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November 30th, 2017, 07:52 AM   #1
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origami

There is a proof that it can be a way to fold A4 page to a circle?
Why not? Why yes?
[This is the last question for today so sorry on the overflow]
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December 1st, 2017, 09:08 AM   #2
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I think the number of folds that possible in A4 page is 28 folds. So the answer is no.
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December 1st, 2017, 10:41 AM   #3
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But what about unlimited folds?

Last edited by skipjack; December 1st, 2017 at 11:05 AM.
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December 1st, 2017, 11:13 AM   #4
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Each fold produces a straight edge, but an approximation to a circle is possible by drawing a circle on the paper and then making folds as close to it as you can.
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December 1st, 2017, 11:37 AM   #5
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O.K. but only closely not accurate. The question is why?

Last edited by shaharhada; December 1st, 2017 at 11:41 AM.
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December 1st, 2017, 11:41 PM   #6
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In my original question: cutting is forbidden. But if you can't answer with no cutting so give a solution to a minimum cutting operations.
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December 2nd, 2017, 08:18 AM   #7
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Because there are no responses to this post, I think to give a little help as much I know. Probably, there is a formula or method that can help. If somebody know a formula for things like this, it can very helpful to develop this post.
Thank you!!!

Last edited by skipjack; December 3rd, 2017 at 04:23 AM.
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December 2nd, 2017, 10:50 AM   #8
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I think that if you investigate curvature of spaces, you'll find that it's impossible because you need curved space to make curved folds and the paper is flat space.
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