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The light channel puzzles mentioned were Eulerian circuit problems, where you won by lighting up all the channels in one continuous line, and were allowed to use the same button more than once.

There's another variation that can be made, where the objective is to use each button once, but you don't have to light all the channels in doing so. If you add returning to the first button to create a closed path, then you have a Hamiltonian Circuit. I could add that kind of puzzle using the same components as the Eulerian one, but would that be too confusing?

(Edit:) One option is to use the cube sockets as the nodes. It's obvious that you can only fill a socket once, and I can connect them via floor channels to make it clear you're defining a path. The opening covers reinforce the availability of the adjacent nodes. This could make the socket puzzle more challenging than those in the existing games. This only needs one type/color of cube, too.