Commencement
Commencement is a day of dreams,
Of castles grand, of murm'ring streams,
Of cities fair, where roses grow,
Of summer clouds, where breezes blow,
And this, the wish I bring to you,
May all your noble dreams come true!
Poem fractal
0.028 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.
−0.2082 − 0.3767i
Drawing the boundary…
−0.2060 − 0.3484i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Commencement is a day of dreams,
Of castles grand, of murm'ring streams,
Of cities fair, where roses grow,
Of summer clouds, where breezes blow,
And this, the wish I bring to you,
May all your noble dreams come true!
A song is but a little thing,
And yet what joy it is to sing!
In hours of toil it gives me zest,
And when at eve I long for rest;
When cows come home along the bars,
And in the fold I hear the bell,
As Night, the shepherd, herds his stars,
I sing my song, and all is well.
There are no ears to hear my lays,
No lips to lift a word of praise;
But still, with faith unfaltering,
I live and laugh and love and sing.
What matters yon unheeding throng?
They cannot feel my spirit's spell,
Since life is sweet and love is long,
I sing my song, and all is well.
My days are never days of ease;
I till my ground and prune my trees.
When ripened gold is all the plain,
I put my sickle to the grain.
I labor hard, and toil and sweat,
While others dream within the dell;
But even while my brow is wet,
I sing my song, and all is well.
Sometimes the sun, unkindly hot,
My garden makes a desert spot;
Sometimes a blight upon the tree
Takes all my fruit away from me;
And then with throes of bitter pain
Rebellious passions rise and swell;
But—life is more than fruit or grain,
And so I sing, and all is well.
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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