A wet sponge, a coffee filter, and a probability puzzle mathematicians called a holy grail.

For decades they knew how random openings become a system-wide connection in easy cases, and not in the dimensions closest to the real world. Then a language model posted a checked proof, days after a Fields Medalist predicted the machines would get there first. What changes is not the shape of the answer. It is who gets to finish the lighthouse problem, and what is left for humans to do.

This episode includes AI-generated content.