Poem fractal
0.042 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 John Donne
0.3586 + 0.0851i
Drawing the boundary…
0.3435 + 0.1239i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
by John Donne
No man is an island,
Entire of itself;
Every man is a piece of the continent,
A part of the main.
If a clod be washed away by the sea,
Europe is the less,
As well as if a promontory were:
As well as if a manor of thy friend’s
Or of thine own were.
Any man’s death diminishes me,
Because I am involved in mankind.
And therefore never send to know for whom the bell tolls;
It tolls for thee.
Quand le ciel bas et lourd pèse comme un couvercle
Sur l'esprit gémissant en proie aux longs ennuis,
Et que de l'horizon embrassant tout le cercle
II nous verse un jour noir plus triste que les nuits;
Quand la terre est changée en un cachot humide,
Où l'Espérance, comme une chauve-souris,
S'en va battant les murs de son aile timide
Et se cognant la tête à des plafonds pourris;
Quand la pluie étalant ses immenses traînées
D'une vaste prison imite les barreaux,
Et qu'un peuple muet d'infâmes araignées
Vient tendre ses filets au fond de nos cerveaux,
Des cloches tout à coup sautent avec furie
Et lancent vers le ciel un affreux hurlement,
Ainsi que des esprits errants et sans patrie
Qui se mettent à geindre opiniâtrement.
— Et de longs corbillards, sans tambours ni musique,
Défilent lentement dans mon âme; l'Espoir,
Vaincu, pleure, et l'Angoisse atroce, despotique,
Sur mon crâne incliné plante son drapeau noir.
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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