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rookie1ja

8x8 Square

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rookie1ja    11

8x8 Square - Back to the Geometry Puzzles

Slice the picture into 2 sections from which you could make a 8x8 square.

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This old topic is locked since it was answered many times. You can check solution in the Spoiler below.

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8x8 Square - solution

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I solved this problem using reverse engineering. I drew an 8x8 and then starting cutting out the blocks to solve. This was unlike the 4x6 which I quickly saw visually as a simple shift. Question - what methods did you use to solve this 8x8 and the 4x6? Just curious.

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rookie1ja    11

When the long sides are in full length, I kept them. Then I picked one short side and tried to complete it.

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why don't you do these things so we can solve them online? to try to describe the means is more difficult than solving the puzzles.

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One logical way to start the problem is to identify which blocks could not be in the same section. Since the final square is 8 x 8, 2 blocks can not be in the same section if they are further than 7 blocks away vertically or horizontally. In this problem, the original shape is 11 squares wide. Therefore the left 3 rows can certainly not be in the same section as the right 3 rows. This gets us at least this far (see pic) 8x8.JPG[/attachment:13aa2] This approach works as a reasonable starting point for many of these types of problems.

In this particular problem, the next thing is to identify which block could possibly provide the top right corner of the final 8 x 8 square. From there on it is relatively easy.

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I also started with an 8x8 square and played with it 'till I had two pieces that worked.

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