Poem fractal
0.043 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 Thomas Hardy
0.1256 − 0.9558i
Drawing the boundary…
0.1582 − 0.9844i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
by Thomas Hardy
Here is the ancient floor,
Footworn and hollowed and thin,
Here was the former door
Where the dead feet walked in.
She sat here in her chair,
Smiling into the fire;
He who played stood there,
Bowing it higher and higher.
Childlike, I danced in a dream;
Blessings emblazoned that day;
Everything glowed with a gleam;
Yet we were looking away!
When I was but thirteen or so
I went into a golden land,
Chimborazo, Cotopaxi
Took me by the hand.
My father died, my brother too,
They passed like fleeting dreams.
I stood where Popocatapetl
In the sunlight gleams.
I dimly heard the Master's voice
And boys far-off at play,
Chimborazo, Cotopaxi
Had stolen me away.
I walked in a great golden dream
To and fro from school —
Shining Popocatapetl
The dusty streets did rule.
I walked home with a gold dark boy
And never a word I'd say,
Chimborazo, Cotopaxi
Had taken my speech away:
I gazed entranced upon his face
Fairer than any flower —
O shining Popocatapetl
It was thy magic hour:
The houses, people, traffic seemed
Thin fading dreams by day,
Chimborazo, Cotopaxi
They had stolen my soul away!
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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