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Cut 'n' Paste

Science brain teasers require understanding of the physical or biological world and the laws that govern it.


Puzzle ID:#16704
Fun:*** (3)
Difficulty:** (1.61)
Submitted By:mr_smarty-pants**




This one is a "mental" exercise - don't use paper and scissors - just imagine in your mind:

Take a sheet of paper - any size that you happened to have (remember, just imagine this paper). Now fold this sheet of paper in half and now fold it in half again, at right angles to the first fold. Now you have four thicknesses of paper. Now imagine you use scissors and cut through all four thicknesses, right down the middle of the paper, parallel to the first fold you made. Now, imagine, how many pieces of paper do you have now? Don't get paper and scissors to solve this one - try to picture this in your mind!

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Mar 01, 2004

An enjoyable, quick mental exercise - thanks!
Mar 02, 2004

For some reason i ended up with 5
Mar 02, 2004

i folded it 3 times. Duh!
Mar 03, 2004

When do we paste them?
Mar 04, 2004

How cute. I was sure there would be only 2. Aren't we predictable?
Apr 23, 2004

Yay, I got it! (maybe I should do more of this sort...)
Jun 09, 2004

I got a paper cut in my head, and was unable to complete the exercise.
Jul 05, 2004

Jan 14, 2005

i did not get it
Jun 02, 2005

Thanks, real thought provoking. I am sitting here are my desk, folding my hands together continously simulating folding the paper. I must look pretty silly.
Jul 22, 2005

Son of a gun! You're right! This is definitely one of my favorites!
Nov 10, 2005

wow. i thought "2, duh." well.... i never said i was good at visualazations. good teaser tho.
Nov 27, 2005

i still dont get it
Feb 26, 2006

WOW!!! That is sooo cool!
Feb 09, 2008

good one!
Feb 09, 2008

Wooo! I found that quite easy but still really fun. More visualisation puzzles please!
Feb 09, 2008

I'm with bookworm and jimbo, I guessed 2. Will definitely have to try this one. Fun teaser.
Feb 09, 2008

Very elementary.Sorry.
Feb 09, 2008

It's about me and my imagination... We arrived at 6 And we feel pretty inept
Feb 09, 2008

I liked this one. I thought it would be two, but when I made the first fold with a real piece of paper I realized it would be three. Thanks
Feb 09, 2008

Feb 09, 2008

I was like "drussel3" "folding" my hands and imagining cutting the paper. But, I couldn't "unfold" the paper in my mind to count the pieces...
Feb 09, 2008

grrr. i got it wrong. i was thinking 8.
Feb 09, 2008

I found it quite easy though fun! I loved it! Please make more!
Feb 09, 2008

I'm already "mental" and you give me a mental teaser. I'm like the other person with the paper cut on the brain. I could only come up with two pieces, until I used the real paper.

Feb 09, 2008

Eek. I said none because I was supposed to be "imagining" the paper, so there wouldn't really be any. I just figured it was a trick teaser...woops
Feb 09, 2008

Very easy, no paper was harm during the exercise

Mind can play tricks on us. In this one, people will actually fold it in their minds. After the cutting part, they either remember you mention 4 and will think of automatically 8 , or they will suspect a trick and will fold the paper again. This time, guessing they are smart enough, they will say: "it is just one piece of paper, so if you cut it in the middle you will get two pieces". Logical!!!

But if you think of it different, thinking on folds instead, it is easier: the paper has two folds.One fold will make 1 sheet into 2. Another fold will make 2 sheets into 4. If you cut half that, you are splitting only one fold, leaving the other. You end up with four sheets, two with one fold, another two with another fold and four with two. Unfolding releases 4 to 1, and 2 to 1. Three pieces.

Humm, I guess it is easier looking at it....
Feb 09, 2008

i only had 2 pieces..
Feb 09, 2008

i tried it again...i got 3 this time
Feb 09, 2008

I only got 2 in my head, but 3 in the real world. Very good teaser.
Feb 09, 2008

I got it and then checked with a piece of paper

That single piece with two folds took some thought.

I Liked This. Fun and Different
& a Degree of Challenge to It.

Thanks for Posting
Feb 09, 2008

By the By he said 4 Thicknesses
of Paper not 4 Pieces so you have to read closely & pay attention.
Not misleading at All.
Feb 09, 2008

fun and easy teaser... i got the answer on the first mental fold... if you fold the paper once and cut parallel to the fold you get 3, and by folding twice, you cut parallel to one of the folds regardless of which center you cut down
Feb 09, 2008

Neat-O, thanks! I thought with one cut you couldn't end up with an odd number or more than 2 ... so I thought (confidently) the answer had to be 2 ... what's so hard about that? I was really surprised to find 3 pieces of papaer in my hand. I'm usually very good at this sort of thing.
Feb 10, 2008

Okay so I finally got it... The wording was a little confussing. The folding at the right angle thingy. I think you should of said simply fold it in half, and then fold it in half again. But still a wonderful teaser. Thanks.
Feb 10, 2008

A great, brain-twisting teaser! I have creases in my gray matter from this one!
Feb 10, 2008

Willymapo, what in the world are you talking about?
Feb 13, 2008

Actually, the answer is a little says no matter which direction you cut the paper it will be three pieces. Only if all the cuts are parallel to the folds...if not, you can cut from one folded side to another, and end up with only two pieces of paper.
Feb 09, 2011

Very cute. I think I may have done hand actions while thinking though
Feb 09, 2011

I now have 503 sheets of paper. I was folding and cutting the last sheet of paper out of my printer. Before I finished my cut, my wife got home from Wal-Mart and handed me a 500 sheet pack of printer paper.
Feb 09, 2011

dsjt ^
Feb 09, 2011

boy do i feel dumb now! i thought i was good at visualization
Feb 09, 2011

I got the right answer to the original problem, but technically the added comment is wrong.

it is possible to make one cut and get four pieces. The cut is not parallel to an edge, but one cut through all 4 pieces is made.

To prove this, you cut from the point of pape that all of the folds meet across the paper at an angle.

Just being pedantic here.
Mar 27, 2012

OOOHHHH...!!! I thought its answer is,"you will have no piece of paper because it's just imagination".....
Jul 28, 2012

i got it right
Feb 09, 2014

3 pieces of paper and its 11th year on briangle. Is this one worn out yet?
Feb 09, 2014

Somehow I ended up with 37...?

Ohh hang on. You said scissors. I thought you said document shredder.
Feb 09, 2014

Knowing my limitations on visualizing, I skipped right to the comments and had a whole heap o' fun!

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