[rookie1ja]

Folding Paper - Back to the Geometry Puzzles
Divide a paper into 8 sections and write numbers on it according to the picture. Your job is to fold it where the lines are so that the numbers are sorted - number 1 will be on the top, 2 under it,..., and the last one will be 8.
 skladanie1.gif (1.21K)
Number of downloads: 13443

Modification: It is the same objective, just the numbers have changed.
 skladanie2.gif (1.24K)
Number of downloads: 13374

Spoiler for Solution:

Folding Paper - solution
Trust me - it is possible. I have done it.

[apd.squeaky]

oh yay i've figured out the first one!

[MathieuB]

Here is a representation of the solution:
fold-1to8.jpg[/attachment:3679e]

1) fold on the diagonal of 5-7, to put 4 under 6
2) fold 5, and manage to fold it inside the previous fold
3) fold 6-7 under 8-3
4) fold 1-8 under 2-3
5) fold 2 under 3.

All the numbers are ordered, but some of them are fold in 2 on their diagonal (7 and 5).

For the second one, this is the solution (without drawing):
1) Fold 1-4 under 2-3 (5-8 are fold in the middle, so you now see only half of 8 and half of 5)
2) Fold 8-2-7 over 5-3-6
3) Fold 8 under 1
4) Fold 6 and 7 between 5 and 8

Attached File(s)

•  fold-1to8.jpg (18.34K)
  Number of downloads: 11081

[infomaniac.nick]

Hmm
I don't agree that folding the numbers in half are acceptable.
I have come up with solutions for both that have ALL numbers flat.

Also, I find it easier to work with if you have a peice of paper that has the numbers on both sides (but mirrored of course so that it makes sense)

Here's the first
1: Fold straight down the middle so that the 7 is behind the 8 and the 4 behind the 1 etc.
2: Fold the 1 and 8 behind so that the 2 and 3 are now on the front
3: Here's the tricky bit... Lift the 2 so that you can see a gap between the 3 and 6. Fold the 4 and 5 into that gap and flatten the whole thing.
4: Now simply fold the 2 and 1 over the 3.

The second is a lot trickier but again is possible with all flat sides.
1: Fold straight along the center so that the 4 comes UP in front of the 1, the 5 in front of the 8 etc.
2: Now fold the 4 and 1 onto the 5
Here's the confusing bit. But I promise, it does work.
3: Take the 6 and 7 and put it between the 4 and the 1 and keep pulling it through between the 5 and the 8. The 2 and 3 should follow and stay between the 1 and 2.

[rhea]

There are solutions that are actually much easier than the way you've described them.

The first one can be done in this manner:
1. fold down the horizontal axis so that the 2 is under the 1, 3 under 8 etc.
2. fold in half again along the vertical axis this time. so folding the 7 & 4 under the 1 & 8.
3. then fold the 8 under the 1.

For the second one:
1. fold down the horizontal axis again.
2. then fold each number behind the other. so first the 7 will go behind the 2. then the 7 will be behind the 8 and the 2 goes behind the 1 and the 8 will be on the bottom.

[iimpeachyz]

Lol cool, I tried it.
infomaniac.nick's way worked the best for me.

[dippnutt]

MathieuB, on May 11 2007, 10:25 PM, said:

Here is a representation of the solution:
3679e<!-- ia0 -->fold-1to8.jpg<!-- ia0 -->[/attachment:3679e]

1) fold on the diagonal**************no diagonals allowed!!!!***************** of 5-7, to put 4 under 6
2) fold 5, and manage to fold it inside the previous fold
3) fold 6-7 under 8-3
4) fold 1-8 under 2-3
5) fold 2 under 3.

All the numbers are ordered, but some of them are fold in 2 on their diagonal (7 and 5).

For the second one, this is the solution (without drawing):
1) Fold 1-4 under 2-3 (5-8 are fold in the middle, so you now see only half of 8 and half of 5)
2) Fold 8-2-7 over 5-3-6
3) Fold 8 under 1
4) Fold 6 and 7 between 5 and 8

[me4tunate]

rookie1ja, on Apr 1 2007, 12:19 AM, said:

Folding Paper - Back to the Geometry Puzzles
Divide a paper into 8 sections and write numbers on it according to the picture. Your job is to fold it where the lines are so that the numbers are sorted - number 1 will be on the top, 2 under it,..., and the last one will be 8.
skladanie1.gif

Modification: It is the same objective, just the numbers have changed.
skladanie2.gif

Spoiler for Solution:

Folding Paper - solution
Trust me - it is possible. I have done it.

i have done it!!! yay the last fold or move is to turn it inside out!!! easy peesy!!! gonna get another peice of paper and do the next one!!!

[me4tunate]

me4tunate, on Feb 17 2008, 11:32 PM, said:

i have done it!!! yay the last fold or move is to turn it inside out!!! easy peesy!!! gonna get another peice of paper and do the next one!!!

second one done too way to easy just gotta get them in orderr then turn them inside out and they be flat if paper thin and large!!! good luck have fun everyone

[ninethcircle]

So the instructions are "Divide a paper into 8 sections and write numbers on it according to the picture. Your job is to fold it where the lines are so that the numbers are sorted (number 1 will be on the top, 2 under it,..., and the last one will be 8)."
basically the only rules are, you need to draw it like the picture, we can only fold it on the lines and we need to put it in order. I solved this by

Spoiler for hint:

CUTTING along the red lines and folding as per these steps (they aren't numbered but I think you can follow them...) and before anyone gets into it...it really doesn't say you cant cut the paper only that it needs to be folded into order =)
 folding.JPG (22.67K)
Number of downloads: 22 And then just flip it over so 1 is on top