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I had no way of knowing that four years later the Aker-Ming Autotorque would eliminate the need for anyone to stay awake through cascade maneuvers. I doubt seriously the kid appreciated the irony of it all.

In the eight years since the liner captain uniforms had appeared they had been gradually moving away from me along all four arms of the cross. Five more years, I estimated, and they would be far enough down the line to disappear into the mass of images crowded together out there. Whether my reaction to that event would be relief or sadness I didn't yet know, but there was no doubt in my mind that it would in some way be the end of a chapter in my life. I gazed at the figures for another minute... and then, with my ritual squeezing of the bruise accomplished, I let my eyes drift up and down the rest of the line.

They were unremarkable, for the most part: minor variations in my appearance or clothing. The handful that had once showed me in some nonspacing job had long since vanished toward infinity; I'd been out here a long time. Perhaps too long... a thought the half-dozen or so gaps in each arm of the pattern underlined with unnecessary force. I'd told Bradley that ships like the Dancer rarely crashed, a perfectly true statement; but what I hadn't mentioned was that the chances of simply disappearing en route were something rather higher. None of us liked to think about that, especially during critical operations like cascade point maneuvers. But the gaps in the image pattern were a continual reminder that people still died in space. In six possible realities, apparently, I'd made a decision that killed me.

Taking another deep breath, I forced all of that as far from my mind as I could and activated the Dancer's flywheel.

Even on the bridge the hum was audible as the massive chunk of metal began to spin. A minute later it had reached its top speed... and the entire ship's counter- rotation began to register on the gyroscope set behind glass in the ceiling above my head. The device looked out of place, a decided anachronism among the modern instruments, control circuits, and readouts filling the bridge. But using it was the only way a ship our size could find its way safely through a cascade point. The enhanced electron tunneling effect that fouled up electronic instrument performance was well understood; what was still needed was a way to predict the precise effect a given cascade point rotation would generate. Without such predictability, readings couldn't even be given adjustment factors. Cascade navigation thus had to fall back on gross electrical and purely mechanical systems: flywheel, physical gyroscope, simple on-off controls, and a nonelectronic decision maker. Me. Slowly, the long needle above me crept around its dial. I watched its reflection carefully in the magnifying mirror, a system that allowed me to see the indicator without having to break my neck looking up over my shoulder. Around me, the cascade images did their own slow dance, a strange kaleidoscopic thing that moved the images and gaps around within each branch of the cross, while the branches themselves remained stationary relative to me. The effect was unexplained; but then, Colloton field theory left a lot of things unexplained. Mathematically, the basic idea was relatively straightforward: the space we were in right now could be described by a type of bilinear conformal mapping— specifically, a conjugate inversion that maps lines into circles. From that point it was all downhill, the details tangling into a soup of singularities, branch points, and confluent Riemann surfaces; but what it all eventually boiled down to was that a yaw rotation of the ship here would become a linear translation when I shut down the field generator and we reentered normal space. The Dancer's rotation was coming up on two degrees now, which for the particular configuration we were in meant we were already about half a light-year closer to our destination. Another—I checked the printout—one point three six and I would shut down the flywheel, letting the Dancer's momentum carry her an extra point two degree for a grand total of eight light-years.

The needle crept to the mark, and I threw the flywheel switch, simultaneously giving my full attention over to the gyro. Theoretically, over- or undershooting the mark could be corrected during the next cascade point—or by fiddling the flywheel back and forth now—but it was simpler not to have to correct at all. The need to make sure we were stationary was another matter entirely; if the Dancer were still rotating when I threw the field switch we would wind up strung out along a million kilometers or more of space. I thought of the gaps in my cascade image pattern and shivered.

But that was all the closer death was going to get to me, at least this time. The delicately balanced spin lock worked exactly as it was supposed to, freezing the field switch in place until the ship's rotation was as close to zero as made no difference. I shut off the field and watched my duplicates disappear in reverse order, waiting until the last four vanished before confirming the stars were once again visible through the bridges tiny viewport. I sighed; and fighting the black depression that always seized me at this point, I turned the Dancer's systems back on and set the computer to figuring our exact position. Someday, I thought, I'd be able to afford to buy Aker-Ming Autotorques and never, never have to go through this again.

And someday I'd swim the Pacific Ocean, too.

Slumping back in my chair, I waited for the computer to finish its job and allowed the tears to flow.

Crying, for me, has always been the simplest and fastest way of draining off tension, and I've always felt a little sorry for men who weren't able to appreciate its advantages. This time was no exception, and I was feeling almost back to normal by the time the computer produced its location figures. I was still poring over them twenty minutes later when Alana returned to the bridge. "Another cascade point successfully hurdled, I see," she commented tiredly. "Hurray for our side."

"I thought you were supposed to be taking a real nap, not just a sleeper's worth," I growled at her over my shoulder.

"I woke up and decided to take a walk," she answered, her voice suddenly businesslike. "What's wrong?"

I handed her a printout, pointed to the underlined numbers. "The gyroscope reading says we're theoretically dead on position. The stars say we're short."

"Wumph!" Frowning intently at the paper, she kicked around the other chair and sat down. "Twenty light-days. That's what, twice the expected error for this point? Great. You double-checked everything, of course?"

"Triple-checked. The computer confirmed the gyro reading, and the astrogate program's got positive ident on twenty stars. Margin of errors no greater than ten light-minutes on either of those."

"Yeah." She eyed me over the pages. "Anything funny in the cargo?"

I gestured to the manifest in front of me. "We've got three boxes of technical equipment that include Ming metal," I said. "All three are in the shield. I checked that before we lifted."

"Maybe the shields sprung a leak," she suggested doubtfully.

"It's supposed to take a hell of a break before the stuff inside can affect cascade point configuration."

"I can go check if you'd like."

"No, don't bother. There's no rush now, and Wilkinson's had more experience with shield boxes. He can take a look when he wakes up. I'd rather you stay here and help me do a complete programming check. Unless you'd like to obey orders and go back to bed."

She smiled faintly. "No, thanks; I'll stay. Um... I could even start things alone if you'd like to go to the lounge for a while."