Poem fractal
0.021 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.
−0.2387 − 0.3739i
Drawing the boundary…
−0.2413 − 0.3947i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Dark is the forest and deep, and overhead
Hang stars like seeds of light
In vain, though not since they were sown was bred
Anything more bright.
And evermore mighty multitudes ride
About, nor enter in;
Of the other multitudes that dwell inside
Never yet was one seen.
The forest foxglove is purple, the marguerite
Outside is gold and white,
Nor can those that pluck either blossom greet
The others, day or night.
O little feet! that such long years
Must wander on through hopes and fears,
Must ache and bleed beneath your load;
I, nearer to the wayside inn
Where toil shall cease and rest begin,
Am weary, thinking of your road!
O little hands! that, weak or strong,
Have still to serve or rule so long,
Have still so long to give or ask;
I, who so much with book and pen
Have toiled among my fellow-men,
Am weary, thinking of your task.
O little hearts! that throb and beat
With such impatient, feverish heat,
Such limitless and strong desires;
Mine that so long has glowed and burned,
With passions into ashes turned
Now covers and conceals its fires.
O little souls! as pure and white
And crystalline as rays of light
Direct from heaven, their source divine;
Refracted through the mist of years,
How red my setting sun appears,
How lurid looks this soul of mine!
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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