Board vision and tactical vision is being dealt with. That leaves one topic to be investigated:
"Visualization – The ability to keep track of where all the pieces are (and “see” them as a position) as you move the pieces in your head, analyzing future possibilities" (NM Dan Heisman).
I isolate the following 3 topics:
- The current position.
- The transition to a future position
- The future position
The current position has features that are manifest and that are not manifest.
The first thing to do is to identify the manifest features.
- Board vision is meant to see what the pieces are currently doing.
- Tactical vision is an aid to see which tactical elements are present.
- Time by geometry. See an old post of mine how time manifests itself as geometry on the chessboard. Geometry as a method to look in the future
After these 3 points have revealed a few features we start to probe the position by making moves in the mind. Some call that forward chaining, I believe.
This probing process reveals what I have called triggers somewhere.The triggers trigger a cue to a chunk. A feature that you didn't see before. Often this leads to backwards thinking. You see a tactical pattern but it doesn't work. Can you find a forcing route to make it work? See a post about backwards thinking.
All this is about manifest features. There are unmanifest features too. Those you can't see in the current position. These features are unmanifest in the diagram.
Black to move.
In the diagram above you can't decide on 1. ... Rxg3 above 1. ... fxg3 based on the manifested features. There is no justification for that. The justification for Rxg3 lies in the features of the position that aren't manifest yet. You have to look in the future.
2. Transition to a future position.
At some moment you must decide on one or more moves to create a future position. What are the elements here?
- A candidate list. A list with the most promising moves. Some sort of CCT seems to fit here. The point is, the branch from one position to another must be forcing. If there is no CCT, there is no force. If there is no forcing possible, the position is quiescent. In quiescent positions there are, by definition, no tactics. If there are no tactics, there is no reason to calculate. So essentially it is about a method of pruning lines. Which is a relief for STM.
- Hierarchy. Somehow you must decide on which branch is the most promising.
- Recognition of quiescense.
3. The future position.
All the skills you need in a current position are needed in a future position too.
But there are a few additional problems to overcome too.
- You have to "see" the future position without using STM for it.
- You must not only see the pieces, but the squares they are covering too. The "radiation" of the pieces.