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"I couldn't say, off–hand," came the cautiously scientific reply. "More than one astronomical unit, certainly, but the computation of the exact distance would require some little time. It would, however, be an interesting, if minor, problem. I will solve it for you, if you like, and advise you of the exact minimum distance."

"Please do so—thanks a million," and the Lensmen disconnected.

"The conceited old goat!" Haynes snorted. "I'd like to smack him down!"

"I've felt like it more than once, but it wouldn't do any good. You've got to handle him with gloves—besides, you can afford to make concessions to a man with a brain like that."

"I suppose so. But how about that infernal tube? Knowing that it can not be set up within or very near Tellus helps some, but not enough. We've got to know where it is—if it is. Can you detect it?"

"Yes. That is, I can't, but the specialists can, I think. Wise of Medon would know more about that than anyone else. Why wouldn't it be a thought to call him over here?" "It would that", and it was done. Wise of Medon and his staff came, conferred, and departed. Sir Austin Cardynge solved his minor problem, reporting that the minimum distance from the sun's center to the postulated center of the terminus of the vortex—actually, the geometrical origin of the three–dimensional figure which was the hyper–plane of intersection—was one point two six four seven, approximately, astronomical units; the last figure being tentative and somewhat uncertain because of the rapidly–moving masses of Jupiter…

Haynes cut the tape—he had no time for an hour of mathematical dissertation—and called in his execs. "Full–globe detection of hyper–spatial tubes," he directed, crisply. "Kinnison will tell you exactly what he wants. Hipe!"

Shortly thereafter, five–man speedsters, plentifully equipped with new instruments, flashed at full drive along courses carefully calculated to give the greatest possible coverage in the shortest possible time.

Unobtrusively the loose planets closed in; close enough so that at least three or four of them could reach any designated point in one minute or less. The outlying units of Grand Fleet, too, were pulled in. That fleet was not actually mobilized—yet—but every vessel in it was kept in readiness for instant action.

"No trace," came the report from the Medonian surveyors, and Haynes looked at Kinnison, quizzically.

"QX, chief—glad of it," the Gray Lensman answered the unspoken query. "If it was up, that would mean they were on the way. Hope they don't get a trace for two months yet. But I'm next–to–positive that that's the way they're coming and the longer they put it off the better—there's a possible new projector that will take a bit of doping out. I've got to do a flit—can I have the Dauntless?"

"Sure—anything you want—she's yours anyway."

Kinnison went. And, wonder of wonders, he took Sir Austin Cardynge with him. From solar system to solar system, from planet to planet, the mighty Dauntless hurtled at the incomprehensible velocity of her full maximum blast; and every planet so visited was the home world of one of the most cooperative—or, more accurately, one of the least non– cooperative—members of the Conference of Scientists. For days brilliant but more or less unstable minds struggled with new and obdurate problems; struggled heatedly and with friction, as was their wont. Few if any of those mighty intellects would have really enjoyed a quietly studious session, even had such a thing been possible.

Then Kinnison returned his guests to their respective homes and shot his flying warship–laboratory back to Prime Base. And, even before the Dauntless landed, the first few hundreds of a fleet which was soon to be numbered in the millions of meteorminers' boats began working like beavers to build a new and exactly–designed system of asteroid belts of iron meteors.

And soon, as such things go, new structures began to appear here and there in the void. Comparatively small, these things were; tiny, in fact, compared to the Patrol's maulers. Unarmed, too; carrying nothing except defensive screen. Each was, apparently, simply a power–house; stuffed skin full of atomic motors, exciters, intakes, and generators of highly peculiar design and pattern. Unnoticed except by gauntly haggard Thorndyke and his experts, who kept dashing from one of the strange craft to another, each took its place in a succession of precisely–determined relationships to the sun.

Between the orbits of Mars and of Jupiter, the new, sharply–defined rings of asteroids moved smoothly. Most of Grand Fleet formed an enormous hollow hemisphere. Throughout all nearby space the surveying speedsters and flitters rushed madly hither and yon. Uselessly, apparently, for not one needle of the vortex–detectors stirred from its zero–pin.

As nearly as possible at the Fleet's center there floated the flagship. Technically the Z9M9Z, socially the Directrix, ordinarily simply GFHQ, that ship had been built specifically to control the operations of a million separate flotillas. At her millionplug board stood—they had no need, ever, to sit—two hundred blocky, tentacle–armed Rigellians. They were waiting, stolidly motionless.

Intergalactic space remained empty. Interstellar ditto, ditto. The flitters flitted, fruitlessly.

But if everything out there in the threatened volume of space seemed quiet and serene, things in the Z9M9Z were distinctly otherwise. Haynes and Kinnison, upon whom the heaviest responsibilities rested, were tensely ill at ease.

The admiral had his formation made, but he did not like it at all. It was too big, too loose, too cumbersome. The Boskonian fleet might appear anywhere, and it would take him far, far too long to get any kind of a fighting formation made, anywhere. So he worried. Minutes dragged—he wished that the pirates would hurry up and start something!

Kinnison was even less easy in his mind. He was not afraid of negaspheres, even if Boskonia should have them; but he was afraid of fortified, mobile planets. The super–maulers were big and powerful, of course, but they very definitely were not planets; and the big, new idea was mighty hard to jell. He didn't like to bother Thorndyke by calling him—the master technician had troubles of his own—but the reports that were coming in were none too cheery. The excitation was wrong or the grid action was too unstable or the screen potentials were too high or too low or too something. Sometimes they got a concentration, but it was just as apt as not to be a spread flood instead of a tight beam. To Kinnison, therefore, the minutes fled like seconds—but every minute that space remained clear was one more precious minute gained.

Then, suddenly, it happened. A needle leaped into significant figures. Relays clicked, a bright red light flared into being, a gong clanged out its raucous warning. A fractional instant later ten thousand other gongs in ten thousand other ships came brazenly to life as the discovering speedster automatically sent out its number and position; and those other ships— surveyors all—flashed toward that position and dashed frantically about. Theirs the task to determine, in the least number of seconds possible, the approximate location of the center of emergence.

For Port Admiral Haynes, canny old tactician that he was, had planned his campaign long since. It was standing plain in his tactical tank—to englobe the entire space of emergence of the foe and to blast them out of existence before they could maneuver. If he could get into formation before the Boskonians appeared it would be a simple slaughter—if not, it might be otherwise. Hence seconds counted; and hence he had had high–speed computers working steadily for weeks at the computation of courses for every possible center of emergence.

"Get me that center—fast!" Haynes barked at the surveyors, already blasting at maximum.

It came in. The chief computer yelped a string of numbers. Selected loose– leaf binders were pulled down, yanked apart, and distributed on the double, leaf by leaf. And: