Poem fractal
0.010 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.
−0.0298 − 0.6576i
Drawing the boundary…
−0.0381 − 0.6629i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
By a lake below the mountain
Hangs the birch, as if, in glee,
The lake had flung the moon a fountain,
She had turned it to a tree.
Therefore do her dull leaves glimmer
Like the waves that mothered them.
Therefore flits a moony shimmer
Always round her curvèd stem.
As a pale phantom with a lamp
Ascends some ruin's haunted stair,
So glides the moon along the damp
Mysterious chambers of the air.
Now hidden in cloud, and now revealed,
As if this phantom, full of pain,
Were by the crumbling walls concealed,
And at the windows seen again.
Until at last, serene and proud
In all the splendor of her light,
She walks the terraces of cloud,
Supreme as Empress of the Night.
I look, but recognize no more
Objects familiar to my view;
The very pathway to my door
Is an enchanted avenue.
All things are changed. One mass of shade,
The elm-trees drop their curtains down;
By palace, park, and colonnade
I walk as in a foreign town.
The very ground beneath my feet
Is clothed with a diviner air;
White marble paves the silent street
And glimmers in the empty square.
Illusion! Underneath there lies
The common life of every day;
Only the spirit glorifies
With its own tints the sober gray.
In vain we look, in vain uplift
Our eyes to heaven, if we are blind,
We see but what we have the gift
Of seeing; what we bring we find.
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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