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All mathematical theorems should be intuitively explained with animal cruelty.
We’re a bunch of nerds. Lemmy is a site you can post memes about math theorems in the general purpose meme community and it’ll do well.
That’s now how this works. That’s really not how this works…
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is there an upper limit for the “hole area” a pigeon can have before it can’t be considered a pigeon anylonger?
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seems like the problem is not well defined, because it might also be possible to drill a whole pigeon away, given a sufficient number of large enough holes.
I disagree. A hole is only a hole when it has an uninterrupted “edge”.
Drilling “two” holes that touch makes them just one (larger) hole.
As such, if you were to drill the entire pigeon away you haven’t actually created a single hole. There is no pigeon anymore so there is no hole.
If we were to only allow drilling valid holes (holes that have an uninterrupted edge) then you cannot ever drill a whole pigeon away.
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I think you’ll find that that’s exactly how this works.
What are you, some kind of pigeon?
I mean, pigeons have more than one hole even before the theorem gets applied
