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.
−0.3245 + 0.4212i
Drawing the boundary…
by Emily Brontë
−0.3468 + 0.4278i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
To Portsmouth! To Portsmouth! It is a gallant town:
And there we will have a quart of wine with a nutmeg brown,
Diddle down!
The gallant ship, the Mermaid, the Lion, hanging stout,
Did make us to spend there our sixteen pence all out.
Diddle down!
by Emily Brontë
Silent is the house: all are laid asleep:
One alone looks out o’er the snow-wreaths deep,
Watching every cloud, dreading every breeze
That whirls the wildering drift, and bends the groaning trees.
Cheerful is the hearth, soft the matted floor;
Not one shivering gust creeps through pane or door;
The little lamp burns straight, its rays shoot strong and far:
I trim it well, to be the wanderer’s guiding-star.
Frown, my haughty sire! chide, my angry dame!
Set your slaves to spy; threaten me with shame:
But neither sire nor dame nor prying serf shall know,
What angel nightly tracks that waste of frozen snow.
What I love shall come like visitant of air,
Safe in secret power from lurking human snare;
What loves me, no word of mine shall e’er betray,
Though for faith unstained my life must forfeit pay.
Burn, then, little lamp; glimmer straight and clear—
Hush! a rustling wing stirs, methinks, the air:
He for whom I wait, thus ever comes to me;
Strange Power! I trust thy might; trust thou my constancy.
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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