Artists, futurists, and science fiction authors have predicted a move into cyberspace for years. Now, thanks to the Internet (and especially the World Wide Web) it is here, and we are moving into the new space. At the same time, a major cultural transformation is upon us, as the industrial and modern paradigms self-destruct. We must think of the emerging culture in this new cybersocial space as we experience it, artistically, not technically, as its technical infrastructure/ medium of wires and machines. We regard the new space, like the social and cultural space supported by older media, as a (fractal) continuum, an infinite field of consciousness, a culture, a space. And to understand the new universe, and our places in it as individuals and as social and political groups, we must make maps and models, like the earliest seafarers, geographers, and cartographers did with the physical and political globe. And thus, we are brought to webometry, the creation of cognitive maps and mathematical models of the network and the World Wide Web.