Poem fractal
0.034 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.
−0.2507 − 0.6630i
Drawing the boundary…
−0.2631 − 0.6945i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Dream of soft delight,
O'er my couch still hover,
On my raptur'd sight
Paint my long-lost lover.
Paint the moment near
Fancy holds so dear
When pangs of absence o'er
We meet to part no more,
Shade of Joys so vast,
O'er my couch still hover.
'Till these eyes at last,
View my real lover.
Pavement slipp’ry, people sneezing,
Lords in ermine, beggars freezing;
Titled gluttons dainties carving,
Genius in a garret starving.
Lofty mansions, warm and spacious;
Courtiers cringing and voracious;
Misers scarce the wretched heeding;
Gallant soldiers fighting, bleeding.
Wives who laugh at passive spouses;
Theatres, and meeting-houses;
Balls, where simp’ring misses languish;
Hospitals, and groans of anguish.
Arts and sciences bewailing;
Commerce drooping, credit failing;
Placemen mocking subjects loyal;
Separations, weddings royal.
Authors who can’t earn a dinner;
Many a subtle rogue a winner;
Fugitives for shelter seeking;
Misers hoarding, tradesmen breaking.
Taste and talents quite deserted;
All the laws of truth perverted;
Arrogance o’er merit soaring;
Merit silently deploring.
Ladies gambling night and morning;
Fools the works of genius scorning;
Ancient dames for girls mistaken,
Youthful damsels quite forsaken.
Some in luxury delighting;
More in talking than in fighting;
Lovers old, and beaux decrepid;
Lordlings empty and insipid.
Poets, painters, and musicians;
Lawyers, doctors, politicians:
Pamphlets, newspapers, and odes,
Seeking fame by diff’rent roads.
Gallant souls with empty purses;
Gen’rals only fit for nurses;
School-boys, smit with martial spirit,
Taking place of vet’ran merit.
Honest men who can’t get places,
Knaves who shew unblushing faces;
Ruin hasten’d, peace retarded;
Candor spurn’d, and art rewarded.
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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