Pawnless Endings Part 1: KBB vs K
In the previous post, where I demonstrated how to win KQ vs K + minor piece could rightly be considered Part 0 of this series. In light of that, I would have to call the earlier post about KNNN vs K Part -1. This time, I'm going to take a step back and cover the two pawnless endings that you ought to know. KNB vs K and KBB vs K don't happen very often in practical play, and I seem to recall Jeremy Silman writing that it's a waste of time to study these endings. I disagree, and while I don't want to belabor the point, I will say that knowledge of these two endgames is fundamental to winning more difficult positions that I will take on later.
The easiest of these two is with the pair of Bishops. If you look at the starting position below, where the black King is in the center, and White's pieces are momentarily scattered, Tablebase reveals that it's mate in 17. So, here's what I'm going to do. I will play the position according to my method, and let the computer play the Tablebase moves, which means that it will play perfectly. In the annotations, I explain a lot of what is happening.