How assigning impossible-to-solve problems can get mathematics students (or researchers) to take a step back and look at the bigger picture: Patrick Honner in Quanta, https://www.quantamagazine.org/some-math-problems-seem-impossible-that-can-be-a-good-thing-20201118/
I think it needs interactivity, though. It would be mean to do this on a problem set or exam.