The Internet from Mars

In the 1950's it was a commonly held belief that by the year 2000 life on the Moon would become possible and that humanity would gradually spread out to Mars and even beyond to begin colonization of other worlds. And those projections were not necessarily overly ambitious. Had the desire to move into space truly gripped us at the same level as our desire to communicate with one another, then it seems fairly likely that we would have developed the technology and infrastructure necessary to make this happen. But instead of computers getting larger and more independent, they god smaller and more connected. But when the information age eventually reaches the moon and beyond, what might it look like?