Poem fractal
0.020 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.
−0.4276 + 0.2970i
Drawing the boundary…
by John Donne
−0.4442 + 0.2861i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
There is tropical warmth and languorous life
Where the roses lie
In a tempting drift
Of pink and red and golden light
Untouched as yet by the pruning knife.
And the still, warm life of the roses fair
That whisper "Come,"
With promises
Of sweet caresses, close and pure
Has a thorny whiff in the perfumed air.
There are thorns and love in the roses' bed,
And Satan too
Must linger there;
So Satan's wiles and the conscience stings,
Must now abide — the roses are dead.
by John Donne
Busy old fool, unruly sun,
Why dost thou thus,
Through windows, and through curtains call on us?
Must to thy motions lovers' seasons run?
Saucy pedantic wretch, go chide
Late school boys and sour prentices,
Go tell court huntsmen that the king will ride,
Call country ants to harvest offices,
Love, all alike, no season knows nor clime,
Nor hours, days, months, which are the rags of time.
Thy beams, so reverend and strong
Why shouldst thou think?
I could eclipse and cloud them with a wink,
But that I would not lose her sight so long;
If her eyes have not blinded thine,
Look, and tomorrow late, tell me,
Whether both th' Indias of spice and mine
Be where thou leftst them, or lie here with me.
Ask for those kings whom thou saw'st yesterday,
And thou shalt hear, All here in one bed lay.
She's all states, and all princes, I,
Nothing else is.
Princes do but play us; compared to this,
All honor's mimic, all wealth alchemy.
Thou, sun, art half as happy as we,
In that the world's contracted thus.
Thine age asks ease, and since thy duties be
To warm the world, that's done in warming us.
Shine here to us, and thou art everywhere;
This bed thy center is, these walls, thy sphere.
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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