Fractals in African villages
Fractals are from the first look extremely complicated geometrical objects, that are popular in nowadays mathematics. Though people consider fractals to be complicated, very simple structure is usually behind the picture. Fractals are self-repeating, means the pattern is repeating no matter what is our scale.
You can see how one can use fractals in geography/geoinformatics for modeling 3D terrains (animation).
During TED conference 2007 in Tanzania Ron Eglash introduced his research about structures within African villages that are very similar to fractals.