Poem fractal
0.041 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.
−0.8204 − 0.5848i
Drawing the boundary…
−0.7856 − 0.6063i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Watch the dewdrops in the morning,
Shake their little diamond heads,
Sparkling, flashing, ever moving,
From their silent little beds.
See the grass! Each blade is brightened,
Roots are strengthened by their stay;
Like the dewdrops, let us scatter
Gems of love along the way.
'T is sweet to fight our battles o'er,
And crown with honest praise
The gray old chief, who strikes no more
The blow of better days.
Before the true and trusted sage
With willing hearts we bend,
When years have touched with hallowing age
Our Master, Guide, and Friend.
For all his manhood's labor past,
For love and faith long tried,
His age is honored to the last,
Though strength and will have died.
But when, untamed by toil and strife,
Full in our front he stands,
The torch of light, the shield of life,
Still lifted in his hands,
No temple, though its walls resound
With bursts of ringing cheers,
Can hold the honors that surround
His manhood's twice-told years!
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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