Poem fractal
0.013 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.
by Thomas Moore
−0.2547 − 0.8045i
Drawing the boundary…
−0.2456 − 0.8134i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
by Thomas Moore
I saw the moon rise clear
O'er hills and vales of snow
Nor told my fleet reindeer
The track I wished to go.
Yet quick he bounded forth;
For well my reindeer knew
I've but one path on earth—
The path which leads to you.
The gloom that winter cast,
How soon the heart forgets,
When summer brings, at last,
Her sun that never sets!
So dawned my love for you;
So, fixt thro' joy and pain,
Than summer sun more true,
'Twill never set again.
Behold! a giant am I!
Aloft here in my tower,
With my granite jaws I devour
The maize, and the wheat, and the rye,
And grind them into flour.
I look down over the farms;
In the fields of grain I see
The harvest that is to be,
And I fling to the air my arms,
For I know it is all for me.
I hear the sound of flails
Far off, from the threshing-floors
In barns, with their open doors,
And the wind, the wind in my sails,
Louder and louder roars.
I stand here in my place,
With my foot on the rock below,
And whichever way it may blow
I meet it face to face,
As a brave man meets his foe.
And while we wrestle and strive
My master, the miller, stands
And feeds me with his hands;
For he knows who makes him thrive,
Who makes him lord of lands.
On Sundays I take my rest;
Church-going bells begin
Their low, melodious din;
I cross my arms on my breast,
And all is peace within.
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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