Poem fractal
0.058 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 Walt Whitman
−0.0394 + 1.0690i
Drawing the boundary…
0.0111 + 1.0975i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
by Walt Whitman
Earth, my likeness,
Though you look so impassive, ample and spheric there,
I now suspect that is not all;
I now suspect there is something fierce in you eligible to burst forth,
For an athlete is enamour'd of me, and I of him,
But toward him there is something fierce and terrible in me eligible to burst forth,
I dare not tell it in words, not even in these songs.
I had a heart that doted once in passion's boundless pain,
And though the tyrant I abjured, I could not break his chain;
But now that Fancy's fire is quench'd, and ne'er can burn anew,
I've bid to Love, for all my life, adieu! adieu! adieu!
I've known, if ever mortal knew, the spells of Beauty's thrall,
And if my song has told them not, my soul has felt them all;
But Passion robs my peace no more, and Beauty's witching sway
Is now to me a star that's fall'n—a dream that's pass'd away.
Hail! welcome tide of life, when no tumultuous billows roll,
How wondrous to myself appears this halcyon calm of soul!
The wearied bird blown o'er the deep would sooner quit its shore,
Than I would cross the gulf again that time has brought me o'er.
Why say they Angels feel the flame?— O spirits of the skies!
Can love like ours, that dotes on dust, in heavenly bosoms rise?—
Ah no! the hearts that best have felt its power, the best can tell,
That peace on earth itself begins, when Love has bid farewell.
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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