As the field of topology optimization continues to evolve, we can expect to see:

Modern topology has long outgrown its origins in point-set axioms (open sets, closed sets, neighborhoods). Two profound extensions dominate contemporary thought:

Topology, at its core, teaches a form of intellectual humility and power. Humility because it admits that most geometric details are transient—curvature can be smoothed, angles rounded, lengths forgotten. Power because in discarding those details, it reveals the skeleton of reality: connectivity, holes, boundaries, and the group-theoretic dance of loops.

Use a network simulator (e.g., OMNeT++ with LT20bin plugin) to inject worst-case traffic. Verify that no link exceeds 70% utilization—this leaves headroom for failover.

Elara smiled. "It passed through the half-twist. That's perfect."