Poem fractal
0.019 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.
−0.3288 − 0.9344i
Drawing the boundary…
by Thomas Hardy
−0.3404 − 0.9499i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
You crash over the trees,
you crack the live branch—
the branch is white,
the green crushed,
each leaf is rent like split wood.
You burden the trees
with black drops,
you swirl and crash—
you have broken off a weighted leaf
in the wind,
it is hurled out,
whirls up and sinks,
a green stone.
by Thomas Hardy
Clouds spout upon her
Their waters amain
In ruthless disdain, —
Her who but lately
Had shivered with pain
As at touch of dishonour
If there had lit on her
So coldly, so straightly
Such arrows of rain:
One who to shelter
Her delicate head
Would quicken and quicken
Each tentative tread
If drops chanced to pelt her
That summertime spills
In dust-paven rills
When thunder-clouds thicken
And birds close their bills.
Would that I lay there
And she were housed here!
Or better, together
Were folded away there
Exposed to one weather
We both, — who would stray there
When sunny the day there,
Or evening was clear
At the prime of the year.
Soon will be growing
Green blades from her mound,
And daisies be showing
Like stars on the ground,
Till she form part of them —
Ay — the sweet heart of them,
Loved beyond measure
With a child's pleasure
All her life's round.
Jan. 31, 1913.
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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