We reached this position after Silvio's move of 35...Ra1. At the time I was feeling rather glum about my prospects. I figured the a pawn was toast and Black's a and b pawns would be cruising down the board fairly easily. I didn't see much hope for my lonely d pawn. In reality my position wasn't as bad I thought, but I got it into my head that my only chance of winning was to try for some crazy rook and knight mate. This was the pattern I had in mind.
With that idea in my head I played 36.h4 h5? He knew what I was up to so he stopped my advance, but better would have been to simply play 36...Rxa5. So I went with plan B which was to march the king up there. 37.Kf4 Rf1+? A mistake since that drives my king to where I want him. 38.Kg5 Nd5 39.Ng6 Rf5 This is desperate try on black's part to put off the inevitable mate on h8. 40.Kxf5 Ne3+ 41.Kg5 1-0
After the game was done we started analysing. Now we get to my chess riddle that I made up. In the course of our Fritz-less analysis some how we arrived at the following position.
pw-sr analysis 071808.pgn
We spent a lot of time with the variation where I chase the king around he keeps making interpositions with one of the two queens. It took us a long time to come up with the idea that interposing isn't really necessary. Just run the king to a spot where white runs out of checks or allows black to interpose with check, forcing the queen trade. When writing this post I let Fritz loose on the position. All I can say is Fritz makes it look so simple.