Poem fractal
0.018 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…
by Dylan Thomas
−0.3980 − 0.1427i
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!
by Dylan Thomas
Out of the sighs a little comes,
But not of grief, for I have knocked down that
Before the agony; the spirit grows,
Forgets, and cries;
A little comes, is tasted and found good;
All could not disappoint;
There must, be praised, some certainty,
If not of loving well, then not,
And that is true after perpetual defeat.
After such fighting as the weakest know,
There’s more than dying;
Lose the great pains or stuff the wound,
He’ll ache too long
Through no regret of leaving woman waiting
For her soldier stained with spilt words
That spill such acrid blood.
Were that enough, enough to ease the pain,
Feeling regret when this is wasted
That made me happy in the sun,
How much was happy while it lasted,
Were vagueness enough and the sweet lies plenty,
The hollow words could bear all suffering
And cure me of ills.
Were that enough, bone, blood, and sinew,
The twisted brain, the fair-formed loin,
Groping for matter under the dog’s plate,
Man should be cured of distemper.
For all there is to give I offer:
Crumbs, barn, and halter.
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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