While the Penrose tribar only has one hole, this has a countable infinity of them... each giving the opportunity for an impossible twist!

In this paper, Penrose showed that his tribar gives a nontrivial element of first cohomology:

iri.upc.edu/people/ros/Str…

I would do this here, but this tweet is getting a bit technical and I need to get some work done.

ams.org/publicoutreach…

Have fun!