# Multidimensional arrays

## Lists in lists

A good way to visualize a 2d array is as a list of lists. Something like this:

here the outer list `lst` has three things in it. each of those things is another list: The first one is: `[1,2,3]`, the second one is: `[4,5,6]` and the third one is: `[7,8,9]`. You can access these lists the same way you would access another other element of a list, like this:

You can then access the different elements in each of those lists the same way:

Here the first number inside the `[]` brackets means get the list in that position. In the above example we used the number `0` to mean get the list in the 0th position which is `[1,2,3]`. The second set of `[]` brackets means get the item in that position from the inner list. In this case we used both `0` and `1` the 0th position in the list we got is the number `1` and in the 1st position it is `2`

You can also set values inside these lists the same way:

Now the list is `[[10,11,12],[4,5,6],[7,8,9]]`. In this example we changed the whole first list to be a completely new list.

Now the list is `[[10,11,12],[4,5,15],[7,8,9]]`. In this example we changed a single element inside of one of the inner lists. First we went into the list at position 1 and changed the element within it at position 2, which was 6 now it's 15.

## Lists in lists in lists in...

This behaviour can be extended. Here is a 3-dimensional array:

As is probably obvious, this gets a bit hard to read. Use backslashes to break up the different dimensions:

By nesting the lists like this, you can extend to arbitrarily high dimensions.

Accessing is similar to 2D arrays:

And editing is also similar: