Poem fractal
0.007 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.
−0.1782 + 0.2154i
Drawing the boundary…
−0.1851 + 0.2125i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
How much are they deceiv'd who vainly strive
By jealous fears to keep our flames alive!
Love's like a torch, which, if secur'd from blasts,
Will faintlier burn, but then it longer lasts
Expos'd to storms of jealousy and doubt,
The blaze grows greater, but 'tis sooner out.
When my mother died I was very young,
And my father sold me while yet my tongue
Could scarcely cry ‘Weep! weep! weep! weep!’
So your chimneys I sweep, and in soot I sleep.
There’s little Tom Dacre, who cried when his head,
That curled like a lamb’s back, was shaved; so I said,
‘Hush, Tom! never mind it, for, when your head’s bare,
You know that the soot cannot spoil your white hair.’
And so he was quiet, and that very night,
As Tom was a-sleeping, he had such a sight!—
That thousands of sweepers, Dick, Joe, Ned, and Jack,
Were all of them locked up in coffins of black.
And by came an angel, who had a bright key,
And he opened the coffins, and set them all free;
Then down a green plain, leaping, laughing, they run
And wash in a river, and shine in the sun.
Then naked and white, all their bags left behind,
They rise upon clouds, and sport in the wind:
And the angel told Tom, if he’d be a good boy,
He’d have God for his father, and never want joy.
And so Tom awoke, and we rose in the dark,
And got with our bags and our brushes to work.
Though the morning was cold, Tom was happy and warm:
So, if all do their duty, they need not fear harm.
From Songs of Innocence
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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