how define a partition for symbolic dynamics in the logistic map ?

Hi,

I am comparing vertical slices in the logistic map and want to compare
the symbolic dynamics (or kneading interval) of 1 slice to
another..that being the case, for each iterate, how do I define my
partition IN LAYMAN'S TERMS ?  Do I select my parameter as the
partition, the number 2 (1/2 of the Y axis), or something else ?

Thank you !!

Claus Hammer