Ep 3. Ron Eglash on African Fractals

Ron Eglash, a mathematician and ethno-mathematician, takes us on a journey through the intriguing world of African fractals in this episode of TEDTalks: Numbers Speak Louder than Words. Eglash's fascination with the mathematical patterns found in African cultures led him to explore the underlying principles and structures that govern these patterns. He believes that African fractals offer a fresh perspective on the world of mathematics, and that they have much to teach us about the natural world and our place in it.

Eglash begins his talk by introducing us to some of the most iconic African fractals, such as the intricate designs found in African textiles and traditional masks. He explains that these patterns are created by repeating a simple, geometric motif over and over again, in a way that generates a complex, visually stunning fractal pattern. Eglash argues that these patterns are not just beautiful to look at; they are also deeply meaningful, and can offer insights into the cultural values and beliefs of the people who create them.

Eglash then delves deeper into the mathematical principles that underlie these patterns, revealing how they are based on a system of nested triangles and circles. He explains how this system generates a self-similar pattern that is repeated at different scales, just like a fractal. However, what makes African fractals unique is the way in which they deviate from the strict, mathematical rules that govern other types of fractals. Eglash argues that this deviation is intentional, and is a reflection of the complex, multifaceted nature of African culture.

Throughout his talk, Eglash shows us how African fractals can be applied to a wide range of fields, from architecture to computer science. He gives examples of how these patterns have been used to design sustainable homes that are inspired by traditional African building techniques, and how they have been used to improve the efficiency of computer algorithms. Eglash also highlights the importance of preserving and celebrating these patterns, which he believes are an important part of the cultural heritage of Africa.

Ultimately, Eglash's talk is a celebration of the beauty and complexity of African fractals, and a call for all of us to embrace a more diverse and inclusive approach to mathematics. He urges us to look beyond the traditional Western-centric view of mathematics, and to appreciate the many different ways in which mathematics can be expressed and used. Whether you are a mathematician or not, this episode of TEDTalks: Numbers Speak Louder than Words is sure to inspire you with its fascinating insights into the world of African fractals.