A while ago I came across a youtube video with instructions on how to make a Mobius kaleidocycle out of folded paper hypers – a kaleidocycle with a twist! So of course I had to try making one out of warped squares!
It worked! And it’s great fun to play with. It’s just a strip of 7 warped squares made into a Mobius strip (i.e. twisted once before being joined into a ring). But it also cycles!
If the colours look familiar that’s because they’re the CGB prism colourway!
I don’t know if it would work with regular tetrahedra, but I think the warped squares distort more than a beadwork tetrahedron would and allow it to turn.
This is actually the second Mobius kaleidocycle I’ve made – while I was planning out a peyote version of the trefoil knot kaleidocycle I discovered that it also has a twist (which is awesome but did cause a few issues with the pattern I had planned for it!).
It would be interesting to see if other Mobius cycles can work – maybe with a longer strip of squares more than one twist is possible!