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 November 30th, 2017, 07:52 AM #1 Senior Member   Joined: Nov 2011 Posts: 247 Thanks: 3 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]
 December 1st, 2017, 09:08 AM #2 Senior Member   Joined: Nov 2011 Posts: 247 Thanks: 3 I think the number of folds that possible in A4 page is 28 folds. So the answer is no.
 December 1st, 2017, 10:41 AM #3 Senior Member   Joined: Nov 2011 Posts: 247 Thanks: 3 But what about unlimited folds? Last edited by skipjack; December 1st, 2017 at 11:05 AM.
 December 1st, 2017, 11:13 AM #4 Global Moderator   Joined: Dec 2006 Posts: 20,089 Thanks: 1902 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.
 December 1st, 2017, 11:37 AM #5 Senior Member   Joined: Nov 2011 Posts: 247 Thanks: 3 O.K. but only closely not accurate. The question is why? Last edited by shaharhada; December 1st, 2017 at 11:41 AM.
 December 1st, 2017, 11:41 PM #6 Senior Member   Joined: Nov 2011 Posts: 247 Thanks: 3 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.
 December 2nd, 2017, 08:18 AM #7 Senior Member   Joined: Nov 2011 Posts: 247 Thanks: 3 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.
 December 2nd, 2017, 10:50 AM #8 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,550 Thanks: 2551 Math Focus: Mainly analysis and algebra 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. Thanks from shaharhada

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