Poem fractal
0.034 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.
−0.4720 + 0.2160i
Drawing the boundary…
by Dylan Thomas
−0.4385 + 0.2195i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
The butterfly the ancient Grecians made
The soul’s fair emblem, and its only name—
But of the soul, escaped the slavish trade
Of mortal life!—For in this earthly frame
Ours is the reptile’s lot, much toil, much blame,
Manifold motions making little speed,
And to deform and kill the things whereon we feed.
by Dylan Thomas
When I woke, the town spoke.
Birds and clocks and cross bells
Dinned aside the coiling crowd,
The reptile profligates in a flame,
Spoilers and pokers of sleep,
The next-door sea dispelled
Frogs and satans and woman-luck,
While a man outside with a billhook,
Up to his head in his blood,
Cutting the morning off,
The warm-veined double of Time
And his scarving beard from a book,
Slashed down the last snake as though
It were a wand or subtle bough,
Its tongue peeled in the wrap of a leaf.
Every morning I make,
God in bed, good and bad,
After a water-face walk,
The death-stagged scatter-breath
Mammoth and sparrowfall
Everybody’s earth.
Where birds ride like leaves and boats like ducks
I heard, this morning, waking,
Crossly out of the town noises
A voice in the erected air,
No prophet-progeny of mine,
Cry my sea town was breaking.
No Time, spoke the clocks, no God, rang the bells,
I drew the white sheet over the islands
And the coins on my eyelids sang like shells.
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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