An astounding tactical resource

ChessCafe.com recently named Invisible Moves by Yochanan Afek and Emmanuel Neiman its 2011 Book of the Year. Invisible Moves beat out very tough competition, including fellow finalists How to Reassess Your Chess (4th edition) by Jeremy Silman and Lessons With a Grandmaster by Boris Gulko and Dr. Joel R. Sneed.

Here is a remarkable position from that book. In the diagrammed position, White's position looks hopeless, with his poor king under siege. Unsurprisingly, White immediately succumbed with 36.Qxg3? Qh1#. White missed an amazing resource that would have saved the game! Can you see it?