Poem fractal
0.008 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.
−0.1350 − 0.1841i
Drawing the boundary…
by Hart Crane
−0.1427 − 0.1837i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Rozłączeni — lecz jedno o drugim pamięta,
Pomiędzy nami latają liście i ptaki,
I cierń rośnie w pustyni, jak gdyby ujęta
Ręka Boża sadziła tam kwiaty wszelakie.
Rozłączeni — lecz jedno o drugim pamięta.
Słyszę twoich kroków echo i szum twych sukienek;
Widzę liście spadające i zmiatane w chmury
Wiatrem — jak twoje ręce — i twoje westchnienia.
A cóż tam, na końcu rozłączeń?
Świat mglisty, znikły łąki kwieciste,
Słońce gasnące i cienie zachodu,
I sny, co żadnej nie dają przyszłości.
by Hart Crane
We make our meek adjustments,
Contented with such random consolations
As the wind deposits
In slithered and too ample pockets.
For we can still love the world, who find
A famished kitten on the step, and know
Recesses for it from the fury of the street,
Or warm torn elbow coverts.
We will sidestep, and to the final smirk
Dally the doom of that inevitable thumb
That slowly chafes its puckered index toward us,
Facing the dull squint with what innocence
And what surprise!
And yet these fine collapses are not lies
More than the pirouettes of any pliant cane;
Our obsequies are, in a way, no enterprise.
We can evade you, and all else but the heart:
What blame to us if the heart live on.
The game enforces smirks; but we have seen
The moon in lonely alleys make
A grail of laughter of an empty ash can,
And through all sound of gaiety and quest
Have heard a kitten in the wilderness.
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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