Poem fractal
0.015 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.
−0.2813 − 0.4077i
Drawing the boundary…
by Robert Burns
−0.2673 − 0.4118i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Would I might go far over sea,
My Love, or high above the air,
And come to land or heaven with thee,
Where no law is and none shall be
Against beholding the most rare
Strange beauty that thou hast for me.
Alas, for, in this bitter land,
Full many a written curse doth stand
Against the kiss thy lips should bear ;
Against the sweet gift of thy hand;
Against the knowing that thou art fair,
And too fond loving of thy hair!
by Robert Burns
Is there, for honest poverty,
That hangs his head, and a' that?
The coward-slave, we pass him by,
We dare be poor for a' that!
For a' that, and a' that,
Our toils obscure, and a' that;
The rank is but the guinea's stamp,
The man's the gowd for a' that!
What tho' on hamely fare we dine,
Wear hoddin gray, and a' that;
Gie fools their silks, and knaves their wine,
A man's a man, for a' that!
For a' that, and a' that,
Their tinsel show, and a' that;
The honest man, though e'er sae poor,
Is king o' men for a' that!
Ye see yon birkie, ca'd—a lord,
Wha struts, and stares, and a' that;
Though hundreds worship at his word,
He's but a coof for a' that:
For a' that, and a' that,
His riband, star, and a' that,
The man of independent mind,
He looks and laughs at a' that.
A king can make a belted knight,
A marquis, duke, and a' that,
But an honest man's aboon his might,
Guid faith, he maunna fa' that!
For a' that, and a' that,
Their dignities, and a' that,
The pith o' sense, and pride o' worth,
Are higher ranks than a' that.
Then let us pray that come it may—
As come it will for a' that—
That sense and worth, o'er a' the earth,
May bear the gree, and a' that;
For a' that, and a' that,
It's comin' yet for a' that,
That man to man, the warld o'er,
Shall brothers be for a' that!
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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