Vi Hart had a great vid on Hexaflexagons
<a href="https://www.youtube.com/watch?v=VIVIegSt81k" rel="nofollow">https://www.youtube.com/watch?v=VIVIegSt81k</a>
I made a tetratetraflexagon for my wedding program. I ended up making a script to use ImageMagick to convert four images into two images suitable for printing on both sides of an 8.5"x11" sheet of paper. The scripts, example images, and instructions are here:<p><a href="https://www.timpark.org/making-a-tetratetraflexagon/" rel="nofollow">https://www.timpark.org/making-a-tetratetraflexagon/</a>
Hexagons are the bestagons<p><a href="https://youtu.be/thOifuHs6eY?si=S93Rm1e1EDWmOSUd" rel="nofollow">https://youtu.be/thOifuHs6eY?si=S93Rm1e1EDWmOSUd</a>
I have never been less enlightened by a wikipedia page. Some youtube videos cleared up at least the mechanics of the basic versions, but what it means to have the various higher order flexagons is completely mysterious to me even having read this page.
The glue-free cyclic hexatetraflexagon is my favorite. IMO it's actually really easy to make; I'm not sure why the article calls it complicated.
I didn't know this is what they were called. I have a desk toy called a shashibo that I think is based on this. Fun and pretty sturdy little thing.
see also the Mexiflexagon: <a href="https://www.youtube.com/watch?v=GTwrVAbV56o" rel="nofollow">https://www.youtube.com/watch?v=GTwrVAbV56o</a>
Before clicking I thought it was about flexhedra, but I got confused. But since there is seemingly no Wikipedia page for it here is a French video (subtitled, hopefully with a high enough quality) describing it briefly. <a href="https://www.youtube.com/watch?v=Kg3_gLO-reE" rel="nofollow">https://www.youtube.com/watch?v=Kg3_gLO-reE</a>
My 7th grade science teacher (hi Mrs. Ericson!) had us make tetratetraflexagons in 1998 and I thought, literally until today, that she had made up that word. She also has us make science-themed dodecahedrons so I guess I should have been clued into the fact that she secretly loved geometry / topology.
i remember fiddling with these in the late 1960s after reading about them in one of martin gardner's books. quite a lot of fun for basically no cost.