Poem fractal
0.030 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.
−0.4415 − 0.1310i
Drawing the boundary…
by Thomas Hardy
−0.4251 − 0.1567i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
With patterned mottlings of diagonal scales, his head
Rose up slowly out of the water-cress.
Sickened, I struck—and he lay writhing, dead.
And I knew less
Of why I struck than he, dying slowly, knew
Of why he had been smitten, by what thunder.
In a bewildered silence I still view
My deed with wonder….
by Thomas Hardy
As I drive to the junction of lane and highway,
And the drizzle bedrenches the waggonette,
I look behind at the fading byway,
And see on its slope, now glistening wet,
Distinctly yet
Myself and a girlish form benighted
In dry March weather. We climb the road
Beside a chaise. We had just alighted
To ease the sturdy pony’s load
When he sighed and slowed.
What we did as we climbed, and what we talked of
Matters not much, nor to what it led, –
Something that life will not be balked of
Without rude reason till hope is dead,
And feeling fled.
It filled but a minute. But was there ever
A time of such quality, since or before,
In that hill’s story? To one mind never,
Though it has been climbed, foot-swift, foot-sore,
By thousands more.
Primaeval rocks form the road’s steep border,
And much have they faced there, first and last,
Of the transitory in Earth’s long order;
But what they record in colour and cast
Is – that we two passed.
And to me, though Time’s unflinching rigour,
In mindless rote, has ruled from sight
The substance now, one phantom figure
Remains on the slope, as when that night
Saw us alight.
I look and see it there, shrinking, shrinking,
I look back at it amid the rain
For the very last time; for my sand is sinking,
And I shall traverse old love’s domain
Never again.
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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