Poem fractal
0.031 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.
−0.4816 + 0.5230i
Drawing the boundary…
by David Gray
−0.5051 + 0.5426i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Angels are bright still, though the brightest fell.
But tell me, tell me, how do you know
he lost any of his brightness in the falling?
In the dark-blue depths, under layers and layers of darkness
I see him more like the ruby, a gleam from within
of his own magnificence
coming like the ruby in the invisible dark, glowing
with his own annunciation, towards us.
by David Gray
With what a calm serenity she smooths
Her way thro' cloudless jasper sown with stars!
Chaster than virtue, sweeter than the truths
Of maidenhood, in Spenser's knightly wars.
For what is all Belphœbe's golden hair,
The chastity of Britomart, the love
Of Florimel so faithful and so fair,
To thee, thou Wonder! And yet far above
Thy inoffensive beauty must I hold
Dear Una, sighing for the Red-cross Knight
Thro' all her losses, crosses manifold.
And when the lordly lion fell in fight,
Who, who can paragon her tearful woe?
Not thou, not thou, O Moon! didst ever passion so.
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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