EventHorizon
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Everything posted by EventHorizon
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A funny application of this new found phenomena: When people pull the waist-line of their pants out to show how much weight they've lost, you can show them the math and convince them they didn't really lose much circumference. edit: Just don't start with, "assume the radius of your waist is that of the earth..." as it might make them feel bad.
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Also, it's interesting there are 4 responses and 4 different answers
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That's equivalent to BobbyGo's approximation. It's a pretty good approximation based on superprismatic's simulation, but not exact. On a more interesting note, thinking about this problem resulted in me rediscovering a multidimensional extension of Pascal's triangle. Too bad it was discovered at least 20 years ago (and the idea is probably a lot older than that).
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Yay! 400th post
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Like Jalegre alludes to... it won't be that simple. (or if it can be, I'd love to see how this mess simplifies!)
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I've thought a bit about the original problem (even found online the place where it was likely taken from) worked up some integrals that got ugly. I think I know how I'd approach it next, but I think it may take more time than I'm willing to spend on it at the moment. I'll put it in my queue though (it's an interesting problem after all).
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If that's the case, the way the dodecahedron is painted is not unique. Here are some possibilities with the same result: Edit:: Didn't see your last post.
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That looks like it should work, except there are 30 beakers and not 20.
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Anyone see a mistake?
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I think I've got a strategy that only requires 6 tests. I may be overlooking something, but I'll flush out the idea completely and report back. --correction, 9 tests. I was overlooking something
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Did you notice d3k3's post? He solved it.
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Thanks for posting. It was an interesting puzzle. (... but hopefully it wasn't homework )
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The air pressure would increase as you get closer to the center, but gravity would decrease. I think you are probably thinking of Newton's law of universal gravitation, but that assumes point masses. For instance, if you are at the center of gravity of the earth, then there would be no force of gravity since there would be matter pulling almost equally in all directions... canceling the forces out. Using the equation directly, however, you'd instead expect infinite gravity... but I don't think we've collapsed into a black hole yet (though I could be wrong...).
