This is a 3D T-Square Fractal, which was rendered with Processing and looks like the Borg Cube from Star Trek.
This is analogous to the 2-D T-Square Fractal, but in 3 dimensions. It can be expanded to any higher number of dimensions.
For more on the T-Square Fractal, see the post on the 2-D version.
For more on the T-Square Fractal, see the post on the 2-D version.