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Square Goldfish is a puzzle in Professor Layton and the Last Specter.

Puzzle

Below is a goldfish-shaped toy. This toy has a trick to it: it can be split into four pieces, which can be then be assembled to form a perfect square.

How can the toy be divided such that the resulting pieces could be rearranged to form a square? Draw two lines dividing the goldfish into four pieces.

Hints




Click a Tab to reveal the Hint.

US Version

Try to visualize which parts can be made to form the square. You can only draw two lines, so significant portions of the resulting pieces will need to fit together to form a square shape, right?

UK Version

Try to visualise which parts can be made to form the square. You can only draw two lines, so significant portions of the resulting pieces will need to fit together to form a square shape, right?

The length of one side of the finished square is equal to the diameter of the circle that forms the fish's head.

Both the dividing lines should be drawn within the fish's head.

Can you work out where?

Draw two lines to make an X across the circle that constitutes the fish's head. You will have three quarter-circle wedges as a result.

If you fit these into the grooves on the fish's tail, you'll have a perfect square.


Solution

Incorrect

Too bad!

The pieces must fit together cleanly and form a perfect square.

Correct

Correct!

If you cut the toy as shown, the pieces can be arranged to form a square.

LS101S

A big thanks to http://professorlayton4walkthrough.blogspot.com

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