Poem fractal
0.039 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.
−0.7915 − 0.7157i
Drawing the boundary…
by Robert Burns
−0.8154 − 0.7469i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
"Hope" is the thing with feathers —
That perches in the soul —
And sings the tune without the words —
And never stops — at all —
And sweetest — in the Gale — is heard —
And sore must be the storm —
That could abash the little Bird
That kept so many warm —
I've heard it in the chillest land —
And on the strangest Sea —
Yet — never — in Extremity,
It asked a crumb — of me.
by Robert Burns
The man, in life wherever plac'd,
Hath happiness in store,
Who walks not in the wicked's way,
Nor learns their guilty lore!
Nor from the seat of scornful pride
Casts forth his eyes abroad,
But with humility and awe
Still walks before his GOD.
That man shall flourish like the trees
Which by the streamlets grow;
The fruitful top is spread on high,
And firm the root below.
But he whose blossom buds in guilt
Shall to the ground be cast,
And, like the rootless stubble, tost
Before the sweeping blast.
For why? that GOD the good adore
Hath giv'n them peace and rest,
But hath decreed that wicked men
Shall ne'er be truly blest.
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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