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  TOPICS:

  Irrational Root

  Triangle

  R-13

  How long ago it was—during my school years— when I first encountered V- l. A vivid memory, as though cut out of time: the brightly lit spherical hall, hundreds of round boys’ heads, and Plapa, our mathematics teacher. We nicknamed him Plapa. He was badly worn out, coming apart, and when the monitor plugged him in, the loudspeakers would always start with “Pla-pla-pla-tsh-sh sh,” and only then go on to the day’s lesson. One day Plapa told us about irrational numbers, and, I remember, I cried, banged my fists on the table, and screamed, “I don’t want V”!! Take V-1 out of me!” This irrational number had grown into me like something foreign, alien, terrifying. It devoured me—it was impossible to conceive, to render harmless, because it was outside ratio.

  And now again V-1. I’ve just glanced through my notes, and it is clear to me: I have been dodg-ing, lying to myself—merely to avoid seeing the V-1 — It’s nonsense that I was sick, and all the rest of it. I could have gone there. A week ago, I am sure, I would have gone without a moment’s hesitation. But now? Why?

  Today, too. Exactly at sixteen-ten I stood before the sparkling glass wall. Above me, the golden, sunny, pure gleam of the letters on the sign over the Office. Inside, through the glass, I saw the long line of bluish unifs. Faces glowing like icon lamps in an ancient church: they had come to perform a great deed, to surrender upon the altar of the One State their loved ones, their friends, themselves. And I—I longed to join them, to be with them. And could not: my feet were welded deep into the glass slabs of the pavement, and I stood staring dully, incapable of moving from the spot.

  “Ah, our mathematician! Dreaming?”

  I started. Black eyes, lacquered with laughter; thick, Negroid lips. The poet R-13, my old friend— and with him, pink O.

  I turned angrily. If they had not intruded, I think I finally would have torn the V-1 out of myself with the flesh, and entered the Office.

  “Not dreaming. Admiring, if you wish!” I answered sharply.

  “Certainly, certainly! By rights, my good friend, you should not be a mathematician; you ought to be a poet! Yes! Really, why not transfer to us poets, eh? How would you like that? I can arrange it in a moment, eh?”

  R-13 speaks in a rush of words; they spurt out in a torrent and spray comes flying from his thick lips. Every “p” is a fountain; “poets”—a fountain.

  “I have served and will continue to serve knowledge,” I frowned. I neither like nor understand jokes, and R-13 has the bad habit of joking.

  “Oh, knowledge! This knowledge of yours is only cowardice. Don’t argue, it’s true. You’re simply trying to enclose infinity behind a wall, and you are terrified to glance outside the wall. Yes! Just try and take a look, and you will shut your eyes. Yes!”

  “Walls are the foundation of all human…” I began.

  R spurted at me like a fountain. O laughed roundly, rosily. I waved them off—laugh if you please, it doesn’t matter to me. I had other things to think about I had to do something to expunge, to drown out that damned V-1.

  “Why not come up to my room,” I suggested. “We can do some mathematical problems.” I thought of that quiet hour last evening—perhaps it would be quiet today as well.

  O glanced at R-13, then at me with clear, round eyes. Her cheeks flushed faintly with the delicate, exciting hue of our coupons.

  “But today I… Today I am assigned to him,” she nodded at R, “and in the evening he is busy… So that…”

  R’s wet, lacquered lips mumbled good-humoredly “Oh, half an hour will be enough for us. Right, O? I don’t care for your problems, let’s go up to my place for a while.”

  I was afraid to remain alone with myself, or rather, with that new, foreign being who merely by some odd chance had my number—D-503. And I went with them to R’s place. True, he is not precise, not rhythmical, he has a kind of inside-out, mocking logic; nevertheless, we are friends. Three years ago we had chosen together the charming, rosy O. This bound us even more firmly than our school years.

  Then, up in R’s room. Everything would seem to be exactly the same as mine: the Table, the glass chairs, the closet, the bed. But the moment R entered, he moved one chair, another—and all planes became displaced, everything slipped out of the established proportions, became non-Euclidean. R is the same as ever. In Taylor and in mathematics he was always at the bottom of the class.

  We recalled old Plapa, the little notes of thanks we boys would paste all over his glass legs (we were very fond of him). We reminisced about our law instructor.[3] This instructor had an extraordinarily powerful voice; it was as though blasts of violent wind blew from the loud-speaker—and we children yelled the texts after him in deafening chorus. We also recalled how the unruly R-13 once stuffed his speaker with chewed-up paper, and every text came with a shot of a spitball. R was punished, of course; what he had done was bad, of course, but now we laughed heartily—our whole triangle—and I confess, I did too.

  “What if he had been alive, like the ancient teachers, eh? Wouldn’t that have been…”—a spray of words from the thick lips.

  Sunlight—through the ceiling, the walls; sun— from above, from the sides, reflected from below. O sat on R’s lap, and tiny drops of sunlight gleamed in her blue eyes. I felt warmed, somehow, restored. The V-1 died down, did not stir…

  “And how is your Integral? We shall soon be setting off to educate the inhabitants of other planets, eh? You’d better rush it, or else we poets will turn out so much material that even your Integral will not be able to lift it. Every day from eight to eleven…” R shook his head, scratched it The back of his head is like a square little valise, attached from behind (I recalled the ancient painting, “In the Carriage”).

  “Are you writing for the Integral, too?” I was interested. “What about? Today, for example?”

  “Today, about nothing. I was busy with something else…” His ‘b’s spurted out at me.

  “What?”

  R made a grimace. “What, what! Well, if you wish, a court sentence. I versified a sentence. An idiot, one of our poets, too… For two years he sat next to me, and everything seemed all right Then suddenly, how do you do! ‘I am a genius,’ he says, ‘a genius, above the law.’ And scribbled such a mess---Eh! Better not speak about it…”

  The thick lips hung loosely, the lacquer vanished from his eyes. R-13 jumped up, turned, and stared somewhere through the wall. I looked at his tightly locked little valise, thinking, What is he turning over there, in that little box of his?

  A moment of awkward, asymmetrical silence. It was unclear to me what the trouble was, but something was wrong.

  “Fortunately, the antediluvian ages of all those Shakespeares and Dostoyevskys, or whatever you call them, are gone,” I said, deliberately loudly.

  R turned his face to me. The words still rushed out of him like spray, but it seemed to me that the merry shine was no longer in his eyes.

  ’Yes, my dearest mathematician, fortunately, fortunately, fortunately! We are the happiest arithmetical mean… As you mathematicians say —integration from zero to infinity, from a cretin to Shakespeare… yes!”

  I do not know why—it seemed completely irrelevant—but I recalled the other one, her tone; the finest thread seemed to extend from her to R. (What was it?) Again the V-1 began to stir. I opened my badge—it was twenty-five minutes to seventeen. They had forty-five minutes left for their pink coupon.

  “Well, I must go…” I kissed O, shook hands with R, and went out to the elevator.

  In the street, when I had already crossed to the other side, I glanced back: in the bright, sun-permeated glass hulk of the building squares of bluish-gray, opaque drawn shades could be seen here and there—squares of rhythmic, Taylorized happiness. On the seventh floor I found R-13’s square; he had already drawn the blind.

  Dear O… Dear R… In him there is also (I don’t know why “also,” but let my hand write as it will)�
��in him there is also something not entirely clear to me. And yet, he, I, and O—we are a triangle, perhaps not equilateral, but a triangle nonetheless. To put it in the language of our ancestors (perhaps, my planetary readers, this language is more comprehensible to you), we are a family. And it is so good occasionally, if only briefly, to relax, to rest, to enclose yourself in a simple, strong triangle from all that…

  Ninth Entry

  TOPICS :

  Liturgy

  Iambics and Trochees

  A Cast-Iron Hand

  A bright, solemn day. On such days you forget your weaknesses, imprecisions, ailments, and everything is crystal, immutable, eternal—like our glass.

  The Cube Plaza. Sixty-six great concentric circles of stands. Sixty-six rows of quiet luminous faces, eyes reflecting the glow of the sky, or perhaps the glow of the One State. Blood-red flowers—the women’s lips. Tender garlands of childish faces in the front rows, near the center of action. Absorbed, stern, Gothic silence.

  According to the descriptions that have come down to us, something similar was experienced by the ancients during their “religious services.” But they worshiped their own irrational, unknown God; we serve our rational and precisely known one. Their God gave them nothing except eternal, tormenting searching; their God had not been able to think of anything more sensible than offering himself as sacrifice for some incomprehensible reason. We, on the other hand, offer a sacrifice to our God, the One State —a calm, reasoned, sensible sacrifice. Yes, this was our solemn liturgy to the One State, a remembrance of the awesome time of trial, of the Two Hundred Years’ War, a grandiose celebration of the victory of all over one, of the sum over the individual.

  The one. He stood on the steps of the sun-filled Cube. A white—no, not even white, already colorless—face: a glass face, glass lips. And only the eyes—black, greedy, engulfing holes. And the dread world from which he was but minutes away. The golden badge with his number had already been removed. His arms were bound with a purple ribbon—an ancient custom. (It evidently dates back to olden times, before such things were done in the name of the One State ; in those days, the condemned understandably felt that they had the right to resist, and so their hands were usually bound in chains.)

  And all the way above, upon the Cube, near the Machine—the motionless figure, as if cast in metal, of Him whom we call the Benefactor. His face could not be seen in detail from below; all you could tell was that it was defined in square, austere, majestic contours. But the hands… It sometimes happens in photographs that the hands, placed in the foreground too near the camera, come out huge; they hold the eye and shut out all the rest So with these heavy hands, still calmly reposing on the knees. And it was clear—they were stone, and the knees were barely able to support their weight.

  Then suddenly one of those huge hands slowly rose—a slow, cast-iron movement. And from the stands, obeying the raised hand, a number approached the Cube. He was one of the State Poets, whose happy lot it was to crown the celebration with his verse. Divine, brass iambics thundered over the stands—about the madman with glass eyes, who stood there on the steps, awaiting the logical results of his mad ravings.

  A blazing fire. In the iambics buildings swayed, went up in jets of liquid gold, collapsed. Fresh green trees withered, shriveled, sap dripping out-nothing remaining but the black crosses of their skeletons. But now Prometheus (meaning us) appeared.

  “He harnessed fire in the machine, in steel, And bound chaos in the chains of Law.”

  And everything was new, everything was steel—a steel sun, steel trees, steel men. But suddenly a madman “unchained the fire” and everything would perish again…

  Unfortunately, I have a poor memory for verses, but I remember one thing: it would have been impossible to choose more beautiful, more instructive images.

  Again the slow, heavy gesture, and a second poet appeared on the steps of the Cube. I even rose a little from my seat: it could not be! No, those were his thick lips, it was he… Why hadn’t he told me he was to have this high… His lips trembled, they were gray. I understood: to appear before the Benefactor, before the entire host of Guardians… Yet-to be so nervous…

  Sharp, quick trochees—like blows of an ax. About a heinous crime, about sacrilegious verses which dared to call the Benefactor… no, my hand refuses to repeat it.

  R-13 sank into his seat, pale, looking at no one (I would not have expected him to be so shy). For the smallest fraction of a second I had a glimpse of someone’s face—a dark, sharp, pointed triangle-flashing near him, then vanishing at once. My eyes, thousands of eyes, turned up to the Machine. The third castiron gesture of the nonhuman hand. And the transgressor, swayed by an unseen wind, walked slowly up one stair, another, and now—the last step in his life, and he is on his last bed, face to the sky, head thrown back.

  The Benefactor, heavy, stony as fate, walked around the Machine, placed His huge hand on the lever… Not a sound, not a breath—all eyes were on that hand. What a fiery gust of exaltation one must feel to be the instrument, the resultant of a hundred thousand wills! What a great destiny!

  An infinite second. The hand moved down, switching on the current A flash of the intolerably dazzling blade of the ray, sharp as a shiver; faint crackling of the tubes in the Machine. The prone body enveloped in a light, glowing mist—and melting, melting before our eyes, dissolving with appalling speed. Then nothing—only a small puddle of chemically pure water, which but a moment ago had pulsed redly, wildly in the heart…

  All this was elementary and known to everyone: yes, dissociation of matter; yes, splitting of the atoms of the human body. And yet each tune it was a miracle—a token of the superhuman power of the Benefactor.

  Above us, facing Him, the flushed faces of ten female numbers, lips parted with excitement, flowers swaying in the wind.[4]

  According to the old custom, ten women garlanded with flowers the Benefactor’s unif, still wet with spray. With the majestic step of a high priest, He slowly descended and slowly walked between the stands. And in His wake, the delicate white branches of female hands raised high, and a million-voiced storm of cheers, shouted in unison. Then cheers in honor of the host of Guardians, invisibly present somewhere here, within our ranks. Who knows, perhaps it was precisely these Guardians who had been foreseen by the imagination of ancient man when he created his dread and gentle “archangels” assigned to each man from his birth.

  Yes, there was something of the old religions, something purifying like a storm, in that solemn ceremony. You who will read this—are you familiar with such moments? I pity you if you are not…

  Tenth Entry

  TOPICS:

  A Letter

  A Membrane

  My Shaggy Self

  Yesterday was to me like the paper through which chemists filter their solutions: all suspended particles, all that is superfluous remains on this paper. And this morning I went downstairs freshly distilled, transparent.

  Downstairs in the vestibule, the controller sat at her table, glancing at the watch and writing down the numbers of those who entered. Her name is U… but I had better not mention her number, lest I say something unflattering about her. Although, essentially, she is quite a respectable middle-aged woman. The only thing I dislike about her is that her cheeks sag like the gills of a fish (but why should that disturb me?).

  Her pen scraped, and I saw myself on the page— D-503, and next to me an inkblot.

  I was just about to draw her attention to it when she raised her head and dripped an inky little smile at me. “There is a letter for you. Yes. You will get it, my dear, yes, yes, you will get it.”

  I know that the letter, which she had read, still had to pass the Office of the Guardians (I believe there is no need to explain to you this natural procedure), and would reach me not later than twelve. But I was disturbed by that little smile; the ink drop muddied my transparent solution. So much, in fact, that later, at the Integral construction site, I could not concentrate and e
ven made a mistake in my calculations, which had never happened to me before.

  At twelve, again the pinkish-brown gills, and finally the letter was in my hands. I don’t know why I did not read it at once, but slipped it into my pocket and hurried to my room. I opened it, ran through it, and sat down… It was an official notification that number I-330 had registered for me and that I was to be at her room today at twenty-one. The address was given below.

  No! After everything that had happened, after I had so unequivocally shown my feelings toward her! Besides, she did not even know whether I had gone to the Office of the Guardians. After all, she had no way of learning that I had been sick—well, that I generally could not… And despite all this…

  A dynamo whirled, hummed in my head. Buddha, yellow silk, lilies of the valley, a rosy crescent… Oh, yes, and this too: O was to visit me today. Ought I to show her the notice concerning I-330? I didn’t know. She would not believe (indeed, how could she?) that I’ve had nothing to do with it, that I was entirely… And I was sure—there would be a difficult, senseless, absolutely illogical conversation… No, only not that Let everything be resolved automatically: I would simply send her a copy of the notice. I hurriedly stuffed the notice into my pocket— and suddenly saw this dreadful, apelike hand of mine. I recalled how I-330 had taken my hand that time, during the walk, and looked at it. Did she really…

  And then it was a quarter to twenty-one. A white night Everything seemed made of greenish glass. But a very different glass from ours—fragile, unreal, a thin glass shell; and under it something whirling, rushing, humming… And I would not have been astonished if the cupolas of the auditoriums had risen up in slow, round clouds of smoke, and the elderly moon smiled inkily—like the woman at the table in the morning, and all the shades dropped suddenly in all the houses, and behind the shades…