I could not find an object which quite matched what I was looking for, so here it is for anyone else who wants to use/modify it.

Basically I wanted to create a toroid (https://en.wikipedia.org/wiki/Toroid) which looped in the shape of a Möbius strip (https://en.wikipedia.org/wiki/M%C3%B6bius_strip), while also having a spiral groove pattern on its surface (my intention is to wrap copper wire around the shape to create an induction coil (https://en.wikipedia.org/wiki/Induction_coil) with a novel shape) which wraps all the way around the outside of the toroid.

I'm not sure what to call this shape, so I called it a mobioid