Poem fractal
0.022 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.
0.4636 − 0.6232i
Drawing the boundary…
0.4783 − 0.6398i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
We pledged our hearts, my love and I—
I in my arms the maiden clasping;
I could not guess the reason why,
But, oh! I trembled like an aspen.
Her father’s love she bade me gain;
I went, but shook like any reed!
I strove to act the man—in vain!
We had exchanged our hearts indeed.
“Thin Rain, whom are you haunting,
That you haunt my door?”
—Surely it is not I she’s wanting;
Someone living here before—
“Nobody’s in the house but me:
You may come in if you like and see.”
Thin as thread, with exquisite fingers,—
Have you seen her, any of you?—
Grey shawl, and leaning on the wind,
And the garden showing through?
Glimmering eyes,—and silent, mostly,
Sort of a whisper, sort of a purr,
Asking something, asking it over,
If you get a sound from her.—
Ever see her, any of you?—
Strangest thing I’ve ever known,—
Every night since I moved in,
And I came to be alone.
“Thin Rain, hush with your knocking!
You may not come in!
This is I that you hear rocking;
Nobody’s with me, nor has been!”
Curious, how she tried the window,—
Odd, the way she tries the door,—
Wonder just what sort of people
Could have had this house before..
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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