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lukechampine's profile
Luke Champine
Luke Champine
Luke Champine
@lukechampine

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Luke Champine

@lukechampine

I would like to understand things better, but I don’t want to understand them perfectly —Hofstadter

Somerville, MA
lukechampine.com
Joined November 2016

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    1. Luke Champine‏ @lukechampine Oct 30
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      This is a plastic six pack ring. I don't want any animals getting stuck, so I always cut mine such that there are no more loops. However, I am also lazy. How can I minimize the number of cuts required?pic.twitter.com/fA3w7Mv8Y9

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    2. Luke Champine‏ @lukechampine Oct 30
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      Variants: 1. Assume that "cut" means transecting exactly one segment. 2. Assume that "cut" means transecting an arbitrary number of segments along one line. 3. What if the ring can be folded?

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    3. Luke Champine‏ @lukechampine Oct 30
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      I'm pretty sure variant 1 is trivial: each cut can, at best, reduce the number of loops by one, so the number of necessary cuts is equal to the number of loops: 14. Variant 3 is also probably trivial; I assume there's a way to fold the ring such that all loops overlap, so 1 cut.

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    4. Luke Champine‏ @lukechampine Oct 30
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      As for variant 2, I have no idea! Practically speaking, though, I don't have a pair of scissors that can transect the entire ring. So the most useful solution would involve a fold (or two).

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      Luke Champine‏ @lukechampine Oct 30
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      Actually I guess variant 2 is also trivial. 3 cuts is obviously sufficient, but 2 cuts is not.

      4:17 PM - 30 Oct 2019
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