Poem fractal
0.046 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 T. S. Eliot
−0.5012 + 0.0310i
Drawing the boundary…
−0.5327 + 0.0648i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
by T. S. Eliot
They are rattling breakfast plates in basement kitchens,
And along the trampled edges of the street
I am aware of the damp souls of housemaids
Sprouting despondently at area gates.
The brown waves of fog toss up to me
Twisted faces from the bottom of the street,
And tear from a passer-by with muddy skirts
An aimless smile that hovers in the air
And vanishes along the level of the roofs.
Whenever I go by there nowadays
And look at the rank weeds and the strange grass,
The torn blue curtains and the broken glass,
I seem to be afraid of the old place;
And something stiffens up and down my face,
For all the world as if I saw the ghost
Of old Ham Amory, the murdered host,
With his dead eyes turned on me all aglaze.
The Tavern has a story, but no man
Can tell us what it is. We only know
That once long after midnight, years ago,
A stranger galloped up from Tilbury Town,
Who brushed, and scared, and all but overran
That skirt-crazed reprobate, John Evereldown.
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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