this post was submitted on 21 May 2025
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Line em up and cut a third off both apples in one go? Everyone gets 2/3? Seems simple right? Consider the core. I don't think it's possible if you consider the core. You have to kill one of your friends.
You have to kill one of your friends.
You have to kill one of your friends.
Choose which one of your friends to kill.
Reach for the knife before someone else does.
You have to kill one of your friends.
Or you could sacrifice yourself, you murderous bastard.
But then I would be dead.
Rotate each apple 90 degrees so that core is parallel to the ground and perpendicular to the knife, now its split equally
If more than one person hates the stem part then yea it's murder time
The core isn't evenly distributed along the axis though, it's like a small thingy in the center. Definitely murder time
This is actually the sandwich problem, which states there is exactly one slice that will split a sandwich of 3 elements into exactly 2 halves regardless of the shape or position of those elements. We don't need the full proof, but the problem is continuous, so any desired ratio is possible, therefore you will always be able to slice an apple into exactly 1/3 and 2/3rds "good bits", so a single slice will always be able to do the job.
I still struggle to visualize it. If we have two concentric spheres (or circles), how can you make a cut that slices both into ratios of 2/3 by volume/area?
diagonals
-- The Good Place
Killing one of your friends might not be the optimal solution.
But one of your friends might think it is.
Cut 1/3 up from the top or bottom?
(the apples! Cut the apples!)