Pearce did dance with Petronella
Pearce did dance with Petronella
Pretty almains that were new,
Such he danc'd and nothing true.
But when Petronella danc'd without him,
All the maids began to flout him.
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.
−0.6173 − 0.5494i
Drawing the boundary…
−0.6164 − 0.5266i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Pearce did dance with Petronella
Pretty almains that were new,
Such he danc'd and nothing true.
But when Petronella danc'd without him,
All the maids began to flout him.
When the glare of day is past,
And dim twilight comes at last,
O! how sweet with thee to stray,
On the banks of Tay
There we hear lone Philomel
Wake her tuneful powers,
'Tis of love her warblings tell,
Love not blest as ours.
Still, we love her tones of woe,
More than strains that livelier flow,
Hearts where real passion sighs,
All that's plaintive prize.
Never on true lover's brow,
Smiles mirth's heartless madness,
Hearts enamour'd deeply know,
What's the charm of sadness.
Yes my love, such hearts as ours,
Joy not in the laughing bowers,
Where proud tapers gild the night,
And gay crowds invite—
But at twilight's last, faint gleam
Scorning glittering folly,
We enjoy on Tay's lone stream
Love, and Melancholy—
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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