shouldn’t be that hard, but I understand that 94% can’t do it.
line up the apples, a line that will cut the first apple into 2/3 vs 1/3 will also cut the next apple in same proportion. 1 person gets the 2 sliced 1/3s
Apples are not homogenous, the underlying requirement when asking for “equal share” is that no one is dissatisfied with his/her share, or envy someone else’s share. The solution is a dynamic process :
After explaining it clearly to everyone, hover the knife above the left of the first apple as if you were going to cut it through but without doing it, move the knife slowly to the right until one of the three participants says he is happy with that share, cut the apple at that point and that participant gets that share. Then do the same with the second apple and the remaining unserved participants. Whoever doesn’t have anything after that gets the remaining two slices.
Since everyone “could have” spoke earlierto get a share, everyone has a share that they consider the best in their frame of reference and everyone is satisfied.
This solution also works with more than three participants
Edit: I just now realised the goal was to do it in a single cut
Stack the apples on top of each other, and proceed to do a single spiral cut down from the top stem, out towards the edge, and then back to the center in a single fluid motion. It won’t solve the problem, but it’ll look damn cool
shouldn’t be that hard, but I understand that 94% can’t do it.
line up the apples, a line that will cut the first apple into 2/3 vs 1/3 will also cut the next apple in same proportion. 1 person gets the 2 sliced 1/3s
Apples are not homogenous, the underlying requirement when asking for “equal share” is that no one is dissatisfied with his/her share, or envy someone else’s share. The solution is a dynamic process :
After explaining it clearly to everyone, hover the knife above the left of the first apple as if you were going to cut it through but without doing it, move the knife slowly to the right until one of the three participants says he is happy with that share, cut the apple at that point and that participant gets that share. Then do the same with the second apple and the remaining unserved participants. Whoever doesn’t have anything after that gets the remaining two slices.
Since everyone “could have” spoke earlierto get a share, everyone has a share that they consider the best in their frame of reference and everyone is satisfied.
This solution also works with more than three participants
Edit: I just now realised the goal was to do it in a single cut
Stack the apples on top of each other, and proceed to do a single spiral cut down from the top stem, out towards the edge, and then back to the center in a single fluid motion. It won’t solve the problem, but it’ll look damn cool
Let’s assume you can stack the apples, and passing through both is still 1 stroke. That means cutting through 10 could still be considered 1 stroke.
Stack the apples.
Cut entirely through the top one directly in half.
Continue cutting through the second one.
As you cut through it, one of the people takes the top apple, rotates it 60 degrees, and puts it under the bottom apple.
Finish cutting through the now top apple and continue cutting through the now bottom apple (the original top that was already in half).
Repeat this until you’ve cut each into 6 pieces like this (picture not mathematically accurate, for visual purposes only).
Give everyone 4 each.
Actually, if you can peel them both with o e stroke, you cwn make apple sauce and serve eqaul portions quite easily.
You forgot about the cores.
Cores are non edible volume so you probably need to cut closer to 68-70%.
Damn you ruined it