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 Post subject: Paper Puzzles?
PostPosted: Mon Jul 28, 2008 10:01 pm 
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Joined: Fri Feb 15, 2008 4:03 pm
Do any of you know how to make paper puzzles? I have been looking for about an hour now and thought of asking the people here if they know how to make any thing?

I got insired by this http://www.youtube.com/watch?v=cRZLn_nmNxs (description says puzzles but I dont know what it does)

And I only found this- http://www.uniqueprojects.com/projects/ ... mplico.htm (they are pretty fun to play with)

Any help is appreciated.

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 Post subject: Re: Paper Puzzles?
PostPosted: Mon Jul 28, 2008 10:51 pm 
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Location: Los Angeles
I hadn't seen the complico puzzle before. Very interesting.

As for the hexaflexagon, there's some interesting things you can do with it. There's ways to get many more numbers folded into that thing, and with more numbers, some become difficult to find. There's even ways with non-straight pieces of paper to get some non-multiple-of-six numbers of visible panels (like 7 ... that one's weird).
I'll try to describe the way to make larger flexagons with straight strips of paper. I don't remember specifically how long it has to be ... a little planning will make it readily apparent.
Take a long strip of paper and mark off consecutive equilateral triangles for the entire length (I usually just fold to mark them).
Then you're going to "twist" the paper. If you numbered the folds on the paper from left to right, valley fold 2, mountain fold 4, valley 6, mountain 8, etc.... until the strip of paper looks like it has the same number of panels as the simple version (if you do it, you'll understand), then just make the simple version with this twisted piece of paper. I don't know the number pattern, so I'll just suggest trying to make everything show up.
Sorry for the bad instructions, Be prepared for some trial and error.

edit: Found a page that shows how to fold some of the more complex ones.
http://home.adelphi.edu/~stemkoski/math ... xagon.html


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 Post subject: Re: Paper Puzzles?
PostPosted: Mon Jul 28, 2008 11:41 pm 
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Location: UK
BW693 wrote:
I got insired by this http://www.youtube.com/watch?v=cRZLn_nmNxs (description says puzzles but I dont know what it does)
:)That's my video. See topic: http://twistypuzzles.com/forum/viewtopic.php?f=1&t=9831
There is also a recent topic on slipagons http://twistypuzzles.com/forum/viewtopic.php?f=7&t=10344&hilit=slipagon

This http://www.murderousmaths.co.uk/GAMES/flex/flexmake.htm tells you how to make a trihexaflexagon (three hexagonal faces) and hexahexaflexagon. You can make a workable dodecahexaflexagon with twelve faces. As a puzzle you would have to expose all faces, one by one. You can use pictures.
There is a repetitive flexing sequence called the Tuckerman traverse which exposes all the faces - some more than once. With a picture version some states have the picture sectors positioned incorrectly. When I first made one I did consider it a puzzle but it's more of an amusement really.

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 Post subject: Re: Paper Puzzles?
PostPosted: Tue Jul 29, 2008 12:00 am 
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Joined: Tue Jun 24, 2008 6:40 pm
This really isn't a puzzle per se, but it is fun to put together, and it actually works! I put one of these together over 20 years ago.
http://www.amazon.com/gp/product/0060910666


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 Post subject: Re: Paper Puzzles?
PostPosted: Tue Jul 29, 2008 10:31 am 
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Joined: Thu Mar 09, 2006 12:19 pm
I kinda know of one - I wouldn't say it was a puzzle - like a twistypuzzle.

But you have 12 pieces of paper - you fold it up (Origami style) all the same way. Now because it's folded in such a way that it has flaps - you pretty much slide a corner of one piece into another fold of another piece.

You can pretty much make a cube - with 6 pieces; siamese cube with some more... but with the 12 it turns into a ball (urg, i'm not sure of the technical term for that shape).

I'll try and make it tonight - if I have the time - and take pics.

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 Post subject: Re: Paper Puzzles?
PostPosted: Tue Jul 29, 2008 12:12 pm 
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Joined: Wed Jun 25, 2008 6:30 am
Location: Berlin, Germany
MarkSS wrote:
BW693 wrote:
I got insired by this http://www.youtube.com/watch?v=cRZLn_nmNxs (description says puzzles but I dont know what it does)
:)That's my video.


How happy/proud is MarkSS right about now?!? :D

Interesting puzzles. I had never looked into these.


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 Post subject: Re: Paper Puzzles?
PostPosted: Wed Jul 30, 2008 11:00 am 
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Joined: Sun May 13, 2007 3:40 am
Location: Berlin, Germany
It's not quite the same, but here's another paper folding puzzle for you to print out:
http://home.comcast.net/~stegmann/allother.htm#fold-paper

Celia


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