Poem fractal
0.074 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 Hart Crane
−0.7870 + 0.0567i
Drawing the boundary…
−0.7625 − 0.0132i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
by Hart Crane
Time cannot be worn strapped to the supple wrist
Like any buckled jewel or bangle; no,
Lady, though fingers that attach it twist
The oyster from its shell, may guide the bow
Across cool strings that lift a lasting claim
Upon Eternity. No, Lady,
A tiny seed of little worth,
Brought by the strong west wind
From distant parts, fell to the earth
Where grew none of its kind.
A thousand years with fleeting tread
Swept o'er the fair green earth —
Where is the seed? Forgotten? Dead?
Who says 'twas little worth?
A forest, grand, majestic, stands
Where that small seed was tost,
For in Time's wide, gigantic hands,
No single thing is lost.
No human life ere dawned on earth
But left its impress here
For weal or woe. Still lives its worth
In hearts that held it dear.
A thought which trembling lips impart;
A song, perchance a rhyme,
May thrill the world's great, pulsing heart
Throughout all future time.
Though none may know whence came the thought,
Or what the singer's name,
Still, since a grand result is wrought,
That life was not in vain.
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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