In Search of the Self-Righting Shape.


You remember Weebles, the toy that wobbles, but it won’t fall down? Toys of that sort have been around for ages, but there is always some position in which it can get stuck. Mathematicians Gábor Domokos and Péter Várkonyi wondered if they could find a shape that will always return to upright.

They looked for objects in nature that might have such a property. While Domokos was on his honeymoon in Greece, he tested 2,000 pebbles to see if he could find one that would right itself, but none did. "Why he is still married, that is another thing," Várkonyi says. "You need a special woman for this."

The shapes they have found that come nearest to the goal resemble a turtle’s shape, which is a very useful adaptation for a turtle. The two scientists are now measuring turtles, which is slow work. They have offered a cash prize to anyone who can demonstrate a flat-sided polyhedron that is truly self-righting -$10,000 divided by the number of sides in the polyhedron. They believe the prize may turn out to be quite small, as many sides will be needed for such a shape. Link -via Reddit

Comments (6)

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“Why he is still married, that is another thing,” Várkonyi says. “You need a special woman for this.”

What in God's name is he doing to his wife? And why doesn't she get padding?
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Take a chicken egg and slightly widen the more spherical end, and taper the pointier end enough that the weight of the bulbous end is greater than the pointy end. Self-righting, voila.
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THAT, is a big deal. I mean whoohoo, a zebra subspecies, but that's no the point. It's humans attempting to bring back something that is extinct. That's the hugeness of this news.
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Thats what fascinated me about this. We already breed animals for certain traits, and we can now map genes. Breeding existing animals to match a gene map of a bygone animal is a whole new area.
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That's certainly a neat project, but besides the "wow, we can do it" factor, what's the value?

So the quagga is extinct - we humans live on and have improved living conditions since the late 19th century. Why do we need a zebra subspecies?

Just thinking outloud.

Now, if it was a giant woolly mammoth, THAT'll be different! :)
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Hey Alex--I'm currently sticking my tongue out at you, out loud. ;-)

I like the fact that humans are genuinely trying to bring back something that humans made extinct through their own ignorance. It gives me hope that we haven't thoroughly mired ourselves in exactly that thought of "Oh well, that's just the way it goes, it's dead and gone but WE must go on, etc."

And frankly, it's better research than engineering a subcutaneous bra... ;-)

--TwoDragons
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