Poem fractal
0.015 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 A. A. Milne
0.0677 − 0.1631i
Drawing the boundary…
0.0803 − 0.1549i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
by A. A. Milne
Between the woods the afternoon
Is fallen in a golden swoon.
The sun looks down from quiet skies
To where a quiet water lies,
And silent trees stoop down to trees.
And there I saw a white swan make
Another white swan in the lake;
And, breast to breast, both motionless,
They waited for the wind's caress . . .
And all the water was at ease.
I.
Thou snowy farme with thy five tenements!
Tell thy white mistris here was one,
That call'd to pay his dayly rents;
But she a-gathering flowr's and hearts is gone,
And thou left voyd to rude possession.
II.
But grieve not, pretty Ermin cabinet,
Thy alabaster lady will come home;
If not, what tenant can there fit
The slender turnings of thy narrow roome,
But must ejected be by his owne dombe?
III.
Then give me leave to leave my rent with thee:
Five kisses, one unto a place:
For though the lute's too high for me,
Yet servants, knowing minikin nor base,
Are still allow'd to fiddle with the case.
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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