  We study three distinct types of planar, spherically symmetric and localized
structures, one of them having non-topological behavior and the two others
being of topological nature. The non-topological structures have energy density
localized in a compact region in the plane, but are unstable against
spherically symmetric fluctuations. The topological structures are stable and
behave as vortices and skyrmions at larger distances, but they engender
interesting compact behavior as one approaches their inner cores. They are
semi-compact skyrmion-like spin textures generated from models that allow to
control the internal behavior of such topological structures.
