# Plotting a recursive function

I'm trying to plot different iterations of the Cantor function using the iterative definition:

Let 0(x) = x.

Then,

Let n+1(x) = 1/2*n(3x), when 0 <= x < 1/3;

Let n+1(x) = 1/2, when 1/3 <= x < 2/3;

Let n+1(x) = 1/2 + 1/2*n(3x - 2), when 2/3 <= x <= 1.

I extended it to be 0 when x<0 and 1 when x>1.

The function I have defined returns the correct values for a specific iteration and a specific x, but it is not plotting how I would like it to. When I plot it, I just get a horizontal line at 1.

```
def cantor(z,iter=0):
#'z' is the x value
#'iter' is the number of iterations in the iterative process
if iter == 0:
val = z
elif z<0:
val = 0
elif z<(1/3):
val = (1/2)*cantor(3*z,iter-1)
elif z<=(2/3):
val = (1/2)
elif z<=1:
val = (1/2)+(1/2)*cantor(3*z-2,iter-1)
else:
val = 1
return val
plot(cantor(x,0)) #this works
plot(cantor(x,1)) #this doesn't work
```

Thanks in advance for any help.