Building 3D fractals on a nanoscale:

http://www.sciencedaily.com/releases/2013/05/130531103920.htm

Building 3D fractals on a nanoscale:

“A major advantage of a 3D fractal is that the effective surface rises with every next step. Looking at the octahedra, after four steps the final structure is not much bigger than the original octahedron, but the effective surface has been multiplied by 6.5.”