I agree that the knight move is complemtenting both the diagonal and orthogonal move. But I like to point out something once Betza has said that it is very helpfull coincidence that the very different knight and bishop are so close in value on an 8x8 board. That is in a way arbitrary (in the way in the usual math pi is 3,.14... maybe someone with better philosophy background could explaid that sort of arbitrariness better) but the emerging properties of that are quite nice as now more diverse endgames are possible.
@Fergus
&the rest
I agree that the knight move is complemtenting both the diagonal and orthogonal move. But I like to point out something once Betza has said that it is very helpfull coincidence that the very different knight and bishop are so close in value on an 8x8 board. That is in a way arbitrary (in the way in the usual math pi is 3,.14... maybe someone with better philosophy background could explaid that sort of arbitrariness better) but the emerging properties of that are quite nice as now more diverse endgames are possible.