About 10 years ago I put together a plan for a cubic computer, where every side of the cube would be a touchscreen, and it would also contain accelerometers so you could scroll around maps and things by rotating the cube. The only imperfection would be a small power socket in one corner so you could recharge it. That, at least, was the idea. I had to abandon the project when I couldn’t find a manufacturer that would make square touchscreens at any sensible price, even for research purposes.
Microsoft, however, have gone one better, with a spherical multi-touch interface. I hadn’t seen this until now, but I think it’s beautiful.