I'd like to have a Gömböc, I'm so curious how it works. And it should look nice in aluminium. But it's not cheap.
The Gömböc is a self-righting object, which means that no matter which way you put it down, it stands itself back up. It's like a Weeble, except it doesn't cheat by having a weight at the bottom, and it's the only shape that can do this.
The existence of a shape with these properties was conjectured in 1995, but it took ten years for someone to figure out how to actually make one that worked.
I would not have thought that possible.
Other odd objects.