gizaf4

This is a fractal pyramid, formed of 30 hollow square pyramids with the dimensions of the pyramid at Giza: if the base coordinates are at (1,1),(1,-1), (-1,1), (1,1), then the slant height (along the face from the center of the base to the top) is the golden ratio, phi, 1.618...; and the height is Sqrt[phi^2-1]=Sqrt[phi].  The base of this fractal pyramid has an edge of 63 6 mm, and the faces are 1 mm thick. It is a kind of "Sierpinski gasket" in 3D, using the Giza pyramid as the original  form.