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How Many Squares? is a puzzle in Professor Layton and the Curious Village.

Puzzle

This board has 12 dots on it. Your task is to connect these dots to form as many squares as possible.

You can use each dot multiple times, and you can orient the squares however you wish to fit them on the board. However, to be counted as a square, each corner must be on a dot.

How many different squares can be drawn on the board?

Hints




Click a Tab to reveal the Hint.

You can use a given dot as many times as you like and can orient the squares however you need to to fit them on the board.

In other words, you're going to reuse dots, and you should be on the lookout for a few diagonally oriented squares.

There are three different sizes of squares that you can make on the board.
You shouldn't have much trouble finding the smallest squares. There are five in total.

All four of the medium-sized squares are tilted 45 degrees. Can you see them on the board?

Now that you have the above information, all that's left for you to do is find the biggest type of square. When you know how many of these are on the board, you'll be done!


Solution

Incorrect

Nope!

See if you don't get a different total on your next try.

Correct

Nice work!

Did you have a hard time finding the two biggest squares?

CV073S

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

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