November 30th, 2017, 06:52 AM  #1 
Senior Member Joined: Nov 2011 Posts: 250 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, 08:08 AM  #2 
Senior Member Joined: Nov 2011 Posts: 250 Thanks: 3 
I think the number of folds that possible in A4 page is 28 folds. So the answer is no.

December 1st, 2017, 09:41 AM  #3 
Senior Member Joined: Nov 2011 Posts: 250 Thanks: 3 
But what about unlimited folds?
Last edited by skipjack; December 1st, 2017 at 10:05 AM. 
December 1st, 2017, 10:13 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,978 Thanks: 2229 
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, 10:37 AM  #5 
Senior Member Joined: Nov 2011 Posts: 250 Thanks: 3 
O.K. but only closely not accurate. The question is why?
Last edited by shaharhada; December 1st, 2017 at 10:41 AM. 
December 1st, 2017, 10:41 PM  #6 
Senior Member Joined: Nov 2011 Posts: 250 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, 07:18 AM  #7 
Senior Member Joined: Nov 2011 Posts: 250 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 03:23 AM. 
December 2nd, 2017, 09:50 AM  #8 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,685 Thanks: 2665 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.


Tags 
orgami, origami 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
$1,000 USD Prize  Origami Ellipse  long_quach  Trigonometry  12  August 12th, 2014 07:25 AM 
Origami constructions  studentx  Abstract Algebra  6  June 13th, 2014 11:57 PM 
Origami trouble  studentx  Abstract Algebra  8  May 18th, 2011 04:18 AM 