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.
−0.3970 − 0.6538i
Drawing the boundary…
by T. S. Eliot
−0.4158 − 0.6673i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Give me the nerve
That never will swerve
Running out on life's ledges of danger;
Mine, mine be the nerve
That in peril will serve,
Since life is to safety a stranger.
When roaring below
The cataracts go,
And tempests are over me scudding;
Give, give me the calm
That is better than balm,
And the courage that keepeth new-budding.
by T. S. Eliot
The broad-backed hippopotamus
Rests on his belly in the mud;
Although he seems so firm to us
He is merely flesh and blood.
Flesh and blood is weak and frail,
Susceptible to nervous shock;
While the True Church can never fail
For it is based upon a rock.
The hippo's feeble steps may err
In compassing material ends,
While the True Church need never stir
To gather in its dividends.
The 'potamus can never reach
The mango on the mango-tree;
But fruits of pomegranate and peach
Refresh the Church from over sea.
At mating time the hippo's voice
Betrays inflexions hoarse and odd,
But every week we hear rejoice
The Church, at being one with God.
The hippopotamus's day
Is passed in sleep; at night he hunts;
God works in a mysterious way —
The Church can sleep and feed at once.
I saw the ʼpotamus take wing
Ascending from the damp savannas,
And quiring angels round him sing
The praise of God, in loud hosannas.
Blood of the Lamb shall wash him clean
And him shall heavenly arms enfold,
Among the saints he shall be seen
Performing on a harp of gold.
He shall be washed as white as snow,
By all the martyr'd virgins kist,
While the True Church remains below
Wrapt in the old miasmal mist.
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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