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Plaza Puzzle is a puzzle in Professor Layton and the Diabolical Box.

Puzzle

US Version

"So there's a big, old statue in the middle of this plaza. When you take away the area occupied by the statue, the plaza looks kinda doughnutlike in shape. What you gotta do is divide this doughnut plaza into two identically shaped parts using only one line.

"Oh, and before you get any big ideas, the dotted lines shown below won't cut it 'cause they're actually two lines."

Draw your answer on the Touch Screen.

UK Version

"So there's a big old statue in the middle of this plaza. When you take away the area occupied by the statue, the plaza looks sort of doughnut-like in shape. What you have to do is divide the doughnut-like plaza into two identically shaped parts using only one line.

Oh, and before you get any big ideas, the dotted lines shown below won't cut it 'cause they're actually two lines."

Draw your answer on the Touch Screen.

Hints




Click a Tab to reveal the Hint.

In the example illustration, the plaza has been divided by two lines, which makes the answer invalid.

US Version

The fact that you need to use a single line to answer the problem is key. Since you can use only one line, you know you won't be solving this one by drawing lines through the middle of the plaza, right?

UK Version

The fact that you need to use a single line to solve the puzzle is key. Since you can only use one line, you know you won't be solving this one by drawing lines through the middle of the plaza.

US Version

Even if you avoid drawing your line through the center of the plaza, no single straight line will divide the plaza into two pieces that are the same shape.

By the way, did you notice the goal here isn't to make two pieces that are the same size but merely the same shape? Keep that in mind.

UK Version

Even if you avoid drawing your line through the middle of the plaza, no single straight line will divide the plaza into two pieces that are the same shape.

By the way, did you notice that the goal here isn't to make two pieces that are the same size?

If you're still having trouble, you should know that the single line you need to draw is a circle.

US Version

The only remaining question is where to place it so that the two pieces of the plaza have the same shape and are directly proportional to one another.

UK Version

The only remaining question is where to draw it so that the two pieces of the plaza have the same shape and are directly proportional to one another.


Solution

Incorrect

Too bad!

US Version

Focus on the term "one line." There's a hint somewhere in there.

UK Version

Focus on the term "one line". There's a hint somewhere in there.

Correct

Nice!

US Version

If you draw a circle around the plaza about one-third of the way out from the middle, your line will divide the doughnut into two identically shaped figures that are directly proportional. In geometrical terms, shapes like these are known as similar figures.

UK Version

If you draw a circle around the plaza about one third of the way out from the middle, your line will divide the doughnut shape into two identically-shaped figures that are directly proportional. In geometrical terms, shapes like these are known as similar figures.

DB060S

A big thanks to http://professorlayton2walkthrough.blogspot.com

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