  We attempt to reveal the geometry, emerged from the entanglement structure of
any general $N$-party pure quantum many-body state by representing entanglement
entropies corresponding to all $2^N $ bipartitions of the state by means of a
generalized adjacency matrix. We show this representation is often exact and
may lead to a geometry very different than suggested by the Hamiltonian.
Moreover, in all the cases, it yields a natural entanglement contour, similar
to previous proposals. The formalism is extended for conformal invariant
systems, and a more insightful interpretation of entanglement is presented as a
flow among different parts of the system.
