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Best sequence to crease an octagon inside a square?

Posted: May 30th, 2013, 3:23 am
by Gerardo
Three years ago I created my Eight sided box. I'm now trying to find out a way to teach how to fold it.

In order to fold it I first crease an octagon exactly in the center of the paper square. For the box I crease an octagon which width and height are equal to 1/3 of the width and height of the paper square. I can easily do that without leaving marks inside the octagon. The problem is with the lid, in order to fold it I need to crease an octagon in the center of the square which width and height are equal to 3/5 of the width and height of the paper.

Here is an image of the octagon of 3/5 inside the square:

Image

Can you please help me find the best sequence of folds to do this? It would be perfect if, during the process, the octagon doesn't end up with creases inside.

Re: Best sequence to crease an octagon inside a square?

Posted: May 31st, 2013, 3:51 pm
by Gerardo
Hi, I wanted to share with you this solution that Long Quach sent me. He found my question and thought about helping me out through email. At first I didn't understand the image but once I did it worked very well; the numbers represent the sequence of folds. Thanks Long Quach :)

Image

If anyone else can also offer a different solution I would appreciate it.

Re: Best sequence to crease an octagon inside a square?

Posted: June 1st, 2013, 3:22 pm
by Gerardo
Here's the proof regarding Long Quach's solution:

Image

Re: Best sequence to crease an octagon inside a square?

Posted: June 1st, 2013, 3:35 pm
by Gerardo
This solution is from FlareglooM. It was sent to me as a private message :)

http://glamdring.se/users/2fd181ca7bb19 ... ctagon.pdf

Thanks a lot!

Re: Best sequence to crease an octagon inside a square?

Posted: June 1st, 2013, 5:44 pm
by Gerardo
Gerardo wrote:This solution is from FlareglooM. It was sent to me as a private message :)
This is Long Quach's test of FlareglooM's solution:

Image