Sweden-based Erik Åberg has created a rather crazy system of hinging cubes together. Even more interesting is his background: Åberg is a professional juggler.
There's a subset of juggling done with not balls, but boxes: "Cigar box manipulation," as it's called, dates all the way back to the days of vaudeville, and we surmise it has led Åberg to his creation. Before we get there, we'll show you what cigar box juggling looks like. The following video is of juggling legend Kris Kremo, and scanning through the video should give you the idea. (Don't miss what he starts doing at 2:34!)
As for what Åberg's come up with, take a look at what he calls his "Ghostcubes:"
The mind-wheels have undoubtedly started turning in the furniture designers among you. As for how the Ghostcubes work, the information isn't freely available, but Åberg has posted a pay-to-download video "where the research of the Ghostcubes is explained" here. Buy-in's €10.