The Travelcenter is THE main location for traveling to all the cool places Illuna has to offer. You can get there by clicking at the yellow box down in your inventory. There are official travel pads for example to the public mine, the university and the market. But you can also place your own travel box (in alphabetical order according to your player name) to connect it to your public travel net and therefore, you can visit all of the preferred places from other players.
At the lower level of the Travelcenter is a miniaturized version of the inner 5000 times 5000 Illuna map. From here you can teleport with ease to different corners of the world.