Well This Was Kind Of A Disaster | Sudoku Topology Puzzle N5

[@SmartAIGames]

Opposite faces are key to this topology.

[@emagrant1485]

I have no idea how anti-knight could work on that grid - but it could be fun to find out

[@laurasmith2173]

Well done Zeta. Doing logic puzzles while sick is difficult.

[@iabervon]

I couldn't tell what would have been useful to know in this puzzle, but I did have some grid thoughts: 12 regions and each cell being in 3 of them means that there are 4 of every digit. If you pick an orientation to be the top and a digit, there's got to be one of that digit in the top, one of that digit in the bottom, and two around the middle. The middle is kind of a zig-zag, alternating digits closer to the top and digits closer to the bottom. Of the regions around the top, a digit in the middle poking up takes care of two of them, while a digit in the middle poking down takes care of one of them. The top itself takes care of two of them, and, since there are five total, there must be one digit poking up and one poking down to get the other three. Considering the top and bottom, (as you noticed thinking of them as opposite corners), the matching digits can't be opposite each other, but I think every other alignment works.