weird@sub.wetshaving.social to memes@lemmy.world · 7 days agoNot how my professor explained itsub.wetshaving.socialexternal-linkmessage-square9fedilinkarrow-up11arrow-down10cross-posted to: [email protected]
arrow-up11arrow-down1external-linkNot how my professor explained itsub.wetshaving.socialweird@sub.wetshaving.social to memes@lemmy.world · 7 days agomessage-square9fedilinkcross-posted to: [email protected]
minus-squareDunstabzugshaubitze@feddit.orglinkfedilinkarrow-up0·6 days agois there an upper limit for the “hole area” a pigeon can have before it can’t be considered a pigeon anylonger?
minus-squareDunstabzugshaubitze@feddit.orglinkfedilinkarrow-up0·6 days agoseems 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.
minus-squareyetAnotherUser@discuss.tchncs.delinkfedilinkarrow-up0·6 days agoI 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.
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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