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.
−0.0263 − 0.6169i
Drawing the boundary…
−0.0496 − 0.6146i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Music, when soft voices die,
Vibrates in the memory;
Odours, when sweet violets sicken,
Live within the sense they quicken.
Rose leaves, when the rose is dead,
Are heap'd for the belovèd's bed;
And so thy thoughts, when thou art gone,
Love itself shall slumber on.
My love is of a birth as rare
As ’tis for object strange and high;
It was begotten by Despair
Upon Impossibility.
Magnanimous Despair alone
Could show me so divine a thing
Where feeble Hope could ne’er have flown,
But vainly flapp’d its tinsel wing.
And yet I quickly might arrive
Where my extended soul is fixt,
But Fate does iron wedges drive,
And always crowds itself betwixt.
For Fate with jealous eye does see
Two perfect loves, nor lets them close;
Their union would her ruin be,
And her tyrannic pow’r depose.
And therefore her decrees of steel
Us as the distant poles have plac’d,
(Though love’s whole world on us doth wheel)
Not by themselves to be embrac’d;
Unless the giddy heaven fall,
And earth some new convulsion tear;
And, us to join, the world should all
Be cramp’d into a planisphere.
As lines, so loves oblique may well
Themselves in every angle greet;
But ours so truly parallel,
Though infinite, can never meet.
Therefore the love which us doth bind,
But Fate so enviously debars,
Is the conjunction of the mind,
And opposition of the stars.
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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