To bring this problem into our kitchen, last summer my fiancee and I block-painted 100 colored and symboled canvases to manipulate around on a 10x10 grid of peg

To bring this problem into our kitchen, last summer my fiancee and I block-painted 100 colored and symboled canvases to manipulate around on a 10x10 grid of pegs on our wall[0] The first solution to this 10x10 version was discovered in 1959, and Euler died believing it impossible... so our most likely expectation is that we won't find the solution in our lifetimes. Still, it's fun to solve progressively bigger sub-puzzles on the grid, and it's nice to always have a nut too tough to crack in your life. I've set aside this paper to read tomorrow. Naturally, the quantum solutions are not valid on our kitchen wall! [0] https://imgur.com/a/tPj0tZB https://imgur.com/a/tPj0tZB