Poem fractal
0.024 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.
0.2640 − 0.3884i
Drawing the boundary…
by Thomas Hardy
0.2831 − 0.3734i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
A million buds are born that never blow,
That sweet with promise lift a pretty head
To blush and wither on a barren bed
And leave no fruit to show.
Sweet, unfulfilled. Yet have I understood
One joy, by their fragility made plain:
Nothing was ever beautiful in vain,
Or all in vain was good.
by Thomas Hardy
Well, World, you have kept faith with me,
Kept faith with me;
Upon the whole you have proved to be
Much as you said you were.
Since as a child I used to lie
Upon the leaze and watch the sky,
Never, I own, expected I
That life would all be fair.
'Twas then you said, and since have said,
Times since have said,
In that mysterious voice you shed
From clouds and hills around:
"Many have loved me desperately,
Many with smooth serenity,
While some have shown contempt of me
Till they dropped underground.
"I do not promise overmuch,
Child; overmuch;
Just neutral-tinted haps and such,
You said to minds like mine.
Wise warning for your credit's sake!
Which I for one failed not to take,
And hence could stem such strain and ache
As each year might assign.
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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