The Fractals at the Heart of African Designs

Speaker: Ron Eglash

• Ethno-mathematician
• Studies the intersection of math and culture

Key Concepts

Introduction to Fractals

• Fractals are complex geometric shapes that can be split into parts, each of which is a reduced-scale copy of the whole.
• Found in natural phenomena such as snowflakes, mountain ranges, lightning bolts, and various plants.

Fractals in African Designs

• Many African designs in architecture, art, and even hair braiding are based on fractal patterns.
• Eglash's research journey began with the observation of fractal patterns in African villages.

Research Methodology

• Eglash approached African communities with the request, "I am a mathematician, and I would like to stand on your roof," to study the fractal layouts of villages.
• Utilized ethnographic methods and mathematics to analyze design patterns.

Cultural Significance

• Fractals are not just a mathematical concept but are deeply rooted in African cultural practices.
• Exhibits how traditional knowledge systems incorporate complex mathematical thinking.

Applications and Implications

• Encourages a re-evaluation of how indigenous knowledge can contribute to modern scientific and mathematical understanding.
• Highlights the importance of recognizing and respecting the intellectual achievements of non-Western cultures.

Further Reading & Resources

• African Fractals by Ron Eglash - A book exploring the detailed connections between African practices and fractal geometry.
• Eglash's Website - Offers more information on fractals and their influence on African culture and architecture.

Related Topics

• Culture
• Technology
• Design
• Architecture
• Math

This talk was presented at TEDGlobal 2007. It emphasizes the intersection of mathematics and culture, specifically looking at fractal patterns in African designs and how they reflect complex intellectual traditions.