Beginner woodworking project for illusionists?

Erik Minnema made this really nice woodworking piece, called side by side. It’s pretty easy to build, all you need are a few pieces of wood and an inter-dimensional table saw.

Can’t get your hands on one of those? In that case you will have to resort to trickery. If it’s not photoshopped, how do you think it would be built? [via neatorama]