Poem fractal
0.029 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.
−0.2138 − 0.4171i
Drawing the boundary…
−0.1855 − 0.4221i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Now thou art gone, tho’ not gone far,
It seems that there are worlds between us;
Shine here again, thou wandering star!
Earth’s planet! and return with Venus.
At times thou broughtest me thy light
When restless sleep had gone away;
At other times more blessed night
Stole over, and prolonged thy stay.
I broke the spell that held me long,
The dear, dear witchery of song.
I said, the poet's idle lore
Shall waste my prime of years no more,
For Poetry, though heavenly born,
Consorts with poverty and scorn.
I broke the spell-nor deemed its power
Could fetter me another hour.
Ah, thoughtless! how could I forget
Its causes were around me yet?
For wheresoe'er I looked, the while,
Was nature's everlasting smile.
Still came and lingered on my sight
Of flowers and streams the bloom and light,
And glory of the stars and sun;—
And these and poetry are one.
They, ere the world had held me long,
Recalled me to the love of song.
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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