# Chapter 7. Iteration

This chapter is about iteration, which is the ability to run a block of statements repeatedly. We saw a kind of iteration, using recursion, in “Recursion”. We saw another kind, using a `for` loop, in “Simple Repetition”. In this chapter we’ll see yet another kind, using a `while` statement. But first I want to say a little more about variable assignment.

# Reassignment

As you may have discovered, it is legal to make more than one assignment to the same variable. A new assignment makes an existing variable refer to a new value (and stop referring to the old value).

```>>> x = 5
>>> x
5
>>> x = 7
>>> x
7```

The first time we display `x`, its value is 5; the second time, its value is 7.

Figure 7-1 shows what reassignment looks like in a state diagram.

At this point I want to address a common source of confusion. Because Python uses the equal sign (`=`) for assignment, it is tempting to interpret a statement like `a = b` as a mathematical proposition of equality; that is, the claim that `a` and `b` are equal. But this interpretation is wrong.

First, equality is a symmetric relationship and assignment is not. For example, in mathematics, if a=7 then 7=a. But in Python, the statement `a = 7` is legal and `7 = a` is not.

Also, in mathematics, a proposition of equality is either true or false for all time. If a=b now, then a will always equal b. In Python, an assignment statement can make two variables equal, but they don’t have to stay that way:

`>>> a = 5 >>> b = a # a and b are now equal >>> ...`

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