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Mathematics &Nature &Poetry | 14 Jan 2009

Poetic Ratios

Inger Christensen, a distinguished Danish poet whose work — lyrical, philosophical, self-referential and exquisitely mathematical — was a cornerstone of modern Scandinavian poetry, died on Jan. 2 in Copenhagen. She was 73 and lived in Copenhagen. Read N.Y.Times obituary

Inger Christensen wrote her masterpiece poem “Alphabet” in 1981.(Being reproduced below)  She uses the alphabet (from a [“apricots”] to n [“nights”]) along with the Fibonacci mathematical sequence in which the next number is the sum of the two previous ones (0, 1, 1, 2, 3, 5, 8, 13, 21, 34…).

shell

As Christensen has explained: “The numerical ratios exist in nature: the way a leek wraps around itself from the inside, and the head of a snowflower, are both based on this series.” Her system ends on the n, suggesting many possible meanings including “n’s” significance as any whole number. However, despite its highly structured elements this work is a poetically evocative series concerned with oppositions such as an outpouring of the joy of the world counter posed with the fears for and forces poised for its  destruction.

Pl refer to Michele’s interesting post on Golden Ratio

Alphabet
1
apricot trees exist, apricot trees exist

2
bracken exists; and blackberries, blackberries;
bromine exists; and hydrogen, hydrogen

3
cicadas exist; chicory, chromium,
citrus trees; cicadas exist;
cicadas, cedars, cypresses, the cerebellum

4
doves exist, dreamers, and dolls;
killers exist, and doves, and doves;
haze, dioxin, and days; days
exist, days and death; and poems
exist; poems, days, death

5
early fall exists; aftertaste, afterthought;
seclusion and angels exist;
widows and elk exist; every
detail exists; memory, memory’s light;
afterglow exists; oaks, elms,
junipers, sameness, loneliness exist;
eider ducks, spiders, and vinegar
exist, and the future, the future

6
fisherbird herons exist, with their grey-blue arching
backs, with their black-feathered crests and their
bright-feathered tails they exist; in colonies
they exist, in the so-called Old World;
fish, too, exist, and ospreys, ptarmigans,
falcons, sweetgrass, and the fleeces of sheep;
fig trees and the products of fission exist;
errors exist, instrumental, systemic,
random; remote control exists, and birds;
and fruit trees exist, fruittherein the orchard where
apricot trees exist, apricot trees exist
in countries whose warmth will call forth the exact
colour of apricots in the flesh

7
given limits exist, streets, oblivion
and grass and gourds and goats and gorse,
eagerness exists, given limits
branches exist, wind lifting them exists,
and the lone drawing made by the branches
of the tree called an oak tree exists,
of the tree called an ash tree, a birch tree,
a cedar tree, the drawing repeated
in the gravel garden path; weeping
exists as well, fireweed and mugwort,
hostages, greylag geese, greylags and their young;
and guns exist, an enigmatic back yard;
overgrown, sere, gemmed just with red currants,
guns exist; in the midst of the lit-up
chemical ghetto guns exist
with their old-fashioned, peaceable precision
guns and wailing women, full as
greedy owls exist; the scene of the crime exists;
the scene of the crime, drowsy, normal, abstract,
bathed in a whitewashed, godforsaken light,
this poisonous, white, crumbling poem

8
whisperings exist, whisperings exist
harvest, history, and Halley’s

comet exist; hosts exist, hordes
high commanders, hollows, and within the hollows
half-shadows, within the half-shadows occasional

hares, occasional hanging leaves shading the hollow where
bracken exists, and blackberries, blackberries
occasional hares hidden under the leaves

and gardens exist, horticulture, the elder tree’s
pale flowers, still as a seething hymn;
the half-moon exists, half-silk, and the whole
heliocentric haze that has dreamed
these devoted brains, their luck, and human skin

human skin and houses exist, with Hades
rehousing the horse and the dog and the shadows
of glory, hope; and the river of vengeance;
hail under stoneskies exists, the hydrangeas’
white, bright-shining, blue or greenish

fogs of sleep, occasionally pink, a few
sterile patches exist, and beneath
the angled Armageddon of the arching heavens, poison,
the poison helicopter’s humming harps above the henbane,
shepherd’s purse, and flax, henbane, shepherd’s purse
and flax; this last, hermetic writing,
written otherwise only by children; and wheat,
wheat in wheatfields exists, the head-spinning

horizontal knowledge of wheatfields, half-lives,
famine, and honey; and deepest in the heart,
otherwise as ever only deepest in the heart,
the roots of the hazel, the hazel that stands
on the hillslope of the heart, tough and hardy,
an accumulated weekday of Angelic orders;
high-speed, hyacinthic in its decay, life,
on earth as it is in heaven

One Response to “Poetic Ratios”

  1. on 20 Jan 2009 at 12:03 am 1.michele roohani said …

    they say all mathematicians are poets and vice-versa and Christensen proves it.

    “high-speed, hyacinthic in its decay, life,
    on earth as it is in heaven…”

    simply beautiful, purely mathematic—Fibonacci would have appreciated it…

    from NYtimes: “Ms. Christensen’s poems are known in particular for being organized along carefully worked-out geometrical lines. Often constructed to contain ever-smaller replicas of their own form, many of them have the elegant, self-mirroring quality of fractals.”

    “A society can be so stone-hard
    That it fuses into a block
    A people can be so bone-hard
    That life goes into shock

    And the heart is all in shadow
    And the heart has almost stopped
    Till some begin to build
    A city as soft as a body”

    i didn’t know her and i found her work with some difficulty here:
    http://books.google.com/books?id=jICuljIcQtcC&pg=PR13&lpg=PR13&dq=A+society+can+be+so+stone-hard++That+it+fuses+into+a+block++A+people+can+be+so+bone-hard++That+life+goes+into+shock&source=web&ots=l6fWDt_r_F&sig=8CPZECxFp9cPy_5KXh-XRqddx8U&hl=en&sa=X&oi=book_result&resnum=2&ct=result

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