Cut the Cake is a puzzle in Professor Layton and the Curious Village.


When viewed from above, the slice of cake below is an equilateral triangle. Your goal is to produce four sides of a cube by making one cut in the cake. Connect two dots to cut the cake.

You should know that this particular cake has a thickness equal to one quarter the length of the cake slice.


Click a Tab to reveal the Hint.

You can only produce two new surfaces by cutting the cake. Where do you need to cut the cake in order to make these cross sections appear square?

When you figure that out, you've basically got the answer. Recall what the puzzle said about the thickness of the cake.



Too bad.

When you cut off a piece of the cake, your knife creates two new exposed surfaces.

Since you need to produce four square surfaces with your cut, you'll need to look elsewhere for the other two.


That's right!

Cut the cake as shown here.

The two newly exposed surfaces, along with the two additional surfaces from the newly cut wedge of cake, give you four perfectly square sides of a cube.

Once you figure out that the thickness of the cake is the same as the length from any corner of the cake to the first marking, the puzzle is... a piece of cake.



In the Japanese version, this puzzle is listed as Weekly Puzzle 03. The Japanese version of this puzzle uses a konjac (a type of Japanese food) rather than a cake.

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