As the human world seems to grow more chaotic, as though entropy were finally triumphant, I look for evidence of pattern and design in nature and among writers I admire.
In his short story “The Bicycle Rider,” Guy Davenport arranges a still life evoking order, including two shells: “A glass jar of acorns. A nautilus shell. Shale slab with a fossil gingko leaf. A Greek coin from Metaponton in Sicily. A snail shell.” In the same story, Davenport writes: “Luck has nothing to do with happiness, which comes from rhythms, order, clarity.” In his poem “For Basil Bunting,” Davenport celebrates the spiral, which you will find everywhere if you take the time to look:
“to be Greek as a curl
on a flat cheek
“the coil of white
the Ismene lily
“spirals, hound’s tail
when his nose is down
“snail shell, paper
nautilus
wavetop scroll
“ear, weather, world
this shape of turning”
In his essay “Marianne
Moore,” Davenport says the poet loved things “cunningly made.” See her poem “The Paper Nautilus.” Here is the opening sentence of his short story “The Dawn in
Erewhon”:
“The Dutch philosopher
Adriaan Floris van Hovendaal was arranging the objects on his table, a pinecone
to remind him of Fibonacci, a snail’s shell to remind him of Ruskin, a drachma
to remind him of Crete.”
Leonardo Bonacci of Pisa, better
known as Fibonacci (c. 1170-c. 1250), lent his name to the sequence known as the
Fibonacci numbers. Starting with 0 and 1, each number in the sequence is the
sum of the previous two numbers. Thus: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,
144, 233, 377, and so on. The ratio between each term and its predecessor
approaches 1.618 . . ., the golden ratio, which appears commonly in nature and
art.
The Fibonacci numbers
suggest, at least to this non-mathematician, the presence of design principles
in the universe, perhaps one of nature’s structural default modes. The notion,
I know, appealed to Davenport, from whom I first learned of Fibonacci decades
ago in “The Dawn of Erewhon”:
“The Fibonacci number
following thirty-four is fifty-five. A set of thirty-four helix curves
radiating from a common center clockwise crossing a set of fifty-five helix
curves rotating counterclockwise from the same center gives the finely meshed
honeybrown redgold spiral net panier of the Grote Zonnebloem, Helianthus
annuus.
“Adriaan had one on his
desk, others in a wicker basket at his feet. If one spiral is a rotation of
thirteen helices, then the counterspiral is twenty-one. Fibonacci, both. And he
[Fibonacci] had brought the ancient Indic naught, the Arabian number unoccupied
by quantity, to be our zero.
“Fibonacci harmonies ran
through the pinecone which he kept on his table, through the snail shell.”
Helianthus annuus is the sunflower, in which each floret is positioned toward the next at an angle of about 137.5 degrees, the golden angle. This produces the pattern of interconnecting spirals described by Davenport. Botanists speculate that the arrangement results in the most efficient packing of seeds.
Clearly, this pattern fascinated Davenport – and Marianne Moore, though she doesn’t name it. In her poem “The Pangolin,” she notices the creature’s skin with “scale / lapping scale with spruce-cone regularity.” In fact, the scales on cones are arranged in alternating spirals, like the sunflower, with the number of spirals always representing two adjoining numbers in the Fibonacci sequence – say, three and five, or eight and thirteen. Because Fibonacci numbers approximate irrational numbers, the scales do not line up precisely, and weaken the arrangement. There’s structural integrity in regular irregularity. Science overlaps with aesthetics. As Paul Valéry puts it in Sea Shells (1936, trans. Ralph Mannheim):
“Run off by the billions,
each different from the rest (though the difference is sometimes
imperceptible), they offer an infinite number of solutions to the most delicate
problems of art, and of absolutely perfect answers to the questions they
suggest to us.”
Another poet, Howard
Nemerov, in “Figures of Thought” (Sentences, 1980), celebrates the
patterns hiding in plain sight:
“To lay the logarithmic
spiral on
Sea-shell and leaf alike,
and see it fit,
To watch the same idea
work itself out
In the fighter pilot’s
steepening, tightening turn
Onto his target, setting
up the kill,
And in the flight of
certain wall-eyed bugs
Who cannot see to fly
straight into death
But have to cast their
sidelong glance at it
And come but cranking to
the candle’s flame —
How secret that is, and
how privileged
One feels to find the same
necessity
Ciphered in forms diverse
and otherwise
Without kinship — that is
the beautiful
In Nature as in art, not
obvious,
Not inaccessible, but just
between.
It may diminish some our
dry delight
To wonder if everything we
are and do
Lies subject to some
little law like that;
Hidden in nature, but not
deeply so.”
[Davenport’s poem appears in Thasos and Ohio (North Point Press, 1986). His story “The Bicycle Rider” is collected The Jules Verne Steam Balloon (North Point Press, 1987). The Moore essay is in The Geography of the Imagination (North Point Press, 1981). “The Dawn in Erewhon” in collected in Davenport’s first story collection, Tatlin! (Charles Scribner’s Son, 1974).]