Poem fractal
0.032 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.
−0.1769 − 0.0934i
Drawing the boundary…
−0.1639 − 0.0640i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
How dare the robins sing,
When men and women hear
Who since they went to their account
Have settled with the year! —
Paid all that life had earned
In one consummate bill,
And now, what life or death can do
Is immaterial.
Insulting is the sun
To him whose mortal light,
Beguiled of immortality,
Bequeaths him to the night.
In deference to him
Extinct be every hum,
Whose garden wrestles with the dew,
At daybreak overcome!
This is a spray the bird clung to,
Making it blossom with pleasure,
Ere the high tree-top she sprung to,
Fit for her nest and her treasure.
Oh, what a hope beyond measure
Was the poor spray's, which the flying feet hung to,—
So to be singled out, built in, and sung to!
This is a heart the Queen leant on,
Thrilled in a minute erratic,
Ere the true bosom she bent on,
Meet for love's regal dalmatic.
Oh, what a fancy ecstatic
Was the poor heart's, ere the wanderer went on—
Love to be saved for it, proffered to, spent on!
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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