Poem fractal
0.012 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.
−0.2151 − 0.3013i
Drawing the boundary…
by Thomas Hardy
−0.2224 − 0.3110i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
The railroad track is miles away,
And the day is loud with voices speaking,
Yet there isn’t a train goes by all day
But I hear its whistle shrieking.
All night there isn’t a train goes by,
Though the night is still for sleep and dreaming,
But I see its cinders red on the sky,
And hear its engine steaming.
My heart is warm with the friends I make,
And better friends I’ll not be knowing,
Yet there isn’t a train I wouldn’t take,
No matter where it’s going.
by Thomas Hardy
(Lines on the loss of the "Titanic")
In a solitude of the sea
Deep from human vanity,
And the Pride of Life that planned her, stilly couches she.
Steel chambers, late the pyres
Of her salamandrine fires,
Cold currents thrid, and turn to rhythmic tidal lyres.
Over the mirrors meant
To glass the opulent
The sea-worm crawls — grotesque, slimed, dumb, indifferent.
Jewels in joy designed
To ravish the sensuous mind
Lie lightless, all their sparkles bleared and black and blind.
Dim moon-eyed fishes near
Gaze at the gilded gear
And query: "What does this vaingloriousness down here?"…
Well: while was fashioning
This creature of cleaving wing,
The Immanent Will that stirs and urges everything
Prepared a sinister mate
For her — so gaily great —
A Shape of Ice, for the time far and dissociate.
And as the smart ship grew
In stature, grace, and hue,
In shadowy silent distance grew the Iceberg too.
Alien they seemed to be;
No mortal eye could see
The intimate welding of their later history,
Or sign that they were bent
By paths coincident
On being anon twin halves of one august event,
Till the Spinner of the Years
Said "Now!" And each one hears,
And consummation comes, and jars two hemispheres.
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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