  The topological morphology--order of zeros at the positions of electrons with
respect to a specific electron--of Laughlin state at filling fractions $1/m$
($m$ odd) is homogeneous as every electron feels zeros of order $m$ at the
positions of other electrons. Although fairly accurate ground state wave
functions for most of the other quantum Hall states in the lowest Landau level
are quite well-known, it had been an open problem in expressing the ground
state wave functions in terms of flux-attachment to particles, {\em a la}, this
morphology of Laughlin state. With a very general consideration of
flux-particle relations only, in spherical geometry, we here report a novel
method for determining morphologies of these states. Based on these, we
construct almost exact ground state wave-functions for the Coulomb interaction.
Although the form of interaction may change the ground state wave-function, the
same morphology constructs the latter irrespective of the nature of the
interaction between electrons.
