Poem fractal
0.032 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.
−0.5278 − 0.5410i
Drawing the boundary…
−0.5001 − 0.5569i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
The dew-drop is a trivial thing,
Yet it lends freshness to the rose,
When diamonds, from the sun would fling,
New withering on her wan repose.
With pride of their own lustre fired,
The unloving gems burn on in vain;
The humble dew-drop, love inspired,
Can wake the flower to life again.
Judge not a gift from outward show,
Nor test it by its actual worth;
These are its body, far below,
Its soul, is that which gives it birth.
Come live with me and be my love,
And we will all the pleasures prove,
That Valleys, groves, hills, and fields,
Woods, or steepy mountain yields.
And we will sit upon the Rocks,
Seeing the Shepherds feed their flocks,
By shallow Rivers to whose falls
Melodious birds sing Madrigals.
And I will make thee beds of Roses
And a thousand fragrant posies,
A cap of flowers, and a kirtle
Embroidered all with leaves of Myrtle;
A gown made of the finest wool
Which from our pretty Lambs we pull;
Fair lined slippers for the cold,
With buckles of the purest gold;
A belt of straw and Ivy buds,
With Coral clasps and Amber studs:
And if these pleasures may thee move,
Come live with me, and be my love.
The Shepherds’ Swains shall dance and sing
For thy delight each May-morning:
If these delights thy mind may move,
Then live with me, and be my love.
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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