Who said doubled pawns are bad in the end game. Occasionally you can build a fortress with doubled-pawns and there is no way in for the enemy! My opponent refused a draw but finally succumbed to a Killer King tactic ...!!!
"Chess is a form of intellectual productiveness; therein lies its peculiar charm, and intellectual productiveness is one of the greatest joys of human existence".
Dr Siegbert Tarrasch (1862-1934), The Game of Chess, 1936, translated by G.E. SMITH and T.G. BONE.