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Russian Literature LXIV (2008) III/IV

www.elsevier.com/locate/ruslit

. III. / THE TABLES OF FATE. FRAGMENT III. THE ALPHABET OF

THE SKY

/ VELIMIR CHLEBNIKOV

0304-3479/$ see front matter 2008 Elsevier B.V. All rights reserved.doi:10.1016/j.ruslit.2008.11.003

374 / Velimir Chlebnikov

, . . , . . [] . , ; , , , , , . , ,

/ The Alphabet of the Sky 375

The Alphabet of the Sky If the worlds izba is built from beams of two and three, it can best be seen in the skys times. But for this we must part with the domestic bag and baggage of the act of addition and instead take to the road with the act of raising to a power. Addition is handy for small matters of calculation for putting money into equal columns, for counting the number of sheep in a flock. It was the companion of shepherds and tenders of money. [Coming] The stars shepherds take with them as their guiding staff the act of raising to a power. For if the pure laws of the universe exist then their numbers must have proudly occupied the places of the exponents; only in this position, each of their most insignificant actions caused a shift, making the universe reel, and thus the matter of administering the universe became an easy and pleasant occupation, almost a game, and the sceptre of the universe a plaything. In these circumstances, attributes of divine power inhere in number, by constrast, in other circumstances, the stamp of slavery lies on it

376 / Velimir Chlebnikov

? , [] , - , . 365 = 35 + 34 + 33 + 32 + 31 + 30 + 1. [ ] , [ ] , . , , [] [] . n+1 = 3n + 3n-1 + 3n-2 ... + 31 + 30 + 1 n

1 2 3 4 5 6 7 8 9

10 11 12 13

30 = 1 31 = 3 32 = 9 33 = 27 34 = 81

35 = 243 36 = 729 37 = 2187 38 = 6561

39 = 19683 310 = 59049 311 = 177147 312 = 531441

n

2 5

14 41

122 365 1094 3281 9842 29525 88574

265721 797162

[] n

1 2 3 4 5 6 7 8 9 10 11 12 13

/ The Alphabet of the Sky 377

How is a year constructed? A year resembles the tower of Sjumbeki, the easts temples and volumes where box on box right-angled weakening [] structures ascend upwards, culminating in a needle with a Zilanth snake or something A year consists of a series of descending powers of three, beginning with five Its temple ends in a one. As in 365 = 35 + 34 + 33 + 32 + 31 + 30 + 1. On this game [of series descending powers] of descending series are also built the times of the heavenly bodies in the solar systems outer belt for they are branches of the same tree, [of the same law] where the year grows from the root of days and nights, ceasing to be days and nights. It will grow in threes, in rings, in a recurrent take-off [ascent] to the next power Here are the tables of the descending series [of powers] of three. n+1 = 3n + 3n-1 + 3n-2 ... + 31 + 30 + 1 Orde n

1 2 3 4 5 6 7 8 9 10 11 12 13

Value of the elder three

30 = 1 31 = 3 32 = 9 33 = 27 34 = 81 35 = 243 36 = 729

37 = 2187 38 = 6561

39 = 19683 310 = 59049 311 = 177147 312 = 531441

Value n

2 5 14 41

122 365

1094 3281 9842 29525 88574 265721 797162

Name of series [Out] n

1 2 3 4 5 6 7 8 9 10 11 12 13

378 / Velimir Chlebnikov

213 +n

3n-1 + 3n-2 ... 30 + 1 =

n+1 = 3n 1 .

.

1 365 = 6 = 2 687 = 7 4 6 1 3 4 5 6

4332 = 8 + 7 4 1 10759 = 9 + 7 4 5 3 30688 = 10 + 7 4 + 5 3 + 1 60181 = 11 10 + 7 + 4 1 1 7 4 = 1053

= = = = =

4- 5- 5 , .

2n19A + + 7 4 3 + 3n X =

n = 1 10759, n = +1 30638 ,

+2

n13A2

15 nA + n 1 4 + X =

n = 1 687 , n = +1 4332 . X = 7+n + 7 4 [3 5 (-1)n](n-1)22-n n = 1, X = 4332 n = 2, X = 10759 n = 3, X = 30688

/ The Alphabet of the Sky 379

213n +where 3n-1 + 3n-2 ... 30 + 1 =

but n+1 = 3n 1 The older street of descending towers is equal to the younger one trebled minus one.

Year of three in the sky.

365 = 6 1 = Earth 2 3 4 5 6

687 = 7 4 6 1 4332 = 8 + 7 4 1 10759 = 9 + 7 4 5 3 30688 = 10 + 7 4 + 5 3 + 1 60181 = 11 10 + 7 + 4 1 1 where 7 4 = 1053

= Mars = Jupiter = Saturn = Uranus = Neptune

We see that the 4th and 5th expansions differ only in the change of the sign before 5 and the increase by one of the power of the older term, the oldest tower on the whole street.

In writing

2n19A + + 7 4 3 + 3n X =

when n = 1 we get 10759, when n = +1 we get 30638 or, in writing

+2

n13A 4 + n 1 X = 2

n15A +

when n = 1 we get the 687 day year of Mars, when n = +1 we get the 4332 year of Jupiter or the times of war and the father of the gods. The common bracket for the three stars is as follows X = 7+n + 7 4 [3 5 (-1)n](n-1)22-n n = 1, X = 4332 n = 2, X = 10759 n = 3, X = 30688

380 / Velimir Chlebnikov

[ ] . [] , , - . [ ] . X = 36+n + 35+n+ 34+n ... 31 + 30 + 1 + 36 + 35 + 34 + + 33 + 32 + 31 + 30 + 1 33 32 31 30 1 [32 + 31 + 30 + 1 + ( 34 33 32 31 30 1)(1)n](n1)22-n n = 1, X = 4332 n = 2, X = 10759 n = 3, X = 30688 [] 365 = 35 + 34 + 33 + 32 + 31 + 30 + 1 [] , . , , [ ] , : 7 6 11 10, .

/ The Alphabet of the Sky 381

This equation is very pretty if it is written [in the shape of] as chains of descending powers of three. Accordingly, the departing [lowering] exponents nod their heads like feather-grass, like the tops of grasses and ripple like rye fields of number,

like a kind of rye of threes. We will write down our law in chains of threes so as to obtain a spectators joy at the sight of these endless chains [of numerical ears of threes] of stout numerical ears. X = 36+n + 35+n+ 34+n ... 31 + 30 + 1 + 36 + 35 + 34 + + 33 + 32 + 31 + 30 + 1 33 32 31 30 1 [32 + 31 + 30 + 1 + ( 34 33 32 31 30 1)(1)n](n1)22-n n = 1, X = 4332 n = 2, X = 10759 n = 3, X = 30688 We see that the simplest [instance] law is that of the earth year, namely 365 = 35 + 34 + 33 + 32 + 31 + 30 + 1 The other years grow like branches [leaves] of the same law, but only by becoming more complex. The peripheral stars, the outermost stars of the two zones, [Mars and Neptune] War and Sea, have a common structure and their years are constructed on the difference of neighbouring chains: 7 6 and 11 10, of which there are none in other instances.

382 / Velimir Chlebnikov

[] . , [ ] , [] . , . : 2, 3 11, . 11 , , [] 11 ; , . , [] , . X = n + n n 3 2; X 11, n 3 2. 11 . , . = s1 = 113 +311 + 310 + 39 + 38 + 37 + 36 + 35 + 34 + 33 + 32 + 31 + 30 + 1 + 1 + 20 + 21 + 22 + 23 + 24 + 25 + 26 + 27 + 28 + 29 + 210 + 211 + 112 [] 11- , , []

/ The Alphabet of the Sky 383

These feather-grasses of threes conceal at times like thickets [sometimes] the steppes of human fates The breath from times joined lips covers both the glass of stars and the glass of peoples fate, the same law both here and there. Now we will show that according to this same [according to which] law empires fall, [how] luminaries of song come into the world. These same chains of descending threes, these same seed-heads of numbers. There exists a series, surprising by its mirror-like nature, made up of three numbers: 2, 3 and 11, where the rustle of rippling numbers is almost audible. 11 is an amazing number, one that could be a stone in an entire building of numbers and not shake it, if we crossed over [go over] from two to three and back again in the world of number 11 the natures of two and three are equal to one another; this is a sweet number, sweetening the bitterness of three. It is not surprising that the [sugary] skys temporal structure is built on it the substance sugar, as in the eq. X = n + n where and n are either 3 or 2; X is always 11, whether n is 3 or 2. 11 is ubiquitous where the world of two transforms itself into the world of three. It is as though we are starting to know the taste of numbers. This is the series = s1 = 113 +311 + 310 + 39 + 38 + 37 + 36 + 35 + 34 + 33 + 32 + 31 + 30 + 1 + 1 + 20 + 21 + 22 + 23 + 24 + 25 + 26 + 27 + 28 + 29 + 210 + 211 + 112 [The sign] The law of the increase of powers passes from nothing to the 11th first along the plane of three, then along the plane of two, [after that]

384 / Velimir Chlebnikov

, 11- , 11 2- 3- . [ ] 11 [] , . , . 2n + 2n-1 + 2n-2...21 +20 + 1 = 2n+1

21312 +

s1 = 212 + + 112 + 113 = 271269

743 74 742 253 .

29 V 1453 = 1 21 VII 711 = 2 2 IX 31 = 3 24 VIII 410 = 4 5 XI 333 = 5

, . 1 2 = 742 52 2 3 = 741 43 4 5 = 742 73 . , . , ,

. :

/ The Alphabet of the Sky 385

like the original and its reflection, thus the direction of the calculation changes and it is not that three and two are raised to the 11th power, but that 11 is raised to the 2nd and 3rd powers. Multiplied by themselves thrice and twice [These powers] these 11s [like] are like guards bringing up the rear of tw

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