The talk will touch on three themes: first comes task-driven visualization: how encodings support activities such as path finding, neighborhood inspection, or degree estimation. Next is the challenge of multivariate networks, where attributes on nodes and edges must be integrated into visual form. The third theme is evaluation: how to assess the effectiveness of layout algorithms using metrics, comparisons, and user studies. Through the lecture, we will use Biofabric as a running example --- Biofabric is an alternative network visualization (akin to node-link or adjacency matrix), still underexplored in many aspects, which opens up many questions for network visualization research.