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“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.

But if, in reality, it had not been found—if the so-called finding of the Second Foundation had been an illusion—what then? What beside a straight line and a circle would make sense in this connection?

Pelorat said, “Are you creating illusions? Why is there a blue circle?”

“I was just testing my controls.—Would you like to locate Earth?”

There was silence for a moment or two, then Pelorat said, “Are you joking?”

“No. I'll try.”

He did. Nothing happened.

“Sorry,” said Trevize.

“It's not there? no Earth?”

“I suppose I might have misthought my command, but that doesn't seem likely. I suppose it's more likely that Earth isn't listed in the computer's vitals.”

Pelorat said, “It may be listed under another name.”

Trevize jumped at that quickly, “What other name, Janov?”

Pelorat said nothing and, in the darkness, Trevize smiled. It occurred to him that things might just possibly be falling into place. Let it go for a while. Let it ripen. He deliberately changed the subject and said, “I wonder if we can manipulate time.”

“Time! How can we do that?”

“The Galaxy is rotating. It takes nearly half a billion years for Terminus to move about the grand circumference of the Galaxy once. Stars that are closer to the center complete the journey much more quickly, of course. The motion of each star, relative to the central black hole, might be recorded in the computer and, if so, it may be possible to have the computer multiply each motion by millions of times and make the rotational effect visible. I can try to have it done.”

He did and he could not help his muscles tightening with the effort of will he was exerting—as though he were taking hold of the Galaxy and accelerating it, twisting it, forcing it to spin against terrible resistance.

The Galaxy was moving. Slowly, mightily, it was twisting in the direction that should be working to tighten the spiral arms.

Time was passing incredibly rapidly as they watched—a false, artificial time—and, as it did so, stars became evanescent things.

Some of the larger ones—here and there—reddened and grew brighter as they expanded into red giants. And then a star in the central clusters blew up soundlessly in a blinding blaze that, for a tiny fraction of a second, dimmed the Galaxy and then was gone. Then another in one of the spiral arms, then still another not very far away from it.

“Supernovas,” said Trevize a little shakily.

Was it possible that the computer could predict exactly which stars would explode and when? Or was it just using a simplified model that served to show the starry future in general terms, rather than precisely?

Pelorat said in a husky whisper, “The Galaxy looks like a living thing, crawling through space.”

“It does,” said Trevize, “but I'm growing tired. Unless I learn to do this less tensely, I'm not going to be able to play this kind of game for long.”

He let go. The Galaxy slowed, then halted, then tilted, until it was in the view-from-the-side from which they had seen it at the start.

Trevize closed his eyes and breathed deeply. He was aware of Terminus shrinking behind them, with the last perceptible wisps of atmosphere gone from their surroundings. He was aware of all the ships filling Terminus's near-space.

It did not occur to him to check whether there was anything special about any one of those ships. Was there one that was gravitic like his own and matched his trajectory more closely than chance would allow?