Poem fractal
0.043 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.
0.1532 − 0.0983i
Drawing the boundary…
by John Keats
0.1798 − 0.0644i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
If I went past you down this hill
And you had never seen my face before,
Would all your being feel the sudden thrill
You said it felt, once more?
If I went past you through this shaw,
Would be all a-quiver at the brush
Of my trailed garments; would the sudden hush
You said the black-birds' voices had in awe
Of my first coming, fall upon the place
Once more, if you had never seen my face
Nor ever heard my passing by before,
And nought had passed of all that was of yore?
by John Keats
Bards of Passion and of Mirth,
Ye have left your souls on earth!
Have ye souls in heaven too,
Double-lived in regions new?
Yes, and those of heaven commune
With the spheres of sun and moon;
With the noise of fountains wond'rous,
And the parle of voices thund'rous;
With the whisper of heaven's trees
And one another, in soft ease
Seated on Elysian lawns
Brows'd by none but Dian's fawns
Underneath large blue-bells tented,
Where the daisies are rose-scented,
And the rose herself has got
Perfume which on earth is not;
Where the nightingale doth sing
Not a senseless, tranced thing,
But divine melodious truth;
Philosophic numbers smooth;
Tales and golden histories
Of heaven and its mysteries.
Thus ye live on high, and then
On the earth ye live again;
And the souls ye left behind you
Teach us, here, the way to find you,
Where your other souls are joying,
Never slumber'd, never cloying.
Here, your earth-born souls still speak
To mortals, of their little week;
Of their sorrows and delights;
Of their passions and their spites;
Of their glory and their shame;
What doth strengthen and what maim.
Thus ye teach us, every day,
Wisdom, though fled far away.
Bards of Passion and of Mirth,
Ye have left your souls on earth!
Ye have souls in heaven too,
Double-lived in regions new!
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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