@NelsonMoore Yeah, but we are talking about standard chess. Plus, why not take on f7 with the queen. That wins by blowing up the king.
Possibility of a Triple check???

So the position Nelson Moore is showing is not possible in atomic chess, the king is in check by the queen and by the bishop allready which cannot happen. Still i think that in atomic chess a triple check is possible...

@NelsonMoore Yeah, but we are talking about standard chess. Plus, why not take on f7 with the queen. That wins by blowing up the king.
We are talking about getting a triple check. Checkmate has no importance here.

Even if in this position, white could castle, there is no way to give the 3rd check with the rook. Since diagonals are the only way castling could give double check, then the king and rook must be an even number of squares apart, meaning it would have to be queenside castling. The rook cannot give the 3rd check because it could never be able to land exactly in between the 2 diagonal checks, giving the 3rd check because the king goes on that square.

Even if in this position, white could castle, there is no way to give the 3rd check with the rook. Since diagonals are the only way castling could give double check, then the king and rook must be an even number of squares apart, meaning it would have to be queenside castling. The rook cannot give the 3rd check because it could never be able to land exactly in between the 2 diagonal checks, giving the 3rd check because the king goes on that square.
If 0-0-0-0 is legal.

I BET IT IS POSSIBLE IN CHESS 960
The only difference is the position of the pieces on the back row.

Moving any piece to cause a discovered check can only cause a check along one file, rank or diagonal and therefore can only cause one piece to apply check. If the piece moved itself also causes check, that's double check. There's no way to triple check.

Triple checks are possible in the four-way-chess. A new variant chess that chess.com introduced.
https://www.chess.com/4-player-chess

Double checks are really powerful, as we know. They are foundations for smothered mate and many other beautiful attacks.
The above position is absolutely legal. Checking with an engine, it finds no error in the calculation and says Kb6 is the move. But is it really possible? Can't a tricky en passant or a pawn promotion execute a triple check some way?
this position is not legal. and not even a triple check...

this position is not legal. and not even a triple check...
The position is itself not an error.
That is illegal.