Poem fractal
0.022 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 William Stanley Braithwaite
−0.1165 − 0.9099i
Drawing the boundary…
−0.1368 − 0.9002i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
by William Stanley Braithwaite
Heart free, hand free,
Blue above, brown under,
All the world to me
Is a place of wonder.
Sun shine, moon shine,
Stars, and winds a-blowing,
All into this heart of mine
Flowing, flowing, flowing!
Mind free, step free,
Days to follow after,
Joys of life sold to me
For the price of laughter.
Girl's love, man's love,
Love of work and duty,
Just a will of God's to prove
Beauty, beauty, beauty!
O sweet illusions of Song,
That tempt me everywhere,
In the lonely fields, and the throng
Of the crowded thoroughfare!
I approach, and ye vanish away,
I grasp you, and ye are gone;
But ever by night and by day,
The melody soundeth on.
As the weary traveller sees
In desert or prairie vast,
Blue lakes, overhung with trees,
That a pleasant shadow cast;
Fair towns with turrets high,
And shining roofs of gold,
That vanish as he draws nigh,
Like mists together rolled, -
So I wander and wander along,
And forever before me gleams
The shining city of song,
In the beautiful land of dreams.
But when I would enter the gate
Of that golden atmosphere,
It is gone, and I wander and wait
For the vision to reappear.
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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