  We study holographic entanglement entropy (HEE) of $m$ strips in various
holographic theories. We prove that for $m$ strips with equal lengths and equal
separations, there are only 2 bulk minimal surfaces. For backgrounds which
contain also "disconnected" surfaces, there are only 4 bulk minimal surfaces.
Depending on the length of the strips and separation between them, the HEE
exhibits first order "geometric" phase transitions between bulk minimal
surfaces with different topologies. We study these different phases and display
various phase diagrams. For confining geometries with $m$ strips, we find new
classes of "disconnected" bulk minimal surfaces, and the resulting phase
diagrams have a rich structure. We also study the "entanglement plateau"
transition, where we consider the BTZ black hole in global coordinates with 2
strips. It is found that there are 4 bulk minimal surfaces, and the resulting
phase diagram is displayed. We perform a general perturbative analysis of the
$m$-strip system: including perturbing the CFT and perturbing the length or
separation of the strips.
