Ilisidi regarded him with a shake of her head. "Such a creature you are. Such a creature. And not in touch with your university. Done it all yourself, have you."

"I knowthe essence of things I can't explain by mathematics, 'Sidi-ma." To his dismay he let slip the familiar name, the way he held the dowager in his mind. And didn't know how to cover it. "You show your children far more complex things than they have the mathematics to understand. That's the way I learned. That's what I have to draw on. A child's knowledge of how his ancestors moved between the stars. They didn't teach me to fly starships. I just know why they work."

"Faster-than-light."

"Much faster than light."

"Do you know, paidhi, an old reprobate such as myself could ask to what extent all this celestial mapmaking is new, and how much humans were prepared to give at this juncture. You certainly aren't using Hanks-paidhi for a decoy, are you?"

"Nand' dowager, on my reputation and my goodwill to you, I emphatically did notclear Hanks-paidhi to leak that to Geigi. And I didn't clear with my Department what I've just told you."

" Whencethis astronomer, whenceGeigi's dilemma, at the very moment this ship beckons in the heavens — when you need the goodwill of such as myself, nand' paidhi? Is this my grandson's planning? Is this one of his adherents?"

He was in, perhaps, the greatest danger he had ever realized in his life, including bombs falling next to him.

The daylight had increased as they sat, and those remarkable eyes, so mapped about with years, were absolutely cold. One didn't betray 'Sidi-ji and live to profit from it. One didn't betray Cenedi and harm Ilisidi's interests — and walk free.

Ilisidi snapped her fingers. A servant, one of Cenedi's, he was sure, brought a teapot and poured for each of them.

He looked Ilisidi in the eyes as he drank, the whole cup, and set the cup aside.

"So?" Ilisidi asked.

"Nand' dowager, if it's Tabini's planning, his means eludes me. This is an old and respected man in his district, no new creation, that I detected."

"Then what is your explanation? Why this coincidence?"

"Simply that the man may be right, nand' dowager. The man may have found the truth, for what I know. I'm not a mathematician — but I should never wonder at someone finding what really exists."

"At the convenient moment? At this exactly convenient moment for him to do so? And my grandson had nocollusion with humans to slip this cataclysm in on us, to destroy a tenet of Determinist belief?"

"It doesn't destroy it! By what I can tell, it doesn't destroy it, it supports it."

"So you've been told. And you just happen to rush out where a man has just happened to find the truth."

"Not 'just happened,' nand' dowager. Not'just happened.' It's the whole progress of our history behind this man. We've not been transferring just thingsinto atevi hands. We've transferred our designs and our mathematical knowledge to a people who've proceeded much more slowly in their science than humans did withoutatevi skill at numbers — a speed we managed because we dead-reckon, approximate, and proceed as atevi won't. One can do this — when one builds steam engines and builds things stronger than economical, rather man risk calamity. We were astonished that you took so long to advance. We watched the debates over numbers. We waited."

"For us poor savages."

"We thought so in the beginning. We couldn't figure why you couldn't just accept what we knew as fact, keep quiet, and build by our designs — but the point is, it wasn't fact, it was very close approximation. And atevi demanded to understand. Then, then, we began to realize it wasn't just the designs we were transferring: you were extracting our numbers, refining them in an atevi conceptualization that we knew was going to break out someday in a way we didn't foresee. When we gave you the computers that most humans use to figure simple household accounts, you questioned our logical designs. We knew there'd come a day, an insight, a moment, that you'd make a leap of understanding we might not follow. Not in engineering, perhaps. You are such immaculate perfectionists, when our approximations will bear traffic and hold back the waters of a lake; but in the pure application of numbers — no, I'm not in the least shocked that a breakthrough has come at this moment, not even that it's come in astronomy, in which we've had the very leastdirect contact with your scientists. We gave atevi mathematicians computers. We knew study was going on. It never surprised me that the Determinists hold the speed of light as a matter of importance: it is important; it's far from surprising that astronomers seeking precision in their measurements are using it and discovering new truths —"

Air seemed scant. He was walking a ledge far past his own scientific expertise — far beyond his ability to prove — and on a major, dangerous point of atevi belief.

"I don't know these things, aiji-ma. I'd wish the astronomers of the Bergid and the scholars on Mospheira could talk to each other. But I'm the only one who could translate. And the emeritus was using mathematical symbols I don't remotely know how to render — I'm not even sure human mathematics has direct equivalents. I suspect some of them are couched in the Ragi language, and if they rely on me to get them into Mosphei', humans are never going to understand."

"Such delicate modesty."

"No. Reality. Most humans don't speak your language, aiji-ma, because most humans aren't nearly as good in math as I am. You view it as so important to know those numbers — and we don't, aiji-ma. We can't add that fast in our heads. We haveto approximate — not that we're disrespectful of atevi concepts; we just can't add that fast. Our language doesn't have your requirements, your expressions, your concepts. At times my brain aches just talking with you — and for a human, I'm not stupid. But I'm working as hard as I can sometimes just talking to you, especially about math — far from conveying folded-space mathematics to anyone whose symbols I can't remotely read, nand' dowager. I'm reduced to asking the man's young students what he said and finding out that theydon't understand all he says, even with their advantage in processing the language."

There was long silence, once he stopped talking. Long silence. Ilisidi simply sat and stared at him. Wind stirred the edge of the tablecloth, and blew the scent of diossi flowers to the table.

"Cenedi will see you out," Ilisidi said.

"Nand' dowager," he said, feeling both fear — and real sadness in his sense of failure. He rose from the table, bowed, and went to the door and inside the apartment.

Cenedi met him there.

"I've offended her," he said to Cenedi quietly. "Cenedi-ji, she doubts me."

"Justly?" Cenedi did him the courtesy of asking.

"No," he said fervently. "No. But I can't make her understand I'm not smart enough to do what she thinks I've done. I may have given her the ravings of a madman. I hope I haven't. But I can't read his writings to judge. I could only copy them. I can't judge the quality of it. I don't know what I've given her. I hoped it would do some good."

"One heard," Cenedi said as they crossed the room toward the door.

"At least — tell her I wish her well, and hope for her eventual good regard."

"One will pass the message," Cenedi said, "nand' paidhi."

Banichi picked him up — and asked, since the paidhi wasn't bothering to put on a cheerful face, not how it had gone, but what had happened; and he could only shrug and say, "Nothing good, Banichi. I did something wrong. I can't tell what."