Use the fact that a set of people corresponding to the real numbers are laying in a single line to prove that the real numbers are countable, thus throwing the mathematics community into chaos, and using this as a distraction to sabotage the trolley and save everybody.
Earlier this year I tried out a Steam demo of a game called "That Time I Found a Box" and got hooked on it. It's a very unique card game where you create and enhance the cards as you play. I played it for days and eventually beat the demo - the devs told me I was the first person to beat it.
The full version just came out on Steam - I'd recommend taking a look. It's a bit janky and not for everybody, but it does something unique that really clicked for me.
Mine is pretty dumb, but it was a joke website from 2000-ish called One Day I Will Walk Like Walt Disney. Years later I remembered it but couldn't find it; but I eventually did thanks to the Wayback Machine:
It has different sections including Brain Teasers (Aunt Fredererick's Sand was my favorite), and "Don't believe it or do" with such interesting facts as:
Contrary to popular belief, the Titanic never hit an iceberg and sank in 1912. Rather, it sailed successfully to New York City many times. It was finally decommissioned in 1978 and converted into a pinball arcade.
bought, caught, taught, fought, thought, sought, and wrought are all past tense verbs and all rhyme. The present tense forms are buy, catch, teach, fight, think, seek, and work, none of which rhyme.
I know this is a meme, but imagine seeing something this fucking cool looking and being like "yeah, but it probably doesn't taste the way i imagine it so I'm sad"
Use the fact that a set of people corresponding to the real numbers are laying in a single line to prove that the real numbers are countable, thus throwing the mathematics community into chaos, and using this as a distraction to sabotage the trolley and save everybody.