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.
0.2761 − 0.3913i
Drawing the boundary…
0.2877 − 0.3659i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Mine is a body that should die at sea!
And have for a grave, instead of a grave
Six feet deep and the length of me,
All the water that is under the wave!
And terrible fishes to seize my flesh,
Such as a living man might fear,
And eat me while I am firm and fresh,—
Not wait till I’ve been dead for a year!
Sing lullaby, as women do,
Wherewith they bring their babes to rest;
And lullaby can I sing too,
As womanly as can the best.
With lullaby they still the child;
And if I be not much beguiled,
Full many a wanton babe have I,
Which must be still'd with lullaby.
First lullaby my youthful years,
It is now time to go to bed:
For crooked age and hoary hairs
Have won the haven within my head.
With lullaby, then, youth be still;
With lullaby content thy will;
Since courage quails and comes behind,
Go sleep, and so beguile thy mind!
Next lullaby my gazing eyes,
Which wonted were to glance apace;
For every glass may now suffice
To show the furrows in thy face.
With lullaby then wink awhile;
With lullaby your looks beguile;
Let no fair face, nor beauty bright,
Entice you eft with vain delight.
And lullaby my wanton will;
Let reason's rule now reign thy thought;
Since all too late I find by skill
How dear I have thy fancies bought;
With lullaby now take thine ease,
With lullaby thy doubts appease;
For trust to this, if thou be still,
My body shall obey thy will.
Thus lullaby my youth, mine eyes,
My will, my ware, and all that was:
I can no more delays devise;
But welcome pain, let pleasure pass.
With lullaby now take your leave;
With lullaby your dreams deceive;
And when you rise with waking eye,
Remember then this lullaby.
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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