Poem fractal
0.014 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.
0.1379 + 0.0495i
Drawing the boundary…
by John Donne
0.1447 + 0.0375i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
When I am dead, I know that thou wilt weep,
I that have never caused thee grief before,
I that have soothed thee, sung thy woes to sleep,
I shall have wrought thee sorrow wild and deep,
And made thy burden more.
When I am dead, I know thou wilt forget,
Thou that didst never yet forget thy friend.
"Grieve not!" I cry; "I would not have thee fret"—
"Remember! I would live within thee yet."
In vain, I know the end.
by John Donne
Some man unworthy to be possessor
Of old or new love, himselfe being false or weake,
Thought his paine and shame would be lesser,
If on womankind he might his anger wreake,
And thence a law did grow,
One might but one man know;
But are other creatures so?
Are Sunne, Moone, or Starres by law forbidden,
To smile where they list, or lend away their light?
Are birds divorc'd, or are they chidden
If they leave their mate, or lie abroad a night?
Beasts doe no joyntures lose
Though they new lovers choose,
But we are made worse then those.
Who e'r rigg'd faire ship to lie in harbors,
And not to seeke new lands, or not to deale withall?
Or built faire houses, set trees, and arbors,
Only to lock up, or else to let them fall?
Good is not good, unlesse
A thousand it possesse,
But doth wast with greedinesse.
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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