Poem fractal
0.007 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.
−0.0453 − 0.3801i
Drawing the boundary…
−0.0498 − 0.3850i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
To him the moon was a silver dollar, spun
Into the sky by some mysterious hand; the sun
Was a gleaming golden coin—
His to purloin;
The freshly minted stars were dimes of delight
Flung out upon the counter of the night.
In yonder room he lies,
With pennies on his eyes.
We cannot kindle when we will
The fire which in the heart resides;
The spirit bloweth and is still,
In mystery our soul abides.
But tasks in hours of insight willed
Can be through hours of gloom fulfilled.
With aching hands and bleeding feet
We dig and heap, lay stone on stone;
We bear the burden and the heat
Of the long day, and wish ’twere done.
Not till the hours of light return,
All we have built do we discern.
Then, when the clouds are off the soul,
When thou dost bask in Nature’s eye,
Ask how she viewed thy self-control,
Thy struggling, tasked morality,—
Nature, whose free, light, cheerful air,
Oft made thee, in thy gloom, despair.
And she, whose censure thou dost dread,
Whose eye thou wast afraid to seek,
See, on her face a glow is spread,
A strong emotion on her cheek!
“Ah, child!” she cries, “that strife divine,
Whence was it, for it is not mine?
“There is no effort on my brow;
I do not strive, I do not weep:
I rush with the swift spheres, and glow
In joy, and when I will, I sleep.
Yet that severe, that earnest air,
I saw, I felt it once—but where?
“I knew not yet the gauge of time,
Nor wore the manacles of space;
I felt it in some other clime,
I saw it in some other place.
’Twas when the heavenly house I trod,
And lay upon the breast of God.”
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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