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
0.014 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…
by Emily Brontë
−0.0617 − 0.5170i
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.
by Emily Brontë
A little while, a little while,
The weary task is put away,
And I can sing and I can smile,
Alike, while I have holiday.
Where wilt thou go, my harassed heart—
What thought, what scene invites thee now?
What spot, or near or far apart,
Has rest for thee, my weary brow?
There is a spot, 'mid barren hills,
Where winter howls, and driving rain;
But, if the dreary tempest chills,
There is a light that warms again.
The house is old, the trees are bare,
Moonless above bends twilight's dome;
But what on earth is half so dear—
So longed for—as the hearth of home?
The mute bird sitting on the stone,
The dank moss dripping from the wall,
The thorn-trees gaunt, the walks o'er-grown,
I love them—how I love them all!
Still, as I mused, the naked room,
The alien firelight died away;
And from the midst of cheerless gloom,
I passed to bright, unclouded day.
A little and a lone green lane
That opened on a common wide;
A distant, dreamy, dim blue chain
Of mountains circling every side.
A heaven so clear, an earth so calm,
So sweet, so soft, so hushed an air;
And, deepening still the dream-like charm,
Wild moor-sheep feeding everywhere.
That was the scene, I knew it well;
I knew the turfy pathway's sweep,
That, winding o'er each billowy swell,
Marked out the tracks of wandering sheep.
Could I have lingered but an hour,
It well had paid a week of toil;
But Truth has banished Fancy's power:
Restraint and heavy task recoil.
Even as I stood with raptured eye,
Absorbed in bliss so deep and dear,
My hour of rest had fleeted by,
And back came labour, bondage, care.
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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