you have the knife, ‘equally’ means you get all the apples
This guy Americas
Commit harakiri obviously
I will be the cpt obv
1/3 1/3
<=======]==o
2/3 2/3
Ok but like how do you know it’s 1/3 of the apple without any other tools.
Cut first, choose last. It’s as fair as you can get when eyeballing it
Only works with two people. For three you use Selfridge-Conway procedure which uses up to five cuts.
it is a magical long sword of apple slicing (+5 damage and THAC0 against apples, +1 otherwise)
You don’t, you only know it’s possible to do so thanks to the Ham sandwich theorem
What’s funny is that you’ve actually stumbled onto an entire problem that’s studied quite heavily. I remembered a Numberphile video about this. The problem is called “envy-free cake splitting”. It’s pretty straightforward. A split is envy-free if no one believes someone else got more than them. For three people this was figured out in 1960 and you can read about it here. It has been solved for N participants as well and you can read about the general problem here.
For two people, it’s obvious. One splits and one chooses. The first person is incentivized to make it even because they don’t know which they’ll get.
I was going to give a summary of the process for three people but it’s too much to explain succinctly. Just check the article I posted lol.
How is it obvious for two people, what if I have horrible manual dexterity and despite my best efforts, I slice the cake like 1/3 and 2/3, and the other person picks the bigger piece? I would very much envy the other piece
Then have them cut and you choose. Easy. Now they envy your piece and having better dexterity as well.
Insert Thanos balanced meme here.
Your “cut” would not be complete until you believe you’ve made them 50/50.
here we go infinite cuts
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Let’s not go too deep on this alright
Right… right… but https://en.wikipedia.org/wiki/Envy-free_cake-cutting
if the cake is a 1-dimensional interval …
The Stromquist moving-knives procedure uses four simultaneously-moving knives…Consider a spherical cow perched above a black hole, facing the sunset…
I did not expect to see this today
To put that in perspective, for 2 people that would be ~4.3 billion
alright we better get started then
It’s just the upper bound. I have no idea what the process is lol.
Comments full of people earnestly trying to solve the problem without breaking the law lol
slice the center child across the neck to prevent them from eating any, making there be one whole apple for each of the remaining children.
Is 6% a cited estimate of the number of psychopaths in a population?
Only 6% solved the puzzle in the very obvious correct way.
Its the other 94% of people that are subconsciously fully distracted by the opportunity to do violence to see the clear solution that you should be worried about.
Yeah that’s what I was gonna say. I think 90% of people could solve this just fine but only 6% are solving it without thinking of stabbing a person to solve a non issue of non-existent scarcity.
I’m leaving room for 10% to starve to death or cut themselves with the knife by accident.
I’d rather eat an orange. Apple skin gets stuck in my teeth.
Just cut them right down the middle. Four slices each person takes one and the last is left to rot. It says share equally not share the entire apple
Non-murder solution:
Place and hold the apples precisely on top of one another. (Make sure your fingers are not in the way.) From one side of the apple tower, go horizontally exactly two thirds of the way to the other side. At that position, cut vertically through both apples from top to bottom. You now have two pieces that are two thirds of an apple each, and two pieces that are one third each. The kid you like best will receive the end slices without the apple core in it.
More realistically, disregard the stupid premise and make as many cuts as you need.
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The knife looks long enough you could probably cut 1/3 of each apple while they are placed side by side, which might be easier and safer to cut than stacking the apples.
Yall just cut straight down with your knives? You dont angle the blade and slide it ?
Bingo
That seems more possible than turning the knife 90 degrees mid-cut
Apple’s aren’t square so it’s not so easy to figure out where to cut that will give you a 1/3 - 2/3 split.
Take both apples and attach them to a drill. Position the knife on apples so that it starts slicing a long slice as they rotate and run the drill. You’ll end up with a long piece of 2 apples and 2 cores. Keep the long peels, give each core to each one of those peasants.
If the knife is long enough, you could simply line the apples up and do that.
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
You forgot about the cores.
Cores are non edible volume so you probably need to cut closer to 68-70%.
Damn you ruined it
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.
nice!
Actually, if you can peel them both with o e stroke, you cwn make apple sauce and serve eqaul portions quite easily.
If you have one guy draw the knife over a long surface and distance, the other two can use that one slicing motion to cut the apples any number of times.
ONE STROKE, 99 cuts!
I got 99 cuts, but a stroke ain’t one
ONE STROKE, 99 cuts!
Like shaving with an old razor blade.
Because the 6% are psychopaths capable of murder. I thought it was closer to 3% of the population though
I get the apple with the leaf for solving the puzzle.
And you have one less rival for getting a girlfriend.
Is there a Bechdel test but for incel men?
As a nerdy gal on the Internet, I envy Joanna.
That made me laugh, thanks!
My solution is cut both apples in half, and take two halves, because I am more equal than others.
Some animals are more equal than others…
