Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

This question already has an answer here:

I am trying to fold paper so that it looks like 3 x 4 grid of 12 rectangles of equal size.

Like this https://www.wolframalpha.com/input/?i=3+x+4

Its easy to get 4 rectangles. Just fold twice. But how to get 3?

share|improve this question

marked as duplicate by Sami Ben Romdhane, RecklessReckoner, Claude Leibovici, AlexR, Magdiragdag Apr 5 at 9:30

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

    
The Pythagoras theorem may help $3^2+4^2=5^2$ is the relationship b/w sides of a right triangle. –  Daved May 16 '13 at 6:55
    
math.stackexchange.com/questions/736346/… This would help you divide it into 3 parts –  Harshal Gajjar Apr 5 at 7:43
1  
This question was asked before that question so that one is duplicate of this one :D lol –  Pratik Deoghare Apr 5 at 18:18
1  
This question is 11 months older –  Henry Apr 7 at 7:19

4 Answers 4

Let the paper be $[0,a]\times[0,b]$ By halving you find $(\frac a2,0)$, make a crease to find the line through $(\frac a2,0)$ and $(0,b)$. This intersects the diagonal at $(\frac a3,\frac b3)$.

share|improve this answer

http://upload.wikimedia.org/wikipedia/commons/8/8d/Haga_theorem_1.svg

If your piece of paper is a square ABCD of side length 1, then from the diagram, if AP=1/2, then QC=1/3.

share|improve this answer

(Stealing from Hagen von Eitzen's answer and Ross Millikan diagram at Can a piece of A4 paper be folded in exactly three equal parts?)

Graphical representation of the folds

  1. Fold the paper into four equal horizontal strips with two folds

  2. Fold a diagonal across the top three horizontal strips

  3. Fold vertical strips at the two points where the diagonal crosses the horizontal strips.

share|improve this answer

Fold the side in such a way that folded sides overlap each other then you will get three equal folds.For this you need to fold them at same rate. Thanks julian fernandez

share|improve this answer
    
I apologize, by my comment (and original answer) was wrong! (same as yours!) –  julian fernandez May 16 '13 at 6:28

Not the answer you're looking for? Browse other questions tagged or ask your own question.