[CV076] A Tile Square

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075 - The Wire Cube

076 - A Tile Square

077 - Which Job?

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A Tile Square
Game	Professor Layton and the Curious Village
Number	076
Type	Write Answer
Location	Park Road
Given by	Pauly
Solved by	Professor Layton
Picarats	30
Mandatory	No
Reward	None
In other languages
日本語	タイルの正方形 tairu no seihōkei

A Tile Square is a puzzle in the American version of Professor Layton and the Curious Village. For the puzzle in the European version of the game, go here.

Puzzle

You have at your disposal a large number of tiles like the one shown below.

If you were to take these tiles and try to make a square, what is the fewest number of tiles you'd need?

Hints

• →
• Hint 1
• Hint 2
• Hint 3

Click a Tab to reveal the Hint.

Since the tiles have a different length and width, you'll need to find a number that can be divided by both dimensions.

Of course, the puzzle doesn't end there. You'll need to do a little creative thinking in order to find the fewest number of tiles that allow you to form a square.

Don't forget that the puzzle also gives you the thickness of the tiles.

As the sides of the tiles are 10 and 12 inches long, the smallest common multiple of the two works out to 60. Therefore, you'll need to arrange a 5x6 tile square. That's a total of 30 tiles. Simple, right?

Too simple, in fact. There's a way to make a square using even fewer tiles.

Solution

Incorrect

That's not the answer.

Try approaching the puzzle from a different angle and see where that takes you.

Correct

Good work!

The key to this problem is realizing that the tiles have depth to them. Once you understand that you have a third dimension to work with, the rest should fall into place for you.