Poem fractal
0.025 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.
−0.5013 + 0.4187i
Drawing the boundary…
−0.5208 + 0.4031i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
The fire is out, and spent the warmth thereof
(This is the end of every song man sings!)
The golden wine is drunk, the dregs remain,
Bitter as wormwood and as salt as pain;
And health and hope have gone the way of love
Into the drear oblivion of lost things.
Ghosts go along with us until the end;
This was a mistress, this, perhaps, a friend.
With pale, indifferent eyes, we sit and wait
For the dropt curtain and the closing gate:
This is the end of all the songs man sings.
Of the old house, only a few crumbled
Courses of brick, smothered in nettle and dock,
Or a squared stone, lying mossy where it tumbled!
Sprawling bramble and saucy thistle mock
What once was firelit floor and private charm
Where, seen in a windowed picture, hills were fading
At dusk, and all was memory-coloured and warm,
And voices talked, secure from the wind's invading.
Of the old garden, only a stray shining
Of daffodil flames amid April's cuckoo-flowers,
Or a cluster of aconite mixt with weeds entwining!
But, dark and lofty, a royal cedar towers
By homely thorns: whether the white rain drifts
Or sun scorches, he holds the downs in ken,
The western vale; his branchy tiers he lifts,
Older than many a generation of men.
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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