Fractals are geometric figures that are recursive. For the fractal mountains, we start with a single triangle. We then pick the mid-points of the 3 sides of these triangles, join them, and create 4 more triangles. Then we do the same for each of the 4 triangles. This recursion is the fractal part of the mountains. In order to make these triangles into a mountain, on each such division, we also raise the midpoint of the sides.
These are 3D models generated using only elementary mathematics and C++ code and then rendered using Maya.
Who says mathematics is not cool?