[quote="clowns789"]Sorry, that's not it. There's 4 lines connecting, not 2. So it's in the corners and not the sides.[/quote]
Yes, there are dozens of variations of the puzzle, but the premise is the same - once you have more than two intersections with an odd number of connecting segments, there are only 'trick' solutions.

[b]wblipp[/b], you are correct, there is no legal solution without stretching the rules. The solution I recall from the book is a combination of two of yours - and just as lame.

[b]Figure 1.[/b] Trace as much of the figure as you can. Here I start at [b]w[/b] and end at [b]z[/b]. w-a-b-z - y-g-f-x - w-d-c-z.
. . . . [b](1)[/b] . . [img]http://www.mersenneforum.org/jpg/Puzzle-1b.jpg[/img] . . . . [b](2)[/b] . . [img]http://www.mersenneforum.org/jpg/Puzzle-1c.jpg[/img]

[b]Figure 2. [/b] Instead of using a second piece of paper, we now fold the corner over so one edge touches the pencil at [b]z[/b], and the other touches [b]y[/b].
This lets us hop over to [b]y[/b] and finish tracing the figure. y-h-i-x.

To be slightly more "pure", you could fold over the paper so the exact corner touches the pencil, move the pencil onto the corner, then slide the pencil-and-corner over to the other point. That way no extra segments were actually drawn - just a point. :? It's still a lame solution.

As to the artist's solution, why not gently lay the pencil down (you're not "lifting" it), roll it over to the other point, then carefully press the tip down onto the point. :?

What a dreadfully evil puzzle. :shock:

Is this the answer?
 

Fold the piece of paper so that the one square touches a part of the other square, and then move your pencil from where it was along that part of the perimeter onto the perimeter of the other square...

I think that this is known as topology... :banana:

Simon
(The Gladiator)

I Must Apologize
 

I was moving too quickly through this thread and missed the solution, or a variant thereof, to this puzzle.

So while I thought I had solved it, I was mistaken, so I do apologize if I have stolen the thunder that was rightfully yours.

Apologetically,

Simon
(An Innocent)

:innocent:

Here's a drawing (sort of)...

[CODE]

l--------l
l\ /l
l l----l l
l l l l
l l----l l
l/ \l
l--------l

[/CODE]

Can you solve it WITHOUT folding or overlapping? Stay on the lines!

That didn't work, and it took me a long time to do it on Paint and Photoshop but here it is...

EDIT: There are supposed to be lines on the bottom, top, and right sides.

How is this different from the puzzle that you posted at the start of this thread two years ago?

From what I can see, it is the same puzzle and the same answers still apply.

Puzzle from 3rd.Grade
 

[QUOTE=Wacky]How is this different from the puzzle that you posted at the start of this thread two years ago?

From what I can see, it is the same puzzle and the same answers still apply.[/QUOTE]
:rolleyes:
I am happy that you have revived this thread as it is very educational.
The points that have been made are worth noting
1) Its a topological projection of a cube (strictly speaking not a wire cube as
wires have thickness no matter how fine and hence drawn as two lines not the ideal geometric one), but we get the point/idea.
I would say that even on an actual 3D cube it does not work. It could work if diagonals are allowed to be drawn but there is a clause against this.
Maybe it has a 4D solution as the pen has to be lifted into another dimension .

2) The other good point made is that every 'incoming line' must have an 'outgoing' line. In other words the lines meetng at an intersection or vertex should be even. :innocent:
Mally :coffee: