redsales: Aye, castling opened up new and interesting areas of game space to be explored... but did it cause a difference in the kind of thinking that was required?

Have a look a Doubling Strategy in Backgammon and see if that bears any resemblance to the thinking involved in chequer play! ;-)

(I'm cheating slightly here. That kind of stuff is obligatory for professionals and world champions but you can get quite far with the cube without having to learn all that. It's very useful to understand the concepts involved though, even if you don't get as far as playing with the equations during a match)