Poem fractal
0.021 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.
−0.4212 − 0.3008i
Drawing the boundary…
−0.4093 − 0.3183i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
I went to the Garden of Love,
And saw what I never had seen;
A Chapel was built in the midst,
Where I used to play on the green.
And the gates of this Chapel were shut,
And 'Thou shalt not' writ over the door;
So I turned to the Garden of Love
That so many sweet flowers bore.
And I saw it was filled with graves,
And tombstones where flowers should be;
And priests in black gowns were walking their rounds,
And binding with briars my joys and desires.
Ye Mariners of England
That guard our native seas!
Whose flag has braved a thousand years
The battle and the breeze!
Your glorious standard launch again
To match another foe;
And sweep through the deep,
While the stormy winds do blow!
While the battle rages loud and long
And the stormy winds do blow.
The spirits of your fathers
Shall start from every wave—
For the deck it was their field of fame,
And Ocean was their grave:
Where Blake and mighty Nelson fell
Your manly hearts shall glow,
As ye sweep through the deep,
While the stormy winds do blow!
While the battle rages loud and long
And the stormy winds do blow.
Britannia needs no bulwarks,
No towers along the steep;
Her march is o'er the mountain-waves,
Her home is on the deep.
With thunders from her native oak
She quells the floods below,
As they roar on the shore,
When the stormy winds do blow!
When the battle rages loud and long,
And the stormy winds do blow.
The meteor flag of England
Shall yet terrific burn;
Till danger's troubled night depart
And the star of peace return.
Then, then, ye ocean-warriors!
Our song and feast shall flow
To the fame of your name,
When the storm has ceased to blow!
When the fiery fight is heard no more,
And the storm has ceased to blow.
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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