Yes, Victor and the creature become more and more alike as time goes on. The two are locked in combat. Each destroys what the other one most loves and/or desires. For example, Victor agrees to create a female mate for the creature, then rips her apart. He is unable to put the creature's desire for love and companionship ahead of his own revulsion at the idea of bringing a second monster to life. He also can't overcome his fear that the two will beget a race of monsters.
Likewise, the monster, deeply hurt by Victor's rejection and lack of empathy for him, destroys the people Victor most loves. He can't put Victor's or the victims's needs ahead of his own.
The two mirror each other in the intensity of the emotions they experience. They both become increasingly obsessed with the other, each seemingly fixated on the game of pursuit.
Perhaps in one or two ways they become somewhat similar, but I think they diverge more than they converge in the end. Victor soon begins to suffer as he has made his...
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