Poem fractal
0.033 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.
−0.3895 − 0.1263i
Drawing the boundary…
−0.3609 − 0.1425i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
At morn—at noon—at twilight dim—
Maria! thou hast heard my hymn!
In joy and wo—in good and ill—
Mother of God, be with me still!
When the Hours flew brightly by,
And not a cloud obscured the sky,
My soul, lest it should truant be,
Thy grace did guide to thine and thee
Now, when storms of Fate o'ercast
Darkly my Present and my Past,
Let my future radiant shine
With sweet hopes of thee and thine!
'Tis Spring, the fresh green glints in the brook,
The primrose laughs from its shady nook,
Winter away like a ghost has fled, —
Let it be Spring, then — my love is dead!
The Summer is come with burning light;
The swallow wheels and dips in his flight;
The Spring away like a ghost has fled, —
Let it be Summer, my love is dead!
Autumn is come, with its gold-tressed trees.
Far through the wood sighs the dirge-like breeze;
Summer away like a ghost has fled, —
Let it be Autumn, my love is dead!
The Winter is come, with white, wan cheek,
The bare boughs toss, and the wild winds shriek;
Autumn away like a ghost has fled, —
Let it be Winter, my love is dead!
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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