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067 - Noodling Around068 - Paper Cuts069 - Which One's White?

Paper Cuts is a puzzle in Professor Layton and the Unwound Future.

Puzzle

US Version

Two squares of paper, A and B, are shown below. Following the arrows from left to right, each piece is folded in half and then folded in half again.

The red dotted lines on the far-right image of paper A show where a cut will be made. Your job is to cut paper B so that when you unfold it, the cutout shape in the middle matches the shape in the middle of paper A when it's unfolded.

Draw the cut you need to make onto the rightmost image of paper B.

UK Version

Two squares of paper, A and B, are shown below. Each piece of paper has been folded in half and then folded in half again, as shown in the images. The dotted red line on the rightmost image of paper A shows where a cut will be made.

Your task is to cut paper B so that when you unfold it, the cut-out shape in the middle matches the hole in the middle of paper A when it's unfolded.

Draw the cut you need to make on the rightmost image of paper B.

Hints

Click a Tab to reveal the Hint.

US Version

Imagine what paper A will look like after it's been cut and unfolded. Figure that out first, and work from there.

UK Version

Imagine what paper A will look like after it's been cut and unfolded. Work that out first and go from there.

US Version

When unfolded, paper A will have a square cut out of its center that is rotated 45 degrees from the square outline of the paper.

When trying to match this shape, be careful to match the size as well.

UK Version

When unfolded, paper A will have a square cut out of its centre that has been rotated 45 degrees from the square outline of the paper.

When trying to match this shape, be careful to match the size as well.

US Version

You need to draw only one line.

UK Version

You can do it with just one straight line.

US Version

If you cut paper B in a diagonal line from the left edge to the bottom edge, you'll cut out the same shape as the one in paper A. You need to make sure your cut is the right length, however.

UK Version

Diagonally cut off the correct corner of paper B and you'll cut out the same shape as the one cut from paper A. The key is not to cut off too much or too little.


Solution

Incorrect

Too bad!

US Version

It might be easier to grab a few pieces of paper and try figuring it out that way, but try solving it in your head first.

If you're thinking, "That should have worked!" perhaps you're making the size of your cut too big or too small.

UK Version

It might be easier to grab a few pieces of paper to try solving it in your head first.

If you were convinced your solution would work, perhaps you're making your cut too big or too small.

Correct

You made the cut!

As shown in the image above, both pieces of paper will have the same shape cut out of the middle when unfolded.

Why not get a few pieces of paper and try it out yourself? It's fun!

UF068S
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