Poem fractal
0.032 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.
0.1681 + 0.2679i
Drawing the boundary…
by Dylan Thomas
0.1665 + 0.2996i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Life? 'Tis the story of love and of troubles,
Of troubles and love, that travel together
The round world through. Behold the bubbles
Of love! Then troubles and turbulent weather.
Why, man had all Eden! Then love, then Cain!
Go away, go away with your bitter-sweet pain
Of love, and leave us! Come! care not a pin,
Until peace goes out, and till love comes in.
by Dylan Thomas
Do you not father me, nor the erected arm
For my tall tower’s sake cast in her stone?
Do you not mother me, nor, as I am,
The lovers’ house, lie suffering my stain?
Do you not sister me, nor the erected crime
For my tall turrets carry as your sin?
Do you not brother me, nor, as you climb,
Adore my windows for their summer scene?
Am I not father, too, and the ascending boy,
The boy of woman and the wanton starer
Marking the flesh and summer in the bay?
Am I not sister, too, who is my saviour?
Am I not all of you by the directed sea
Where bird and shell are babbling in my tower?
Am I not you who front the tidy shore,
Nor roof of sand, nor yet the towering tiler?
You are all these, said she who gave me the long suck,
All these, he said who sacked the children’s town,
Up rose the Abraham-man, mad for my sake,
They said, who hacked and humoured, they were mine.
I am, the tower told, felled by a timeless stroke,
Who razed my wooden folly stands aghast,
For man-begetters in the dry-as-paste,
The ringed-sea ghost, rise grimly from the wrack.
Do you not father me on the destroying sand?
You are your sisters’ sire, said seaweedy,
The salt sucked dam and darlings of the land
Who play the proper gentleman and lady.
Shall I still be love’s house on the widdershin earth,
Woe to the windy masons at my shelter?
Love’s house, they answer, and the tower death
Lie all unknowing of the grave sin-eater.
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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