Towers of Hanoi, continued

When you solved the Towers of Hanoi for three disks, you needed to expose the bottom disk, disk $3$, so that you could move it from peg A to peg B. In order to expose disk $3$, you needed to move disks $1$ and $2$ from peg A to the spare peg, which is peg C:

Wait a minute—it looks like two disks moved in one step, violating the first rule. But they did not move in one step. You agreed that you can move disks $1$ ...