This is a Unity3d game that generates a box fractal. Once generated, there is a custom input map to an Xbox controller that allows for manipulation of the different "generations" of fractals.
Controls:
L/R Triggers - Rotate generation selection
L/R Bumpers - Set local rotation direction
A - Translate generation away from center
B - Translate generation towards center
X - Reset generation position
Y - Reset generation rotation
L/R Joysticks - Rotate generation around global axis
Check out this short demo video to see what it looks like in action.