Fascinating Conversion to Winning KP ending an Exchange Down!!

ICC player eternalwarrior blundered in below diagram by moving his Rook to c7 rather than c8. His logic was impeccable wanting to protect d7 pawn, but there was a tactical oversight in his reasoning. 

Can you see the flaw in his reasoning based on Black's King location and the harmonizing/coordination of the g5 Knight an the e6 pawn?

After pawn to e7 there are two Knight Forks that lead to a won King and Pawn ending where the White King ends up at the dominating d5 square and Black possessing a weak isolated passed d pawn still stuck on its original d7 square!!! One of the variants actually forces the Black Monarch to block the passed pawn in order to to gobbled up by f6 Knight Fork!!!! SO BEAUTIFUL

It is impossible to go through all the variations as to why White is winning, but some of the ideas are White has two pawn islands to Black's three, White has 3-2 King Side pawn majority, Zugzwang(means German for every move loses),  a more active centralized King, and maybe even triangulation in some variations. 

I would love to know if Doug Hyatt or Russian Speaking White guy GM Bryan Smith would consider this position, after the blunder, to be worthy of study?

Winning by Entering the Square of a Passed Pawn

Being familiar with the pawn structure is crucial at every point in a chess game. Pawns determine the topology of the board which is a major determinant of the strategy and tactics that will ensue. This is why Philidor referred to the pawn structure as the soul of chess.

In the following game played at the ICC, REVOLUCIONCHILE played his usual aggressive Dutch Defense. White won the exchange early and the following position was reached with White having a winning pawn structure due to his connected passed g and h pawns.

Black just played b5 to provide an outpost for his Knight at c4. White quickly reacted with Rook captures Horse at c4, giving back the exchange for a won King and Pawn ending. Note that this would have been a losing move had the White King been at h1 instead of g1.

After the obligatory recapture at c4 with the pawn, White enters the square of the pawn with either Kf1 or Kf2. The square or quadrangle of the pawn is any easy way avoid the calculation of determining whether one can catch up with a pawn before it queens.

After the forced recapture, the pawn at c4 helps form the vertices of square composed of the chess board squares f4,f1, and c1. Black's King which cannot support the queening of the c pawn has to stay close to the connected passed pawns while the White King is ingesting the separated and weak Black Queenside pawns.

I wonder if REVOLUCIONCHILE is serious about being part of a coup, insurgency, or revolution in Chile? The angry capitalization of his ICC name suggests more than a hot blooded Latina chess player.