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.
0.0883 − 0.5850i
Drawing the boundary…
by Robert Burns
0.0714 − 0.5838i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
When along the pavement,
Palpitating flames of life,
People flicker round me,
I forget my bereavement,
The gap in my life's constellation,
The place where a star used to be.
Nay, though the pole-star
Is blown out like a candle,
And all the heavens are wandering in disarray,
Yet when pleiads of people are
Deployed around me, and I see
The street's long, outstretched milky-way!
When people flicker down the pavement
I forget my bereavement.
by Robert Burns
It was upon a Lammas night,
When corn rigs are bonnie,
Beneath the moon's unclouded light,
I held awa to Annie:
The time flew by wi' tentless heed,
'Till 'tween the late and early,
Wi' sma' persuasion she agreed,
To see me through the barley.
The sky was blue, the wind was still,
The moon was shining clearly;
I set her down wi' right good will,
Amang the rigs o' barley:
I ken't her heart was a' my ain;
I lov'd her most sincerely;
I kiss'd her owre and owre again,
Amang the rigs o' barley.
I lock'd her in my fond embrace!
Her heart was beating rarely:
My blessings on that happy place.
Amang the rigs o' barley!
But by the moon and stars so bright.
That shone that hour so clearly?
She ay shall bless that happy night,
Amang the rigs o' barley!
I hae been blithe wi' comrades dear;
I hae been merry drinkin';
I hae been joyfu' gath'rin' gear;
I hae been happy thinkin':
But a' the pleasures e'er I saw,
Tho' three times doubled fairly,
That happy night was worth them a',
Amang the rigs o' barley.
CHORUS.
Corn rigs, an' barley rigs,
An' corn rigs are bonnie:
I'll ne'er forget that happy night,
Amang the rigs wi' Annie.
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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