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Infinite cranes served three ways

PostPosted: January 10th, 2017, 7:40 pm
by Cadix
Hi,

I'm putting together a small overview of the three ways I've come up with to fold an infinite number of cranes out of paper at the theoretical limits. This is a rough draft (a few of the pictures are placeholders or missing), but it should be easy enough to follow.

Infinite cranes three ways.pdf

If you have any thoughts I'd be happy to hear them. If you recognize something that's already been done please call that out.

All the best,

Tyler

Re: Infinite cranes served three ways

PostPosted: January 11th, 2017, 1:55 am
by noneuclidean
Interesting idea! Could you elaborate on the third way or include more pictures explaining what you mean?

Re: Infinite cranes served three ways

PostPosted: January 11th, 2017, 2:54 am
by BlazeWarrior
I'm really sleepy to read it all right now, but it looks really interesting, even for folding myself if it gets to a final result. WIsh ya good luck on it
I'd like to see some pictures of the results too

Re: Infinite cranes served three ways

PostPosted: January 11th, 2017, 8:16 am
by origami_8
Very interesting file you put together.
Some years ago an article circulated about someone who folded the thousand cranes from a loooong strip of paper. Unlike the method you use, his cranes had the tips of the wings directly connected, forming one point. It was pretty impressing.

Re: Infinite cranes served three ways

PostPosted: January 11th, 2017, 4:40 pm
by Cadix
noneuclidean wrote:Interesting idea! Could you elaborate on the third way or include more pictures explaining what you mean?

I'll try to make the third section more clear. I think I can add more close-ups of the folding in-progress to help it make more sense.

It occurs to me the best way to think of it is in terms of traditional connected cranes: renzuru But instead of using scissors to make the slits in the paper, you use a recursive petal fold :-)

BlazeWarrior wrote:I'm really sleepy to read it all right now, but it looks really interesting, even for folding myself if it gets to a final result. WIsh ya good luck on it I'd like to see some pictures of the results too

I'll add pictures of the results as they come up, but some of them are neigh unfoldable in real life because paper has thickness and my fingers are big :-)

origami_8 wrote:Very interesting file you put together. Some years ago an article circulated about someone who folded the thousand cranes from a loooong strip of paper. Unlike the method you use, his cranes had the tips of the wings directly connected, forming one point. It was pretty impressing.

Wow, I've never come close to 1,000 out of one sheet. That's awesome :-). In the theoretical sense my cranes should touch at exactly the tips of the wings, but in reality it is too hard to fold the excess paper far enough under for it to look really good.

Re: Infinite cranes served three ways

PostPosted: January 11th, 2017, 4:46 pm
by origami_8
I think the method he used was putting waterbomb bases next to each other and turning them into cranes with interlocked wings. Unfortunately the article has long vanished and it seems impossible to find a picture.

Re: Infinite cranes served three ways

PostPosted: January 13th, 2017, 11:14 pm
by Cadix
@noneuclidean

https://www.youtube.com/watch?v=TRr5ozdkU5c&t=12s might help clear up the third type of cranes I designed. It's exactly this except fractal and using a recursive petal fold instead of scissors :-)