Beginning users often exhibit confusion about what it means to be "on" the Internet, and they would likely benefit from a discussion of the scope and structure of Internet connectivity. The problem lies in creating a meaningful visual which would accompany the verbal information. This document discusses an exercise whereby graduate students who had completed 5 weeks of an Internet-related course were asked to draw a diagram of the Internet as they understood it. Thirty-four drawings ranged from very simplistic to very technical, but several patterns emerged, with the Internet variously represented as a client-server scenario, a giant loop, a spoke and hub configuration, or a container. The client-server depiction had already been presented in the class by the instructor, and it ended up appearing most often in the exercise. Only three drawings focused on the global nature of the Internet. When the same exercise was administered to non-users, 31 drawings more frequently included some visual reference to the world, perhaps because the notion of global connectivity is one that the media likes to hype. Visual aids may help beginning users sort through confusing terminology and misleading metaphors, although many participants in the first exercise whose drawings did not appear to represent the Internet in any reasonable way still retained accurate verbal knowledge of the Internet's character. Further study is recommended. Six student illustrations are included in a total of eight figures. (BEW)