Poem fractal
0.020 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.
0.1406 − 0.2031i
Drawing the boundary…
0.1233 − 0.1936i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
O happy tree;
Green and fragrant tree;
Spring with budding jewels deckt it like a Bride!
All so fair it bloomed,
And the summer air perfumed;
Golden autumn fruitage smiled in crowns of pride.
O human tree;
Waesome wailing tree;
In the winter wind how it rocks! how it grieves!
On a little low grave-mound,
All its bravery lies discrowned:
O'er its fallen fruit it heaps the withered leaves.
I, my dear, was born to-day—
So all my jolly comrades say:
They bring me music, wreaths, and mirth,
And ask to celebrate my birth:
Little, alas! my comrades know
That I was born to pain and woe;
To thy denial, to thy scorn,
Better I had ne'er been born:
I wish to die, even whilst I say—
'I, my dear, was born to-day.'
I, my dear, was born to-day:
Shall I salute the rising ray,
Well-spring of all my joy and woe?
Clotilda, thou alone dost know.
Shall the wreath surround my hair?
Or shall the music please my ear?
Shall I my comrades' mirth receive,
And bless my birth, and wish to live?
Then let me see great Venus chase
Imperious anger from thy face;
Then let me hear thee smiling say—
'Thou, my dear, wert born to-day.'
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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