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# Bake it

Best Answer k-man, 07 March 2014 - 08:47 PM

Spoiler for Do you mean like this?

Go to the full post

24 replies to this topic

### #1 TimeSpaceLightForce

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Posted 26 February 2014 - 10:58 PM

Host ask each of 4 guests to make
a single slice on a whole round cake,
so that they all have a  1/5  piece  to take.
How they'll do that for fairness sake?

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Posted 27 February 2014 - 04:50 AM

quick question for clarification.  Will the host participate in this too or is there only four participants?

Edited by BMAD, 27 February 2014 - 04:51 AM.

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### #3 bonanova

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Posted 27 February 2014 - 10:40 AM

Are we looking for a way that the four friends get a fair sized piece of the cake?

Or, are we looking for a way to divide the cake exactly into fifths?

To clarify what I mean, for two people to get a fair division of a piece of cake,

the first one cuts it into two pieces; the second person chooses which piece to take.

We don't get an exact 1/2 division necessarily, but it is a fair division.

The OP seems clear that it's fairness we're looking for, so my question is probably not necessary.

It's an interesting puzzle.

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Vidi vici veni.

### #4 dgreening

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Posted 27 February 2014 - 03:17 PM

This is a variation on the problem of 2 people trying to split something. [where A cuts and B chooses which half].

One solution that solves this problem, but can be used for any practical value of N people

Spoiler for

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### #5 TimeSpaceLightForce

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Posted 27 February 2014 - 05:10 PM

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### #6 bonanova

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Posted 27 February 2014 - 09:19 PM

This is a variation on the problem of 2 people trying to split something. [where A cuts and B chooses which half].

One solution that solves this problem, but can be used for any practical value of N people

Spoiler for

Spoiler for In this process

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Vidi vici veni.

### #7 fabpig

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Posted 27 February 2014 - 10:47 PM

This is a variation on the problem of 2 people trying to split something. [where A cuts and B chooses which half].

One solution that solves this problem, but can be used for any practical value of N people

Spoiler for

Not sure that this is what TSLF is aiming at.  I think he means "How do you divide a round cake equally into 5ths using 4 cuts".  But I've been known to be wrong before...

Edit... or more specifically, how do you ensure that each of 5 people gets an equal amount.

Edited by fabpig, 27 February 2014 - 10:50 PM.

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### #8 TimeSpaceLightForce

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Posted 01 March 2014 - 07:50 PM

The host expect the plates to have a piece of cake  with similar weight, size, shape and flavor (for fairness).

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### #9 plasmid

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Posted 02 March 2014 - 05:26 PM

If the pieces of cake must have the same size and shape, then I get the feeling this isn't one of those questions of the "one person cuts and another chooses" variety. It's asking how a certain number of slices can result in equally shaped pieces if the guests can cut with absolute precision.

Spoiler for if that's the case, perhaps this is what you're getting at?

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### #10 TimeSpaceLightForce

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Posted 02 March 2014 - 09:54 PM

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