A Gömböc (pictured right) is a mono-monostatic body: it has exactly one stable and one unstable point of equilibrium. In other words, if you set it down on a flat surface in any orientation, it will automatically reorient itself to its upright position.
So it's just like a Weeble, then? Well, not quite: unlike a Weeble, a Gömböc, by definition is convex. But more importantly, and very unlike a Weeble (which embeds an off-center heavy mass that acts as the self-righting mechanism) a Gömböc is of uniform density. You could carve a Gömböc out of glass or marble or metal and it would still maintain its self-righting property. But it would have to be very pure marble, and you'd need some fine engineering skills: if the shape deviates by more than 0.1mm for 10cm of size, it doesn't work.
The video below, from the UK show QI (of which I've only ever seen clips -- anyone know if you can get whole episodes in the US?) shows a Gömböc in action, and also its inventor/discoverer, Gábor Domokos.
The Gömböc doesn't have any real practical application (other than the suggestion that this kind of shape was evolutionarily selected for turtle shells, so they could self-right) but it's just awesome and I want one. But it's a lot of money to spend on a cool paperweight, and if you drop it, you can't fix it.
Weebles are basically convex aren't they? Apart from the eyes, ears, and nostrils! It's just the uniform density thing that makes the Gomboc special.
Posted by: Barry | September 17, 2010 at 11:54
I'm no Weeble expert, but the ones I've seen look like an egg with a toy head on top, so pretty non-convex. But yes, it's the uniform density that makes Gombocs unique. They even make ones out of glass, so the transparency makes it clear there's no offset mass.
Posted by: David Smith | September 17, 2010 at 12:02
of which I've only ever seen clips -- anyone know if you can get whole episodes in the US?
YouTube? :-)
Posted by: Bob O'H | September 17, 2010 at 14:07
Hi David
A torrent of the newest episode of QI was available on eztv yesterday.
James
Posted by: James Pearce | September 20, 2010 at 21:58