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Fair slices (Posted on 2018-01-16) Difficulty: 2 of 5
The 3 kids are going to split a small square cake. It would be easy enough to cut it fairly into thirds but there is a catch:
It is frosted on the top and four sides and they each want to make sure they get a fair share of cake and frosting.

Find one or more simple (or complicated, creative, etc) ways to accomplish the task.

I offered to slice it into fourths and take one as a 'slicing fee' but that didn't go over well.

No Solution Yet Submitted by Jer    
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Some Thoughts responses to previous posts. | Comment 3 of 8 |
Ady: the cake is frosted on top and four sides.  If sliced sideways the person with the top would get much more frosting.

xdog: The problem doesn't mention a cube.  I want it treated as a square which is why the height is not given.  Your solution is what I had in mind.

The origin of this question:  I was thinking about equal area dissections of a square where each piece retains the same amount of the square's perimeter.  Playing around with other shapes I have not discovered anything else worth making a puzzle out of.

  Posted by Jer on 2018-01-16 13:26:51
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