Shift co-ordinates!
This exercise of will was by no means a precise command. Yet as the image of Galaxy began to undergo a slow change, his mind guided the computer and had it do what he wished.
Slowly the Galaxy was turning so that it could be seen at right angles to the Galactic plane. It spread out like a gigantic, glowing whirlpool, with curves of darkness, and knots of brightness, and a central all-but-featureless blaze.
Pelorat asked, "How can the computer see it from a position in space that must be more than fifty thousand parsecs from this place?" Then he added, in a choked whisper, "Please forgive me that I ask. I know nothing about all this."
Trevize said, "I know almost as little about this computer as you do. Even a simple computer, however, can adjust co-ordinates and show the Galaxy in any position, starting with what it can sense in the natural position, the one, that is, that would appear from the computer's local position in space. Of course, it makes use only of the information it can sense to begin with, so when it changes to the broadside view we would find gaps and blurs in what it would show. In this case, though..."
"Yes?"
"We have an excellent view. I suspect that the computer is outfitted with a complete map of the Galaxy and can therefore view it from any angle with equal ease."
"How do you mean, a complete map?"
"The spatial co-ordinates of every star in it must be in the computer's memory banks."
"Every star?" Pelorat seemed awed.
"Well, perhaps not all three hundred billion. It would include the stars shining down on populated planets, certainly, and probably every star of spectral class K and brighter. That means about seventy-five billion, at least."
"Every star of a populated system?"
"I wouldn't want to be pinned down; perhaps not all. There were, after all, twenty-five million inhabited systems in the time of Hari Seldon - which sounds like a lot but is only one star out of every twelve thousand. And then, in the five centuries since Seldon, the general breakup of the Empire didn't prevent further colonization. I should think it would have encouraged it. There are still plenty of habitable planets to expand into, so there may be thirty million now. It's possible that not all the new ones are in the Foundation's records."
"But the old ones? Surely they must all be there without exception."
"I imagine so. I can't guarantee it, of course, but I would be surprised if any long-established inhabited system were missing from the records. Let me show you something - if my ability to control the computer will go far enough."
Trevize's hands stiffened a bit with the effort and they seemed to sink further into the clasp of the computer. That might not have been necessary; he might only have had to think quietly and casually: Terminus!
He did think that and there was, in response, a sparkling red diamond at the very edge of the whirlpool.
"There's our sun," he said with excitement. "That's the star that Terminus circles."
"Ah," said Pelorat with a low, tremulous sigh.
A bright yellow dot of light sprang into life in a rich cluster of stars deep in the heart of the Galaxy but well to one side of the central haze. It was rather closer to the Terminus edge of the Galaxy than to the other side.
"And that," said Trevize, "is Trantor's sun."
Another sigh, then Pelorat said, "Are you sure? They always speak of Trantor as being located in the center of the Galaxy."
"It is, in a way. it's as close to the center as a planet can get and still be habitable. It's closer than any other major populated system. The actual center of the Galaxy consists of a black hole with a mass of nearly a million stars, so that the center is a violent place. As far as we know, there is no life in the actual center and maybe there just can't be any life there. Trantor is in the innermost subring of the spiral arms and, believe me, if you could see its night sky, you would think it was in the center of the Galaxy. It's surrounded by an extremely rich clustering of stars."
"Have you been on Trantor, Golan?" asked Pelorat in clear envy.
"Actually no, but I've seen holographic representations of its sky."
Trevize stared at the Galaxy somberly. In the great search for the Second Foundation during the time of the Mule, how everyone had played with Galactic maps - and how many volumes had been written and filmed on the subject
And all because Hari Seldom had said, at the beginning, that the Second Foundation would be established "at the other end of the Galaxy," calling the place "Star's End."
At the other end of the Galaxy! Even as Trevize thought it, a thin blue line sprang into view, stretching from Terminus, through the Galaxy's central black hole, to the other end. Trevize nearly jumped. He had not directly ordered the line, but he had thought of it quite clearly and that had been enough for the computer.
But, of course, the straight-line route to the opposite side of the Galaxy was not necessarily an indication of the "other end" that Seldom had spoken of. It was Arkady Darell (if one could believe her autobiography) who had made use of the phrase "a circle has no end" to indicate what everyone now accepted as truth
And though Trevize suddenly tried to suppress the thought, the computer was too quick for him. The blue line vanished and was replaced with a circle that neatly rimmed the Galaxy in blue and that passed through the deep red dot of Terminus's sun.
A circle has no end, and if the circle began at Terminus, then if we searched for the other end, it would merely return to Terminus, and there the Second Foundation had indeed been found, inhabiting the same world as the First.