Chess kings move only one square, but they can move in any direction.
The sudoku Anti-King constraint is global, applying to every digit, and means each digit does not repeat in any cell a chess king’s move away.
In practice, standard sudoku rules already prevent digits repeating in a row or column, so the Anti-King constraint only eliminates diagonally-adjacent repeats. Standard sudoku rules already prevent digits repeating in a box, so the Anti-King constraint only eliminate anything for digits along box borders.
I think most might recognize the Offspring song “Come Out and Play,” but I’m not entirely sure I want to excerpt lyrics about school shootings and gang violence and ultimately what might be a call for segregation. Even if the bassline slaps.
For this puzzle, let’s say the low, medium, and high digits which must rotate (and be separated) are planning nice surprises for each other, and definitely do not carry any weapons.
Doesn’t this grid look like the Tower of Hanoi puzzle? I’m going with that because Fisher-Price seems to market “Rock-a-Stack” under different names around the world, even though I colored the cages and now the pyramid regions look even more like the Fisher-Price rings/donuts.
I think the world would likely be a slightly better place with no kings anywhere at all. I’m pretty republican in that anti-monarchy sense. But I’m not calling for violence! I just don’t believe any sort of unitary authority can safely exist, and would like all those who attempt such things to be stopped from doing so.
Around this grid, we’ve embraced revolution, rejecting monarchy. No commonwealth, no unitary authority at all. So no digit repeats within a chess King’s move. Of course, normal Sudoku rules already eliminate repeated digits in orthogonally-adjacent cells, so really an Anti-King constraint only eliminates repeated digits in diagonal neighbors. Wacky kings!