There are lots of amazing paper Möbius strips that are fun. You can cut down the middle, twist multiple times, make a Möbius paper chain, and try it with various materials. For a basic paper tutorial, I found a good one here.

Rather than creating the classic paper strips, this week learners will be creating Möbius strips with clay. Using a polymer or air-dry clay, encourage the creation of these wonderful mathematical shapes with a sculpting medium. A clay extruder can come in handy, but isn’t necessary.

I have had students make pendants, infinity signs, and amazing patterns with their projects. For advanced sculpting, learners can create a paper strip first, and then sculpt the same curves.

Matt Parker with Standupmaths also has a great video on these fun strips and how they can make linked hearts: