Division by 3 does not exist

Think about it... how can you have 3 equal parts of an object? The decimate representation is impossible and one side always has to be bigger then the other. This is also why there is no such thing as 360 equal degrees in a circle as one degree has to be off by a little bit... There are no 360 numbers that will add up to 1 whole object either.

>>138
If you really want a function from the natural numbers, you could define it by saying all the even numbers evaluate to the first half of the list, and the odd numbers to the second half (in reverse order).