This summer’s project is topological knitting (and maybe some crochet as well). Here are some resources to get us started:
Moebius band cast-on: https://www.youtube.com/watch?v=LVnTda7F2V4
Topological knitting resources from dr. sarah-marie belcastro: http://www.toroidalsnark.net/mathknit.html
All of sara-marie belcastro’s publicly-available Ravelry projects: https://www.ravelry.com/projects/smbelcas
My own (not very exciting) Ravelry profile: https://www.ravelry.com/people/Jvbutter
A needlessly long explanation of the crochet moss stitch: https://mycrochetory.com/crochet-the-moss-stitch-tutorial/
An academic paper about knitting and topology: belcastro, s-m. Every Topological Surface Can Be Knit: A Proof, Journal of Mathematics and the Arts 3(2) June 2009, 67–83.