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.
−0.0134 − 0.4176i
Drawing the boundary…
by Richard
0.0013 − 0.4289i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Over thy head, in joyful wanderings
Through heaven's wide spaces, free,
Birds fly with music in their wings;
And from the blue, rough sea
The fishes flash and leap;
There is a life of loveliest things
O'er thee, so fast asleep.
In the deep West the heavens grow heavenlier,
Eve after eve; and still
The glorious stars remember to appear;
The roses on the hill
Are fragrant as before:
Only thy face, of all that's dear,
I shall see nevermore!
by Richard
In the heart of Britain's darkest hour,
When the clouds of war did loom,
Young men rose with steadfast power,
Defenders of our land and home.
Up they soared, into the fire,
Wings of steel, hearts of gold.
Guided by a nation's desire,
Brave and bold, their story told.
Oh, Heroes in the skies, you answered the call,
With valour and might, you gave it your all.
Churchill's words forever true,
So much owed by so many, to so few.
In the blue where eagles fly,
With courage that will never fade,
They faced the storm, they touched the sky,
Their legacy in history laid.
Through the flak and roaring thunder,
Guardians of the free and fair.
Their sacrifice, we remember,
Echoes of their daring air.
From the cliffs of Dover to London’s heart,
Their spirit lives, it won’t depart.
In every field and rolling hill,
Their courage stands, enduring still.
From Spitfires’ wings to Hurricane’s roar,
They held the line, they won the war.
A grateful land, forever more,
Salutes the airmen, who fought before.
So let the banners wave on high,
And let the songs of praise be heard.
For those who soared into the sky,
We'll ne'er forget their noble word.
Oh, Heroes in the skies, we remember you,
With eternal thanks, our hearts renew.
For never in history, such courage did ensue,
So much owed by so many, to so few.
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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