3D Cubist Painting of Downtown Chicago

I have this pet notion that the space around is made up of multiple, intersecting planes, just like a three-dimensional Cubist painting.  Except that it may be more than three dimensions, if we are to put any merit on String Theory.  I am wondering if it is possible to break the threshold of the present, and therefore travel time, without sophisticated machinery or vehicles.  Can we slide along planes to do so, for instance?

Downtown Chicago is full of glass that reflects a myriad of surfaces and shapes, lines and light, people and movement.  Burberry and Forever XXI.  A restaurant and bar.  Me.