We see images with connected points used a lot in diagrams, illustrations, advertising and just cool abstract art. They visually represent networks of related things and ideas or connectivity. The web, for example. It's effective and visually appealing and when the effect is animated, it's mesmerising. And popular. There are any number of animated backgrounds and JavaScript libraries to add moving particles to web pages, including the very appropriately named particles.js.
I'm going to make a Delphi version using FireMonkey.