This is only about 3 seconds, so keep pressing play. It shows a cruciform mobius strip. Two intersecting mobius strips. This one orientates itself by having a hole in the base, so I'm not sure how useful it is in the study of topology; without the hole, maybe it has some interest. I have tried to ask a mathematician, but I don't necessarily have le mots juste. The crossing over of languages, the mathematician's and the accidental amateur's is an enjoyable exploration. Having a tangible object helps.
This mobius tells the story of Achilles and the tortoise. The tortoise slips through the hole and defeats Achilles.