"Visualizing Three-Qubit Entanglement."

We present a graphical framework to represent entanglement in three-qubit states. The geometry associated with each <i>entanglement class</i> and <i>type</i> is analyzed, revealing distinct structural features. We explore the connection between this geometric perspective and the tangle, deriving bounds that depend on the entanglement class. Based on these insights, we conjecture a purely geometric expression for both the tangle and Cayley's hyperdeterminant for non-generic states. As an application, we analyze the energy eigenstates of physical Hamiltonians, identifying the sufficient conditions for <i>genuine tripartite</i> entanglement to be robust under symmetry-breaking perturbations and level repulsion effects.