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Paint the Plinth is a puzzle in Professor Layton and the Last Specter.

Puzzle

US Version

You must paint several cubes that will form a base platform when put together. All cubes are the same size, you have to paint them all at once, and you can only paint the visible sides of the base. For example, if you painted a base made up of two cubes, you would only paint four sides of each cube. If you wanted to make a base made up of cubes painted on one side, two sides, three sides, and four sides, what is the lowest number of cubes you would need? You can place cubes on top of each other.

UK Version

You must paint several cubes that form a majestic plinth when put together. All cubes are the same size, you have to paint them all at once and you can only paint the visible sides of the plinth. For example, if you painted a plinth made up of two cubes, you would only paint four sides of each cube.
If you wanted to make a plinth made up of cubes painted on exactly one side, two sides, three sides and four sides, what is the lowest number of cubes that you would need? You can place cubes on top of each other.

Hints




Click a Tab to reveal the Hint.

US Version

If you place just one cube on the ground, then five sides will be showing. If you place a cube next to it, both cubes will have four sides showing. Try out some other configurations, and think about which sides of each cube would be showing.

UK Version

If you place just one cube on the ground, then five sides will be showing. Place a cube next to it, and both cubes will have four sides showing. Try out some other configurations and think about which sides of each cube would be showing.

US Version

What configuration would you need to paint a cube on only one side? You would need to surround the cube so that only the top surface is showing.

UK Version

What configuration would you need to paint a cube on only one side?

You might, for example, surround a cube on four sides, left, right, front and back, which would leave the top side showing.

Once you've worked out how to paint a cube on only one side, the next task is the cube with two sides painted. You will need to cover three sides of that cube in addition to the side facing the ground.

US Version

You need four cubes to cover the sides of the cube you paint on one side. You can use one of these four cubes as the cube you paint on two sides--simply place two more cubes on either side of it.

This basic configuration is actually all you need to get cubes painted on one side, two sides, three sides, and four sides.

UK Version

You need four cubes to cover the sides of the cube you paint on one side. You can use one of these four cubes as the cube you paint on two sides - simply place two more cubes on either side of it.

This basic configuration is actually all you need to get cubes painted on one side, two sides, three sides and four sides.


Solution

Incorrect

US Version

Too bad!

Think about which sides of each cube you would need to paint every time you change the configuration.

UK Version

Too bad.

Think about which sides of each cube you would need to paint every time you change the configuration.

Correct

Correct!

US Version

You would need seven cubes. You need at least five cubes just to get a single cube with only one side painted. In order to paint one of those five cubes on two sides, you need to add another two cubes. Once that basic configuration has been made, the rest of the cubes should follow.

UK Version

You would need seven cubes. You need at least five cubes just to get a single cube with only one side painted. In order to paint of the four remaining cubes on two sides, you need to add another two cubes. Once that basic configuration has been made, the rest of the cubes should follow.

LS080S

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

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