer, an African-American math educator who runs the Milwaukee-based MathTech Inc., suggested Eglash focus on the geometry of black hairstyles as a good way to connect with contemporary African-American culture.

The hair style of this Yoruba girl serves as a fractal model that adapts the scaling of her braids to the non-linear contours of her head.


Eglash documents fractal patterns in cornrow hairstyles, weavings, architecture of African villages, and Santeria, the traditional religion of the Yoruba people of West Africa, as well as in many forms of African art.

His Web site (www.rpi.edu/~eglash/eglash.htm) includes an interactive Java simulation that allows students to explore fractal geometry in relation to cornrow hairstyles. Eglash hopes to eventually create a CD-ROM-based math lab that includes his African fractals material as well as African-American designs such as hairstyles, quilts, and other arts and crafts.

Eglash said fractal design themes reveal that traditional African mathematics may be much more complicated than previously thought. He documents his findings in a new book, African Fractals: Modern Computing and Indigenous Design, published by Rutgers University Press.

CONTACT: Theresa Bourgeois, (518) 276-2840, bourgt@rpi.edu

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