[CV039] One-Line Puzzle 2

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038 - Island Hopping

039 - One-Line Puzzle 2

040 - How Old Is Dad?

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One-Line Puzzle 2
Game	Professor Layton and the Curious Village
Number	039
Type	Circle Answer
Location	Fork in the Road (St. Mystere)
Given by	Agnes
Solved by	Luke
Picarats	30
Mandatory	No
Reward	None
In other languages
日本語	一筆書き２ hitofude gaki 2
Deutsch	In einem Zug 2
Español	Puzle de una línea 2
Français	D'un seul trait 2
Italiano	D’un sol tratto 2
한국의	한붓그리기2

One-Line Puzzle 2 is a puzzle in Professor Layton and the Curious Village.

Puzzle

The idea of one-line puzzles is to put your pen to paper and draw a shape without lifting your pen from the pad or retracing any lines. You can, however, cross lines.

Now that you're familiar with the concept, look at the four pictures below. One of them cannot be drawn with one line.

Which one is it?

Hints

• →
• Hint 1
• Hint 2
• Hint 3

Click a Tab to reveal the Hint.

Each picture should be composed of lines that meet at different points.
With these pictures, if you find a single line that runs out beyond the others, you know you have to start your drawing there.
Try tracing the answer out yourself.

Some points may be the convergence point for several lines. You need to think hard about which line to take in and out of the point in order to make the sketches work.
If your pen is entering a point formed by an even number of lines, you will always be able to leave the point via another line.

Using Hints One and Two, it's actually quite easy to draw these shapes out yourself.
Make sure that you start drawing the shape from a point that touches an odd number of lines. Don't forget, one is also an odd number.

Solution

Incorrect

Give it another go!

It looks like you should be able to draw all of them in one line, doesn't it?

Don't be fooled.

Correct

Nicely done!

When examining a picture like this, the key to spotting a fake is looking at the areas where multiple lines intersect. When looking at these areas, take note of whether the number of lines running through a given point are odd or even.

If all intersections contain an even number of lines, or if there are two intersections that contain an odd number of lines, you should be able to draw the picture in one line.