OT, I don't see much similarities between chess and aikido. OTOH, Waitzkin being mentioned, it is interesting how he 'progressed' from chess to tai chi to BJJ.
I think it is about perspective. Have you read the book?
Short version of 'similarities between chess and 'martial arts' is: In the beginning you build 'your own foundational understanding' of things. Once that is established enough you then to learn to understand the relationship between your position and that of your opponent(s). Later on you begin to become sensitive enough to them on contact to find weaknesses in their position and exploit it.
So in chess, that is being sensitive enough to their opening, positioning, traps they lay to draw you in/out over extend your position and catch you off balance. Or wait... was I talking about Aikido there...