It’s ironic that the perfect child Tywin always wanted, the one that was smarter and more cunning than him, that could succeed him was the one he despised the most
I can’t lie Tywin had one good point against Tyrion owning Casterly rock, he had pretty good reason to believe Tyrion would just turn it into his own party palace.
Oh, Tywin. If only you loved your children, and taught them to love each other, you would have the perfect legacy you wanted. Cersei has his ruthlessness and his ambition, Jaime has his strategic mind, and Tyrion has his wit and his intelligence. If these three worked united as a family (Cersei as queen, Jaime as lord commander, Tyrion as hand) they'd be undefeated. Him being a terrible father but wanting to further the Lannister dynasty is both extremely ironic and the source of his downfall.
"Do you think you'll be the first peson draged into a sept to be married against her will?" After this line, I am convinced that Cersei only hates Tyrion for killing Tywin, because it means she didn't get to kill him herself.
Tyrion is exactly what Tywin made him. I'm almost convinced Tywin hoped for Tyrion to be more, but lost sight of where tough love ended and neglect began, and he resented his own son for it because he believes in his own infallibility.
Most grave mistake Tywin ever made was misjudge virtues of Tyrion. The little Imp was the most capable successor of Lanister name, and yet Tywin was too blind by hatred and self esteem to see it.
“I don’t distrust you because you’re a woman. I distrust you because you’re not as smart as you think you are” is literally one of the best lines of all time, and perfectly encapsulates the fact that in truth, it is Cersei who possesses “low cunning” not Tyrion. He dislikes Tyrion so much because he’s actually a reflection of Tywin, if only he hadn’t been a dwarf Tywin might have named him heir after all, since Jaimie never wanted it.
Tywin had the children who were beautiful (Cersei), brave (Jaime), and smart (Tyrion). Unfortunately his hate for Tyrion, excessive love for Jaime, and neglect of Cersei ruined everything for him.
Tyrion got Tywin's wisdom, Jaime his skill of battle and war, and Cersei his cruelty and cunning. But Tywin would have wanted one of them to have all 3 instead