Poem fractal
0.014 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.
−0.3341 − 0.3316i
Drawing the boundary…
−0.3483 − 0.3326i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Lovely Spring,
A brief sweet thing,
Is swift on the wing;
Gracious Summer,
A slow sweet comer,
Hastens past;
Autumn while sweet
Is all incomplete
With a moaning blast,--
Nothing can last,
Can be cleaved unto,
Can be dwelt upon;
It is hurried through,
It is come and gone,
Undone it cannot be done,
It is ever to do,
Ever old, ever new,
Ever waxing old
And lapsing to Winter cold.
Thy summer voice, Musketaquit,
Repeats the music of the rain;
But sweeter rivers pulsing flit
Through thee, as thou through Concord Plain.
Thou in thy narrow banks art pent:
The stream I love unbounded goes
Through flood and sea and firmament;
Through light, through life, it forward flows.
I see the inundation sweet,
I hear the spending of the stream
Through years, through men, through Nature fleet,
Through love and thought, through power and dream.
Musketaquit, a goblin strong,
Of shard and flint makes jewels gay;
They lose their grief who hear his song,
And where he winds is the day of day.
So forth and brighter fares my stream,—
Who drink it shall not thirst again;
No darkness stains its equal gleam.
And ages drop in it like rain.
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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