Poem fractal
0.020 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.
0.2083 − 0.0016i
Drawing the boundary…
by A. A. Milne
0.1933 + 0.0113i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
You strange old ghouls,
Who gloat with dulled old eyes,
Over those lists,
Those dreadful lists,
To see what name
Of friend of relation,
However distant,
May be appended
To your private Roll of Honour.
Unknowingly you draw, it seems,
From their young bodies,
Dead young bodies,
Fresh life,
New value,
Now that yours are ebbing.
You strange old ghouls,
Who gloat with dulled old eyes,
Over those lists,
Those dreadful lists,
Of young men dead.
by A. A. Milne
There's sun on the river and sun on the hill….
You can hear the sea if you stand quite still!
There's eight new puppies at Roundabout Farm —
And I saw an old sailor with only one arm!
But every one says, "Run along!"
(Run along, run along!)
All of them say "Run along! I'm busy as can be."
Every one says, "Run along,
There's a little darling!"
If I'm a little darling, why don't they run with me?
There's wind on the river and wind on the hill….
There's a dark dead water-wheel under the mill!
I saw a fly which had just been drowned —
And I know where a rabbit goes into the ground!
But every one says, "Run along!"
(Run along, run along!)
All of them say "Yes, dear," and never notice me.
Every one says, "Run along,
There's a little darling!"
If I'm a little darling, why won't they come and see?
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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