BasicBishop and Knight Checkmate

    Please pardon the crudity of this new post.  I am learning.

    Be sure to click the solution button to read the text regarding Chess and Geometry link about this position.

I will have further posts, hopefully with alot better illustrations of this excellent checkmate 

 I know this isn't perfect, but shows what you mean I think. Ignoring the kings of course, which have to be in diagrams (that's annoying, should be able to do diagrams that don't fit chess rules)

   Thank you,   that is a good start toward a solution of illustrating in crystal clear graphics the idea of the concentric triangles.

I don't know much about concentric triangles and the like, but for a nicely done video that makes this particular endgame very easy to accomplish, have a look at:

http://www.chessvideos.tv/forum/viewtopic.php?f=12&t=802&sid=756adf1799171b42ad67e3101c491fc1

There are a number of other great endgame videos there as well, such as the famous Saavedra Position. As far as B+N goes, after watching the video and practicing just a bit, I now try to steer Blitz games into such positions if I am way ahead just for a bit of fun. I'm still not sure how practical it is to study this particular mating method, but it is fun knowing that you can do it.