I tested my empyrical formula's in a lot of situations with the Nalimov tablebases.
They didn't let me down.
Let me show you a random situation with two blocked pawns on the same file.
Where would you put the white king if you had the choice?
First you have to draw the draw zone.
The basic measure is the distance between the black king and the white pawn = 4 moves
The draw zone is based on the fact that the white king conquers the key square when the black king snacks the white pawn.
Center of the draw zone = c4 = key square black pawn
Diameter of the draw zone = 4 + 1 = 5 moves (white can afford to lose one tempo)
Then you draw the win zone.
Center of the win zone is the black pawn.
Diameter win zone = 4 moves.
Where you don't win or draw, you lose.
Red = loss zone
Then you have to find out where one king shoulders the other away when they walk on their ideal paths to their respective targets.
Yellow = interference zone
When the kings collide the impeded king loses a tempo.
If the white king hinders the black king, the win zone increases by one move.
When the black king hinders the white king, the loss zone increases by one move.
The only thing you have to do now is to drop your white king on an interesting place and you have 3 brand new Grigoriev-like studies.
With hardly any calculation!
One solution guaranteed!
White to move.
This is of course a relative simple situation since the pawns are sitting ducks.
At the moment I'm trying to do the same with one or more ranks between the pawns.
I don't understand all aspects yet, but I allready found a few interesting things.
Heck, at this pace I'll never reach Lucena's position!
Btw, I ordered Secrets of rook endings from John Nunn.
6 hours ago