Swing Song
by A. A. Milne
Here I go up in my swing
Ever so high.
I am the King of the fields, and the King
Of the town.
I am the King of the earth, and the King
Of the sky.
Here I go up in my swing....
Now I go down.
Poem fractal
0.006 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
−0.0753 − 0.5175i
Drawing the boundary…
−0.0770 − 0.5120i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
by A. A. Milne
Here I go up in my swing
Ever so high.
I am the King of the fields, and the King
Of the town.
I am the King of the earth, and the King
Of the sky.
Here I go up in my swing....
Now I go down.
Above yon sombre swell of land
Thou see'st the dawn's grave orange hue,
With one pale streak like yellow sand,
And over that a vein of blue.
The air is cold above the woods;
All silent is the earth and sky,
Except with his own lonely moods
The blackbird holds a colloquy.
Over the broad hill creeps a beam,
Like hope that gilds a good man's brow;
And now ascends the nostril-stream
Of stalwart horses come to plough.
Ye rigid Ploughmen, bear in mind
Your labour is for future hours:
Advance—spare not—nor look behind—
Plough deep and straight with all your powers!
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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