Poem fractal
0.011 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.
−0.6313 − 0.4613i
Drawing the boundary…
by Thomas Hood
−0.6427 − 0.4626i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
That which her slender waist confined,
Shall now my joyful temples bind:
No monarch but would give his crown,
His arms might do what this has done.
It was my heaven's extremest sphere,
The pale which held that lovely deer.
My joy, my grief, my hope, my love,
Did all within this circle move!
A narrow compass! and yet there
Dwelt all that's good, and all that's fair:
Give me but what this ribbon bound,
Take all the rest the sun goes round.
by Thomas Hood
She's up and gone, the graceless girl,
And robb'd my failing years!
My blood before was thin and cold
But now 'tis turn'd to tears;—
My shadow falls upon my grave,
So near the brink I stand,
She might have stay'd a little yet,
And led me by the hand!
Aye, call her on the barren moor,
And call her on the hill:
'Tis nothing but the heron's cry,
And plover's answer shrill;
My child is flown on wilder wings
Than they have ever spread,
And I may even walk a waste
That widen'd when she fled.
Full many a thankless child has been,
But never one like mine;
Her meat was served on plates of gold,
Her drink was rosy wine;
But now she'll share the robin's food,
And sup the common rill,
Before her feet will turn again
To meet her father's will!
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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