Reti puzzle - White to draw

I found this amazing chess puzzle while browsing Encyclopedia Britannica. It just shows how incredible the game of chess can be!

White to play and draw, a chess composition by Richard Réti (c. 1922)

Initially it appears that White is lost because the Black pawn can outrace the White king to its queening square at h1, while the Black king can easily intercept the White pawn on its way to its queening square at c8. However, by moving the White king diagonally, and thus closer at each move to both pawns, White can eventually force Black to choose between losing the Black pawn or stopping the White pawn. In either case (no pawns or two queens), the result is a theoretical draw.

Encyclopædia Britannica, Inc.

Its strange how a white king moves the same amount of steps in a straight line as in diagonal lines.

 You'd be surprised, even a black king does.

Classic puzzle. No matter how many times I've played it, how many young players I shown it, I still look at it and marvel--there's no way that king can do that! Excellent example of a double attack.