It was the latter reasoning that stopped Paul from brooding over the problem. Paul wanted neither saint nor she-devil. One was untouchable and the other undesirable. Paul wanted an uninhibited loveliness, with the indefinably correct admixture of bawdiness and propriety, of Madonna and Magdalene, of soul and sex--_sana mens in sana corpore_, as Julius Caesar would have put it. The fact that the Galactic Network was progressing week by week only gratified Paul, even though he knew that someone else was racing madly back and forth across the star-trails checking the signals in one after the other. All Grayson needed was the initial radio contact, the Z-wave contact could progress from there. To while away the time Paul called upon his memory to fill in the spaces between the stellar radio stations between Sol and Neosol. He did this with the aid of the pilot's star maps which were made available to him. It was a flat map instead of the three-dimensional space-model necessary for true distances, but it served as well as a Mercator Projection of the earth, which is a spherical body and far from flat. In the space model, the first link was to Proxima, a sort of test link started some time before the rest. There were four other links that led from Sol to nearby stars, spread out in space-angles from one another. From these, each had three or four lines out and still away from Sol, some crossing the near gap and some crossing back between the other first-step stations until a complete pyramidal cross-connection of solid triangulation was obtained. Then across the longer reaches of space, long-term links were running between longer-distance stations. These would complete other space-triangulations across the galaxy, year by year until the final radio beam from Sol to Neosol landed, one hundred and forty years from the start. Each completed link between star and star would improve the surveying of the galaxy and bring Neosol's dimensional error down and down through the banks of figures best stated by exponents of ten. Astronomers work in light years, man works in miles. An error of a 'light month' in one-forty light years is not much error, but an error of 2,000 million miles is still a long way for man to correct-for. So Paul made a planar chart of the galaxy between Sol and Neosol, and from memory and calculations he filled in, week by week, the completed links. The first linkage had been computed and started so that a small group of men (of which Paul was one) could race from star to star checking-in the arrival of the radio beam. It took ten days to go from Sol to Proxima, the rest of the network had been started so that--at the best of astronomical calculations--the whole pattern would end up, one after the other, spread apart long enough to enable the group of beam-checkers to go from station to station.