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Before I start- I don't know the answer for this one and I don't know if there is any, though I believe there is.

Anyway, the question is: "is it possible to slice the shape on the image into 4 identical shapes such that each shape will include one blue square and one red square?"

Thanks in advance.

post-33155-066349400 1280053510.jpg

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Slice off the outer rows.

Put top & bottom rows together until two center rows remain. Then you have 4 sections contain one red & one blue square.

Well, I kinda see your point. However, the idea is not to change the position of the red and blue squares.

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And the solution is:

It is actually much easier than I've imagined. The downloadable image below shows the solution. For the sake of convenience I changed the red squares with the letter R and the blue ones with B and colored the shapes...

solution.bmp

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