DB060 - Plaza Puzzle

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Plaza Puzzle
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Plaza Puzzle
PL2060T.png
PL2060B.png
Puzzle Number 060
Puzzle Name Plaza Puzzle
Picarats Given 25 Picarats
Type Draw Line
Location Folsense Station
Previous Puzzle DB059 - A Ticket to Where?
Next Puzzle DB061 - Where's the Hotel?

This is the sixtieth puzzle you will encounter in Professor Layton and the Diabolical Box. To access this puzzle, you must talk to Rory. In order to solve this puzzle, you must divide the plaza into two identical shapes by using only one line.

Contents

[edit] Hints

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

    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?

Hint Two
    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.

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

    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 the one another.


[edit] Messages

[edit] When Failed

Too bad!

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

[edit] When Completed

Nice!

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.

[edit] Solution

PL2060ST.png

Draw a line as shown.

[edit] Progress

1830 Picarats and 118 Hint Coins.



Last edited by Squiggle on 7 December 2015 at 23:37
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