Poem fractal
0.016 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.
by Robert Burns
−0.1182 − 0.0033i
Drawing the boundary…
by John Clare
−0.1125 − 0.0187i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
by Robert Burns
An honest man here lies at rest
As e'er God with his image blest!
The friend of man, the friend of truth;
The friend of age, and guide of youth;
Few hearts like his, with virtue warm'd,
Few heads with knowledge so inform'd:
If there's another world, he lives in bliss;
If there is none, he made the best of this.
by John Clare
I am—yet what I am none cares or knows;
My friends forsake me like a memory lost:
I am the self-consumer of my woes—
They rise and vanish in oblivious host,
Like shadows in love’s frenzied stifled throes
And yet I am, and live—like vapours tossed
Into the nothingness of scorn and noise,
Into the living sea of waking dreams,
Where there is neither sense of life or joys,
But the vast shipwreck of my life’s esteems;
Even the dearest that I loved the best
Are strange—nay, rather, stranger than the rest.
I long for scenes where man hath never trod
A place where woman never smiled or wept
There to abide with my Creator, God,
And sleep as I in childhood sweetly slept,
Untroubling and untroubled where I lie
The grass below—above the vaulted sky.
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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