
14 responses to “Hyperspace”
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My brother’s just back from that area. Toured the Salk, Disney Concert Hall, etc. Love looking at shots taken by an architect.
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I see there’s a guy halfway down… is he surfing the hyperplane??? … is that a new variation of the Ham Sandwich Theorem?
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> is that a new variation of the Ham Sandwich Theorem?
Assume that you have applied the ham and sandwich slicing algorithm "enough" times, so that you end up with a zillion of tiny "non-measurable" partitions.
Banach and Tarski have shown that you can then recombine these partitions to create two sandwiches, each having a volume and composition identical to the original one.
The implication is that you can have your sandwich — or cake, or universe, for that matter — and eat it too, provided you expend "enough" effort and energy slicing up the original

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Hi, I’m an admin for a group called Creative Commons- Free Pictures, and we’d love to have this added to the group!
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