Another technique of cornering and checkmating the opposing K in a K+R vs. K ending is the Zugzwang method. Diagram below is an example of how this is done. Notice that the first thing that White does in the illustration is to bring the K forward towards the opposing K. Instead of having the R move first to fence off the opposing K.   

Once your K is across the opposing K the task of driving the K back towards the edge of the board is easy. The usual trick of using the R to fence off the opposing K now becomes more effective because as you can see when the opposing K attacks the R, the R just moves back and places the opposing K into Zugzwang.

I was doing some of the "opposition" puzzles from "reassess your chess" the other evening. I dreamt all night of 2 kings dancing around each other.

 It's amazing how many "Strong" players misplay the simplest endgames. They play well enough to win in most cases... but rarely do they find the quickest kill. I have only recently set to studying these endings to learn the best techniques.

Thanks Matalino.

Very effective stylish...technique!

Actually the only way to win K + R vs K is the zugzwang technique (amazingly, without zugzwang--ie, if Black could pass whenever he chose--the endgame would be a draw).

awesome post i learned something today!!

 

Nice pattern, looked sweet as, much better than my sterile way.