Poem fractal
0.030 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.
−0.1860 − 0.0574i
Drawing the boundary…
−0.1676 − 0.0810i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
What is pink? a rose is pink
By a fountain's brink.
What is red? a poppy's red
In its barley bed.
What is blue? the sky is blue
Where the clouds float thro'.
What is white? a swan is white
Sailing in the light.
What is yellow? pears are yellow,
Rich and ripe and mellow.
What is green? the grass is green,
With small flowers between.
What is violet? clouds are violet
In the summer twilight.
What is orange? Why, an orange,
Just an orange!
Up with me! up with me into the clouds!
For thy song, Lark, is strong;
Up with me, up with me into the clouds!
Singing, singing,
With all the heav'ns about thee ringing,
Lift me, guide me, till I find
That spot which seems so to thy mind!
I have walk'd through wildernesses dreary,
And to-day my heart is weary;
Had I now the wings of a Faery,
Up to thee would I fly.
There is madness about thee, and joy divine
In that song of thine;
Lift me, guide me, high and high,
To thy banqueting-place in the sky.
Joyous as Morning,
Thou art laughing and scorning;
Thou hast a nest, for thy love and thy rest:
And, though little troubled with sloth,
Drunken Lark! thou would'st be loth
To be such a Traveller as I.
Happy, happy Liver!
With a soul as strong as a mountain River,
Pouring out praise to the Almighty Giver,
Joy and jollity be with us both!
Alas! my journey, rugged and uneven,
Through prickly moors or dusty ways must wind;
But hearing thee, or others of thy kind,
As full of gladness and as free of heaven,
I, with my fate contented, will plod on,
And hope for higher raptures, when life's day is done.
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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