Quote:
Originally Posted by Do it Right
a diagonal separated by one square from a knight (eg king on e2 vs knight on f4) requires the knight take at least 3 moves to give a single check
This is also very useful for arranging knight maneuvers in the middlegame. I think about this all the time in my games (maybe this is a sign I spend too much time thinking about where to put my knights).
Another knight axiom: they are poorly placed "defending each other". They do no such thing; they just get in each other's way.
A classic piece of endgame chess geometry: king needs to be within the "square" of the pawn to catch it before it queens.
A real axiom: keep the opposition. If you can't, keep the distant opposition (typically: move your king to the same color as the square of the opposing king).