## Fractal Mountains

September 30, 2008 by root2squared

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?

Closeup of a gently sloped mountain

A Complete Mountain

A Scary Mountain

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