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seen May 14 at 15:22

Jun
4
awarded  Yearling
Jan
23
awarded  Commentator
Jan
23
comment Splitting a sandwich and not feeling deceived
Cutting in 3 one time does not work, because the issue is that they don't trust each other. It is in the first guy's best interest to cut properly, but if he is a lousy cutter there is no mechanism by which the others can correct it. There is also a clear advantage in being able to chose first. If A cuts, which of B or C will chose first? Why? And if A isn't good at cutting, he will get less which is unfair. My solution is not perfect but it gives all players a similar amount of control and avoid creating useless crumbs (cf sol 1).
Jan
18
comment Splitting a sandwich and not feeling deceived
You are outside the scope of the question: the original problem was sharing a cake betwen 2 people who want their fair share but don't trust the other. Expanding it to 3 people, we have 3 people who want their fair share. The failure can only occur if C does not actually wants his fair share, in which case most answers above fail completely, whereas my solution limits the failure to a single 1/9th piece. B gets less, but only if C agrees to take even less than B, which is outside the scope of the question asked.
Jan
18
comment Splitting a sandwich and not feeling deceived
Read again and that time do try to understand the solution. A and B cuts the cake into a large one and 2 tiny pieces. Now we have 2 big pieces and a bunch of crumbs. What you didn't understand is that C cuts EACH piece in 3 EQUAL pieces. Nothing A and B can do about it. After C, you have 6 equal pieces and a bunch of crumbs. If C cuts properly, he will get exactly 1 third of the cake.
Jan
15
answered Splitting a sandwich and not feeling deceived
Nov
18
comment How to convince a layman that the $\pi = 4$ proof is wrong?
That's probably because I read your your original comment to my 2 years old answer as a critique rather than as a genuine question.
Nov
18
comment How to convince a layman that the $\pi = 4$ proof is wrong?
@JesseMadnick Usually, when the only definition you know does not match the context, the logical next step is to look up the word in a dictionary. According to the American Heritage dictionary, one of the definitions for the word "surface" is: [Mathematics] "A portion of space having length and breadth but no thickness." Does that help?
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6
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11
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4
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Dec
30
comment My brothers share from income.
@Aman You are correct, if the partner is the one who collects the money, your brother should get $600 based on your agreement.
Dec
30
answered My brothers share from income.
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24
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Jul
16
answered how to properly calculate difference in percent