Poem fractal
0.016 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.
0.0862 − 0.4632i
Drawing the boundary…
0.0794 − 0.4773i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
I cannot tell you how it was;
But this I know: it came to pass
Upon a bright and breezy day
When May was young; ah, pleasant May!
As yet the poppies were not born
Between the blades of tender corn;
The last eggs had not hatched as yet,
Nor any bird foregone its mate.
I cannot tell you what it was;
But this I know: it did but pass.
It passed away with sunny May,
With all sweet things it passed away,
And left me old, and cold, and gray.
What is he buzzing in my ears?
"Now that I come to die,
Do I view the world as a vale of tears?"
Ah, reverend sir, not I!
What I viewed there once, what I view again
Where the physic bottles stand
On the table's edge,—is a suburb lane,
With a wall to my bedside hand.
That lane sloped, much as the bottles do,
From a house you could descry
O'er the garden-wall: is the curtain blue
Or green to a healthy eye?
To mine, it serves for the old June weather
Blue above lane and wall;
And that farthest bottle labelled "Ether"
Is the house o'er-topping all.
At a terrace, somewhere near the stopper,
There watched for me, one June,
A girl: I know, sir, it's improper,
My poor mind's out of tune.
Only, there was a way…you crept
Close by the side, to dodge
Eyes in the house, two eyes except:
They styled their house "The Lodge."
What right had a lounger up their lane?
But, by creeping very close,
With the good wall's help,—their eyes might strain
And stretch themselves to Oes,
Yet never catch her and me together,
As she left the attic, there,
By the rim of the bottle labelled "Ether,"
And stole from stair to stair
And stood by the rose-wreathed gate. Alas,
We loved, sir—used to meet;
How sad and bad and mad it was—
But then, how it was sweet!
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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