Parametric turner's cube

Yeah, yeah, it's been done before, but I decided to try my take on a turner's cube. This one lets you specify the size of the outermost cube and the minimum thickness of the "bridges" between the corners, and it will generate a turner's cube with the maximum number of levels possible for it. (Set the thickness to 0 if you want your computer to have a really bad day.)

Instructions

Probably completely unprintable unless you have a really good printer that supports dissolvable supports or something.