[UF143] Double Digits

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142 - The Marked Cup

143 - Double Digits

144 - Mr. 8:20

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Double Digits (Boards into Numbers in the UK version) is a puzzle in Professor Layton and the Unwound Future.

Puzzle

US Version

The board below can be cut into two identical shaped pieces that also look like the shape of a number.

You can only make one continuous cut along the dotted lines. And of course, you need to use every part of the board in you answer.

How should the board be cut?

UK Version

The board can be cut in a way that produces two identical number-shaped pieces.

Where do you need to cut the board in order to do this?

You can only cut along the dotted lines.

Hints

Click a Tab to reveal the Hint.

US Version

If there weren't those two squares sticking out, you could cut the board in half vertically and make two wide ones. But that's not what you're looking for.

UK Version

If it weren't for those parts sticking out, you could make two rather chubby 1s... But that's not the answer.

US Version

You're not looking for twos or fives, either. The key is to figure out how to incorporate each of the two squares sticking out into the shape of a number.

UK Version

The number shape you're looking for is not 2 or 5.

The main problem here is working out which part of the number is represented by those two protrusions.

US Version

You're not looking for sixes or nines, either. To make a number with a hole in it, you'd have to use a lot more squares than you have here.

UK Version

The number shape isn't 6 or 9.

You'd need an awful lot of squares to cut out two number shapes that have a hole in the middle.

US Version

One shape you're looking for is the number right-side up. The other one is the number upside down.

It's not two threes...

UK Version

One of the two number shapes has been turned upside down and slotted into the other one. If you think about this for a moment, you'll see that 3 can be ruled out.

Solution

Incorrect

US Version

Too bad!

Look carefully at the board, and think of what numbers you can create.

UK Version

Bad luck.

What shapes could be made from this piece of wood?

Correct

US Version

Correct!

As shown in the image above, you can cut the board into two pieces that look just like fours.

UK Version

A cut above!

You can create two pieces shaped like the number 4. Cutting the board as shown above is one way of doing this.

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