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Continuity mistake: When the Joker reveals to Batman that he's also got Rachel, Batman slams the Joker into the wall. The tiles behind the Joker's head have little cracks in them. Cut to another shot from the side, all the cracks are gone.

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Continuity mistake: When Batman is removing the part of the wall with the bullet in it, we see the bullet hole is off-center, to the left side of the block that Batman carves out. In the next scene where we see the mounted gun shooting specialized bullets into blocks, Bruce compares the block he removed from the apartment, which is in a plastic bag, to the holes left in the sample blocks. The hole in the block from the apartment is now in the center of the block, not on the left side as it was when he removed it.

Continuity mistake: When Dent is talking in the hospital after being rescued, the pillow is bloody on his left side (where he was burned) then the pillow is clean again in another shot.