The Arch
The days of our life are a bridge
Between night and night:
And we look not on eternity
But upon its light
Broken into beauty, by the day
And the life of men,
As the day is broken on the world's edge
By the falling rain.
Poem fractal
0.026 apart. A smaller distance means the lines are built more alike.
This number is read from the build of the lines. The bright edge is that number, carried outward until the pattern repeats.
0.1542 − 0.5574i
Drawing the boundary…
0.1676 − 0.5796i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
The days of our life are a bridge
Between night and night:
And we look not on eternity
But upon its light
Broken into beauty, by the day
And the life of men,
As the day is broken on the world's edge
By the falling rain.
It once might have been, once only:
We lodged in a street together,
You, a sparrow on the housetop lonely,
I, a lone she-bird of his feather.
Your trade was with sticks and clay,
You thumbed, thrust, patted, and polished,
Then laughed "They will see some day,
Smith made, and Gibson demolished."
My business was song, song, song;
I chirped, cheeped, trilled, and twittered,
"Kate Brown's on the boards ere long,
And Grisi's existence embittered!"
I earned no more by a warble
Than you by a sketch in plaster;
You wanted a piece of marble,
I needed a music-master.
We studied hard in our styles,
Chipped each at a crust like Hindoos,
For air, looked out on the tiles,
For fun, watched each other's windows.
You lounged, like a boy of the South,
Cap and blouse—nay, a bit of beard too;
Or you got it, rubbing your mouth
With fingers the clay adhered to.
And I—soon managed to find
Weak points in the flower-fence facing,
Was forced to put up a blind
And be safe in my corset-lacing.
No harm! It was not my fault
If you never turned your eye's tail up
As I shook upon E in alt,
Or ran the chromatic scale up:
For spring bade the sparrows pair.
And the boys and girls gave guesses,
And stalls in our street looked rare
With bulrush and watercresses.
Why did not you pinch a flower
In a pellet of clay and fling it?
Why did not I put a power
Of thanks in a look or sing it?
I did look, sharp as a lynx,
(And yet the memory rankles)
When models arrived, some minx
Tripped up stairs, she and her ankles.
But I think I gave you as good!
"That foreign fellow,—who can know
How she pays, in a playful mood,
For his tuning her that piano?"
Could you say so, and never say
"Suppose we join hands and fortunes,
And I fetch her from over the way,
Her, piano, and long tunes and short tunes?"
No, no: you would not be rash,
Nor I rasher and something over;
You've to settle yet Gibson's hash,
And Grisi yet lives in clover.
But you meet the Prince at the Board,
I'm queen myself at bals-parés,
I've married a rich old lord,
And you're dubbed knight and an R.A.
Each life unfulfilled, you see;
It hangs still, patchy and scrappy:
We have not sighed deep, laughed free,
Starved, feasted, despaired,—been happy
And nobody calls you a dunce,
And people suppose me clever;
This could but have happened once,
And we missed it, lost it forever.
A fractal is a shape that keeps its pattern when you look closer. Coastlines, trees, shells, and weather do this. The large form and the small form are the same kind of thing. A poem can be drawn that way. The shape of the whole comes from the shape of the lines.
Primunia is the name for the source of that order: the pattern under the pattern, already there in a tree, a shell, and a verse.
The number under the picture is the poem constant. It is read from the build of the lines: their length, how uneven they are, the size of the stanzas, the share of vowels, and the way the lines end. A new word moves the number when it changes that build. The same poem always gives the same number.
Drawn on its own, that number sits in a quiet part of the plane, and most poems would look like the same soft disk. So the number is carried outward along its own direction until it meets the edge of the Mandelbrot set, where the shape turns sharp. The picture is the Julia set of that meeting place.
Each point on the canvas is folded again and again by one small rule. Points that stay near the rule form the dark interior. Points that rush away become the coloured bands. The hue comes from the poem constant, and the brightest bands turn toward gold. Change the length of a line, the stanza, or the vowel share, and both the number and the picture move.
Branching draws the poem as a tree. Each turn follows a line, and every smaller branch repeats that pattern. A longer line reaches farther. The letters at the start of a line bend the next turn. A higher share of vowels opens the branches wider.
The trunk takes its colour from the poem constant and warms toward gold at the tips. When the poem has more than one stanza, gold forks leave the trunk. Each fork is a stanza beyond the first, up to three. The tree divides where the poem divides. One stanza remains a single trunk.
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