Poem fractal
0.018 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.
0.0861 − 0.2328i
Drawing the boundary…
by John Donne
0.0761 − 0.2182i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
I have wandered to a spring in the forest green and dim,
The sweet quiet stirs about me—
The water twinkles at me,
As I stoop to dip my cup,
As I stoop to drink—to him.
True, I’m only half in earnest—I touch the cool, wet brim—
He’d laugh if he could see me—
I’m glad he doesn’t see me,
As alone with my queer gladness,
I stoop to drink—to him.
by John Donne
I never stoop'd so low, as they
Which on an eye, cheeke, lip, can prey,
Seldome to them, which soare no higher
Then vertue or the minde to admire,
For sense, and understanding may
Know, what gives fuell to their fire:
My love, though silly, is more brave,
For may I misse, when ere I crave,
If I know yet, what I would have.
If that be simply perfectest
Which can by no way be exprest
But Negatives , my love is so.
To All, which all love, I say no.
If any who deciphers best,
What we know not, our selves, can know,
Let him teach mee that nothing; This
As yet my ease, and comfort is,
Though I speed not, I cannot misse.
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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