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011 - Trees in the Forest012 - Clouds and Sky013 - On Your Plate

Clouds and Sky is a puzzle in Professor Layton and the Diabolical Box. The puzzle must be solved in order to progress the story.

Puzzle

US Version

A man sitting next to you on the train shows you a picture he's drawn.

"Let's say the picture has a total area of 10. Can you figure out how much of it is made up of clouds compared to the area that's made up of sky? Don't think you need to guess the answer. There's a definite method you can use to work this out."

How much of the area is sky versus clouds?

UK Version

A man on the train shows you a picture he's painted.

"Let's say this picture has a total area of 10. Can you work out how much of it is made up of clouds compared to the area that's made up of sky? Don't think you need to guess the answer. There's a definite method you can use to work this out."

How much of the area is sky and how much is cloud?

Hints

Click a Tab to reveal the Hint.

US Version

You never know what secrets the area around the window might hide. Try using those studs stuck around the frame of the window to simplify things.

UK Version

Take a closer look... Not at the picture itself, but at its frame.

You could use the frame's screws to simplify how you look at the picture.

US Version

Open the memo function and, using the studs around the window, divide the picture into 10 squares. There, now doesn't that make things easier?

UK Version

Hint 1 pointed out the screws in the picture frame. Have you noticed that you can use these as guides to divide the picture into 10 squares.

Now all you have to do is study the squares carefully...

US Version

Compare each square with the others. By now, perhaps you've managed to spot that some of the squares have the same designs as other squares but are inverted in color scheme. Any pair of squares you find like this have the same amount of sky and cloud, right?

But you still have to deal with those other squares that are completely blue.

UK Version

Compare each square with the others. Have you noticed that some squares are identical in design, but with the colours swapped? Any such pair of squares you find have the same amount of sky and cloud. Also, don't forget about the two squares that are filled with just one colour.


Solution

Incorrect

Too bad!

US Version

Think hard about the clues you've been given and try again.

UK Version

Take another long, careful look at the puzzle.

Correct

Nice job!

US Version

The key here is to use the studs surrounding the picture to divide it up. Once you do that, it should be clear that B and F, C and I, D and G, and E and H are simply pairs of the same drawings with the color reversed. This means that in these eight areas, there are four squares of sky and four squares of clouds. The remaining two squares, A and J, are solid blue, so in the end, there are six squares of sky and four squares of clouds.

UK Version

The key here is to use the screws on the frame to divide the picture. Once you do that, it should be clear that B and F, C and I, D and G, and E and H are all simply pairs of the same drawings with the colours reversed. This means that in these eight areas there are 4 squares' worth of cloud and 4 of sky. The remaining two squares, A and J, are completely blue, so the totals are 6 squares of sky and 4 squares of cloud.

DB012S
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