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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


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24 replies to this topic

#11 dgreening

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Posted 04 March 2014 - 03:52 AM

 

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

 

If person 1 cuts a small slice, no one will take it and person 1 gets the small slice


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#12 bonanova

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Posted 04 March 2014 - 05:42 AM

You're right. I didn't read to the end of your solution, and I think you've solved it. 


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#13 fabpig

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Posted 04 March 2014 - 09:47 AM

You're right. I didn't read to the end of your solution, and I think you've solved it. 

 

Apart from:

 

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


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#14 bonanova

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Posted 04 March 2014 - 12:03 PM

If exact results are required I agree.

I can't imagine how without a scale or other way to verify.

 

If OP requires similar and fair, it has the same flavor as the I cut - you choose n=2 case.

With regard to specifics,

  1. Flavor - seems automatic. Sounds like it might even be tongue in cheek (pun intended.)
  2. Size and weight go together - each person does a visual inspection.
  3. Shape is satisfied by cutting wedges from the center.

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#15 fabpig

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Posted 04 March 2014 - 07:01 PM

I get the logic... but the OP still says to create 5 equal pieces with four cuts. And each person has 1/5


Edited by fabpig, 04 March 2014 - 07:07 PM.

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You must not think me necessarily foolish because I am facetious,  nor will I consider you necessarily wise because you are grave.  Sydney Smith.


#16 TimeSpaceLightForce

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Posted 04 March 2014 - 08:11 PM

 

If exact results are required I agree.

I can't imagine how without a scale or other way to verify.

 

If OP requires similar and fair, it has the same flavor as the I cut - you choose n=2 case.

With regard to specifics,

  1. Flavor - seems automatic. Sounds like it might even be tongue in cheek (pun intended.)
  2. Size and weight go together - each person does a visual inspection.
  3. Shape is satisfied by cutting wedges from the center.

 

The issue here is fairness for all the 4 guests/cutters ..and it is still fair for all if the remaining piece on the tray has the same flavor,volume ,weight yet not the same shape like the pieces on the plates.


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#17 bonanova

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Posted 05 March 2014 - 04:08 PM

 

 

If exact results are required I agree.

I can't imagine how without a scale or other way to verify.

 

If OP requires similar and fair, it has the same flavor as the I cut - you choose n=2 case.

With regard to specifics,

  1. Flavor - seems automatic. Sounds like it might even be tongue in cheek (pun intended.)
  2. Size and weight go together - each person does a visual inspection.
  3. Shape is satisfied by cutting wedges from the center.

 

The issue here is fairness for all the 4 guests/cutters ..and it is still fair for all if the remaining piece on the tray has the same flavor,volume ,weight yet not the same shape like the pieces on the plates.

 

 

OK, so the question is, and we're all anxious to know ... has the puzzle been solved?

And if not, what is missing from dgreening's solution?


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#18 fabpig

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Posted 05 March 2014 - 07:26 PM

Spoiler for Wellllll


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You must not think me necessarily foolish because I am facetious,  nor will I consider you necessarily wise because you are grave.  Sydney Smith.


#19 TimeSpaceLightForce

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Posted 05 March 2014 - 08:09 PM

Spoiler for hint


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#20 TimeSpaceLightForce

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Posted 05 March 2014 - 08:29 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

 

If person 1 cuts a small slice, no one will take it and person 1 gets the small slice

 

@dgreening "Person 1 [arbitrarily chosen] cuts a piece of cake, puts it on a plate and passes it to Person 2"-   can not do that with single cut..


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