Poem fractal
0.023 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.
by A. A. Milne
−0.4928 − 0.0240i
Drawing the boundary…
−0.4803 − 0.0436i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
by A. A. Milne
Christopher, Christopher, where are you going, Christopher Robin?
"Just up to the top of the hill,
Upping and upping until
I am right on the top of the hill,"
Said Christopher Robin.
Christopher, Christopher, why are you going, Christopher Robin?
There's nothing to see, so when
You've got to the top, what then?
"Just down to the bottom again,"
Said Christopher Robin.
Apple-green west and an orange bar,
And the crystal eye of a lone, one star…
And, "Child, take the shears and cut what you will.
Frost to-night—so clear and dead-still."
Then, I sally forth, half sad, half proud,
And I come to the velvet, imperial crowd,
The wine-red, the gold, the crimson, the pied,—
The dahlias that reign by the garden-side.
The dahlias I might not touch till to-night!
A gleam of the shears in the fading light,
And I gathered them all, — the splendid throng,
And in one great sheaf I bore them along.
In my garden of Life with its all-late flowers,
I heed a Voice in the shrinking hours:
"Frost to-night — so clear and dead-still…"
Half sad, half proud, my arms I fill.
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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