In Brainiac: Science Abuse, there is a wonderful category called How Hard is Your Thing? (see [1]). Thaila Zucchi makes seemingly hard things undergo some of the ultimate stress tests: Can they stand the heat of thermite? The abrasion of an angle grinder? The impact of a ton of bricks?
There were several occasions in the history of mathematics when mathematicians had to answer to the question: how hard is your maths?
Glimpses of a fascinating world 