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Here it goes: In how many equal parts can any piece of paper be folded?
I have the answer already, but who answers correcly will get the points and I'll choose his/her answer as the best answer. By the way, there's only 1 answer to it haha.

2006-08-19 11:20:33 · 11 answers · asked by Zach 3 in Science & Mathematics Mathematics

"correctly" isn't spelled right but whatever lol

2006-08-19 11:22:32 · update #1

OK, according to Scott R, pieces without reflectional symmetry are not included in this question, neither pieces of paper with shapes with 4 and more sides, because they can't be folded in equal pieces after a few foldings. It's applicable only for squares, rectangles, and triangles.

2006-08-19 13:25:51 · update #2

11 answers

If the piece of paper in question has reflectional symmetry then the answer is 2 for one fold.
If you're folding it more than once, the question becomes more complicated, and depends on the shape of the piece of paper.
A standard rectangular piece can be folded into 2^n equal parts with n folds for instance, whereas a hexagonal shaped piece of paper can only be folded twice into 4 equal parts, an octagon thrice into 8, etc.
If the original piece of paper does not have reflectional symmetry then the answer is 0.
Therefore the question as asked (involving "any piece of paper") does not have a unique solution.

******************************

2^n where n is the number of folds is the answer for a rectangle.
If you are talking about a real piece of paper, and not a mathematical abstraction then the answer could be argued to be 4096, or 2^12. The current world record for folding a piece of paper in half is 12. See:
http://pomonahistorical.org/12times.htm
and
http://mathworld.wolfram.com/Folding.html

This shows that it is a (false) urban legend that paper can only be folded 7 (or 8) times.

(note: it could further be argued however that the parts that are formed after the 12 folds are not truely equal, since each subsequent fold after the first produces slightly different shapes due to the fact that more layers of paper are involved in the new fold. Therefore the answer reverts to 2 parts after 1 fold.)

2006-08-19 12:42:18 · answer #1 · answered by Scott R 6 · 0 0

6 times

2006-08-19 12:30:12 · answer #2 · answered by andreicnx 3 · 0 0

7

2006-08-19 12:12:31 · answer #3 · answered by venus11224 6 · 0 0

5

2006-08-19 11:31:30 · answer #4 · answered by curiositykillsthecat 4 · 0 0

It's 7 times.

2006-08-19 11:39:10 · answer #5 · answered by MollyMAM 6 · 0 0

Seven (7) times

2006-08-19 11:28:14 · answer #6 · answered by Anonymous · 0 0

2 parts if folded from two sides
4 parts if folded from four corners

2006-08-19 12:33:10 · answer #7 · answered by Ali 2 · 0 0

I answer first, and if the answering makes me think of or makes my day, then i will action picture star. i be conscious of...it extremely is choosy of me, sorry. o.o yet this variety I finally end up pointing my followers and contacts to the *solid stuff* you be conscious of? ^__^ Or a minimal of i attempt to. yet have a action picture star besides in basic terms for being affected person and records. ^_^

2016-12-14 08:25:12 · answer #8 · answered by Anonymous · 0 0

I changed it. It's six (6) times.

2006-08-19 11:25:38 · answer #9 · answered by Anonymous · 0 0

They say it's impossible to do it 9 times.

With tracing paper it might be easier.

2006-08-19 11:32:34 · answer #10 · answered by JoeIQ 4 · 0 0

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