Poem fractal
0.020 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.
−0.5520 − 0.1959i
Drawing the boundary…
−0.5527 − 0.1755i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Wilt thou forget the happy hours
Which we buried in Love’s sweet bowers,
Heaping over their corpses cold
Blossoms and leaves, instead of mould?
Blossoms which were the joys that fell,
And leaves, the hopes that yet remain.
Forget the dead, the past? Oh, yet
There are ghosts that may take revenge for it,
Memories that make the heart a tomb,
Regrets which glide through the spirit’s gloom,
And with ghastly whispers tell
That joy, once lost, is pain.
Twitched strings, the clang of metal, beaten drums,
Dull, shrill, continuous, disquieting;
And now the stealthy dancer comes
Undulantly with cat-like steps that cling;
Smiling between her painted lids a smile,
Motionless, unintelligible, she twines
Her fingers into mazy lines,
The scarves across her fingers twine the while.
One, two, three, four glide forth, and, to and fro,
Delicately and imperceptibly,
Now swaying gently in a row,
Now interthreading slow and rhythmically,
Still, with fixed eyes, monotonously still,
Mysteriously, with smiles inanimate,
With lingering feet that undulate,
With sinuous fingers, spectral hands that thrill
In measure while the gnats of music whirr,
The little amber-coloured dancers move,
Like painted idols seen to stir
By the idolaters in a magic grove.
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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