That is really cool. I wish it had an animated video to display the result, that'd be even easier to follow and therefore even more impressive.
Folding could be called a superset of measuring.
Measuring could be called a special case of folding (it's an accordian fold)
I enjoy when HN surfaces out-of-the-box type stuff like this. Very cool.
Lovely.
Folding is more powerful than ruler and compass constructions. One can do cube roots, angle trisections etc.
It's a strange coincidence that I commented about straight edge and ruler constructions in a different thread.
https://news.ycombinator.com/item?id=47112418
Related thread from several months ago
https://news.ycombinator.com/item?id=45222882