Ok, @sandwichmaker , here goes! <cracks knuckles>. I'll begin with the *multivariate* case, which is where I actually got interested, in the mid-nineties: https://t.co/AP1PyDbP6P (use https://t.co/tfxiQBUsUD if that link doesn't work, and your library will open the ACM DL) 1/17
Here's a surprisingly unsolved problem in math: Proof of the existence of the perfect Euler brick – a rectangular parallelepiped with integer-length edges, integer-length face diagonals, and an integer-length body diagonal. pic.twitter.com/iKpc8YdT49