Poem fractal
0.019 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.
−0.4831 − 0.6067i
Drawing the boundary…
−0.4933 − 0.5910i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
The yellow moon across the clouds
That shiver in the sky;
White, hurrying travellers, the clouds,
And, white and aching cold on high,
Stars in the sky.
Whiter, along the frozen earth,
The miracle of snow;
Close covered as for sleep, the earth
Lies, mutely slumbering below
Its shroud of snow.
Sleepless I wander in the night,
And, wandering, watch for day;
Earth sleeps, yet, high in heaven, the night
Awakens, faint and far away,
A phantom day.
The snow had begun in the gloaming,
And busily all the night
Had been heaping field and highway
With a silence deep and white.
Every pine and fir and hemlock
Wore ermine too dear for an earl,
And the poorest twig on the elm-tree
Was ridged inch deep with pearl.
From sheds new-roofed with Carrara
Came Chanticleer's muffled crow,
The stiff rails softened to swan's-down,
And still fluttered down the snow.
I stood and watched by the window
The noiseless work of the sky,
And the sudden flurries of snow-birds,
Like brown leaves whirling by.
I thought of a mound in sweet Auburn
Where a little headstone stood;
How the flakes were folding it gently,
As did robins the babes in the wood.
Up spoke our own little Mabel,
Saying, "Father, who makes it snow?
And I told of the good All-father
Who cares for us here below.
Again I looked at the snow-fall,
And thought of the leaden sky
That arched o'er our first great sorrow,
When that mound was heaped so high.
I remembered the gradual patience
That fell from that cloud like snow,
Flake by flake, healing and hiding
The scar that renewed our woe.
And again to the child I whispered,
"The snow that husheth all,
Darling, the merciful Father
Alone can make it fall!"
Then, with eyes that saw not, I kissed her
And she, kissing back, could not know
That my kiss was given to her sister,
Folded close under deepening snow
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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