Bishop Ending-Pawn Structure Versus Pawn Count

In the following Bishop chess ending, White has 6 pawns and Black has 5 pawns. If  White's pawn structure on the queenside was not shattered and split, his 3-2 majority would probably be decisive. The White King has just moved to e3 vis a vis the black monarch at e5.

White's King move threatens f4 check driving Black backward to the d6 square. Black's drawing strategy is to temporarily prevent f4 by playing g5, but White is able to force through f4 with the preparatory g3. This will force Black to retreat to the d6 square where it turns out he can set up an inpenetrable fortress by guarding all entry squares.



See if you can envision the position with the White King occupying d4 and the Black King sitting on d6. With the correct pawn moves, the Black King cannot be dislodged from d6 which will help the second player sustain the fortress structure!

If the White queen side pawn structure  was uncompromised, then it is likely he could drive the Black King away from his blockading perch at d6 allowing White to infiltrate with his King and win.