Likam Kyanzaire writes:

Ron Eglash was not looking for a revolution when he stumbled across one. The American ethnomathematician, who tracks mathematics embedded in culture, was studying African settlement patterns in the 1980s when he noticed something strange in aerial photographs and village layouts. The settlements weren’t laid out randomly. They had a pattern – and not just any pattern. The same shape seemed to repeat at every scale: a cluster of homes that echoed the arrangement of a larger compound, which in turn echoed the wider settlement beyond it. It was, he would later realise, a fractal – a geometric form in which the same structure recurs from the smallest unit to the largest. No mathematician had drawn it. It had been made by people building homes, compounds and villages according to rules they understood through practice.

That discovery sent Eglash across the continent. What he found – in settlement layouts, in art, and in political life – was that fractal organisation wasn’t an accident of African design. In many cases it was intentional.

One of the clearest architectural examples appears in Logone-Birni, in Cameroon, which Eglash explicitly calls a fractal settlement. There, the palace of the chief and the rest of the city is built from forms repeating at every scale: nested rectangles repeat the same pattern at different levels. The point is not just visual elegance. The geometry helps organise social life. As one moves inward through the palace, behaviour changes, hierarchy intensifies, and space itself encodes rank. In other African settlements, the same recursive logic appears in different forms. In southern Zambia, for example, family enclosures are arranged as rings within rings, so that the settlement as a whole mirrors the structure of its parts.

What fractal geometry makes visible in these settlements is a broader principle: large, complex forms can emerge from smaller units without requiring every decision to come from a single centre. That principle matters not only for architecture, but for politics and economics as well. [Continue reading…]