Page 1 of 1
Fold and Cut Theorem
Posted: December 6th, 2019, 10:08 pm
by mhlingo
Hello! I have been trying to create a non symmetrical trapezoid and a non-convex pentagon using the fold and cut theorem but have been struggling. I was wondering if anyone knew how to do this since the shapes I need to make are not symmetrical. Thank you!
C87C6C96-1583-451E-9B63-197F52C4D0BA by
Minna Lingo, on Flickr
Re: Fold and Cut Theorem
Posted: December 7th, 2019, 2:50 pm
by Baltorigamist
(Since this appears to be a homework problem, I won’t give the full solutions.)
For the trapezoid, extend the bases until they intersect and fold the angle bisector.
The pentagon is a little more complicated. I would start with folding bisectors at the tips.
Good luck!
Re: Fold and Cut Theorem
Posted: December 7th, 2019, 7:09 pm
by Tankoda
Check out this article
https://erikdemaine.org/foldcut/.
You'll want to construct the straight skeletons for those polygons.
I don't think this is giving too much away