Poem fractal
0.046 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.
−0.4617 + 0.5312i
Drawing the boundary…
−0.4750 + 0.5749i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Although crowds gathered once if she but showed her face,
And even old men's eyes grew dim, this hand alone,
Like some last courtier at a gypsy camping place,
Babbling of fallen majesty, records what's gone.
The lineaments, a heart that laughter has made sweet,
These, these remain, but I record what's gone. A crowd
Will gather, and not know it walks the very street
Whereon a thing once walked that seemed a burning cloud.
Once upon Iceland's solitary strand
A poet wandered with his book and pen,
Seeking some final word, some sweet Amen,
Wherewith to close the volume in his hand.
The billows rolled and plunged upon the sand,
The circling sea-gulls swept beyond his ken,
And from the parting cloud-rack now and then
Flashed the red sunset over sea and land.
Then by the billows at his feet was tossed
A broken oar; and carved thereon he read,
"Oft was I weary, when I toiled at thee";
And like a man, who findeth what was lost,
He wrote the words, then lifted up his head,
And flung his useless pen into the sea.
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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