Poem fractal
0.017 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 Richard
−0.2039 − 0.4924i
Drawing the boundary…
−0.1880 − 0.4858i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
by Richard
At Southwark, Nelson took command
Of six small ships that walked on land.
He studies fleets, but found that these
Were not disposed to take the seas.
His Freeman’s right excused the fee;
The sheep went through entirely free.
They found this ancient privilege
A sound excuse to cross a bridge.
I met Louisa in the shade;
And, having seen that lovely Maid,
Why should I fear to say
That, nymph-like, she is fleet and strong,
And down the rocks can leap along,
Like rivulets in May?
And she hath smiles to earth unknown;
Smiles, that with motion of their own
Do spread, and sink, and rise;
That come and go with endless play,
And ever, as they pass away,
Are hidden in her eyes.
She loves her fire, her Cottage-home;
Yet o'er the moorland will she roam
In weather rough and bleak;
And when against the wind she strains,
Oh! might I kiss the mountain rains
That sparkle on her cheek.
Take all that's mine 'beneath the moon',
If I with her but half a noon
May sit beneath the walls
Of some old cave, or mossy nook,
When up she winds along the brook,
To hunt the waterfalls.
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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