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.
−0.6146 − 0.4169i
Drawing the boundary…
by Dylan Thomas
−0.5894 − 0.4124i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
I shall know why — when Time is over —
And I have ceased to wonder why —
Christ will explain each separate anguish
In the fair schoolroom of the sky —
He will tell me what “Peter” promised —
And I — for wonder at his woe —
I shall forget the drop of Anguish
That scalds me now — that scalds me now!
by Dylan Thomas
Before I knocked and flesh let enter,
With liquid hands tapped on the womb,
I who was shapeless as the water
That shaped the Jordan near my home
Was brother to Mnetha’s daughter
And sister to the fathering worm.
I who was deaf to spring and summer,
Who knew not sun nor moon by name,
Felt thud beneath my flesh’s armour,
As yet was in a molten form,
The leaden stars, the rainy hammer
Swung by my father from his dome.
I knew the message of the winter,
The darted hail, the childish snow,
And the wind was my sister suitor;
Wind in me leaped, the hellborn dew;
My veins flowed with the Eastern weather;
Ungotten I knew night and day.
As yet ungotten, I did suffer;
The rack of dreams my lily bones
Did twist into a living cipher,
And flesh was snipped to cross the lines
Of gallow crosses on the liver
And brambles in the wringing brains.
My throat knew thirst before the structure
Of skin and vein around the well
Where words and water make a mixture
Unfailing till the blood runs foul;
My heart knew love, my belly hunger;
I smelt the maggot in my stool.
And time cast forth my mortal creature
To drift or drown upon the seas
Acquainted with the salt adventure
Of tides that never touch the shores.
I who was rich was made the richer
By sipping at the vine of days.
I, born of flesh and ghost, was neither
A ghost nor man, but mortal ghost.
And I was struck down by death’s feather.
I was a mortal to the last
Long breath that carried to my father
The message of his dying christ.
You who bow down at cross and altar,
Remember me and pity Him
Who took my flesh and bone for armour
And doublecrossed my mother’s womb.
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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