The answer to 'why is my centipede trails' is that centipedes are leaving visible trails in your home, which is a common sign of an infestation. Centipedes are nocturnal, fast-moving insects that come out at night to hunt for food. They prefer dark, damp areas like basements, bathrooms, and under appliances or furniture.
The trails you see are the paths they take as they move around looking for prey like insects, spiders, and other small invertebrates. Centipedes will leave these distinctive trails as they hunt, and you may also spot them directly if you see them scurrying across the floor or walls.