Poem fractal
0.033 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.
by John Ford
0.2153 − 0.0229i
Drawing the boundary…
0.2441 − 0.0069i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
by John Ford
Can you paint a thought? or number
Every fancy in a slumber?
Can you count soft minutes roving
From a dial's point by moving?
Can you grasp a sigh? or, lastly,
Rob a virgin's honour chastely?
No, oh no! yet you may
Sooner do both that and this,
This and that, and never miss,
Than by any praise display
Beauty's beauty; such a glory,
As beyond all fate, all story,
All arms, all arts,
All loves, all hearts,
Greater than those, or they,
Do, shall, and must obey.
Who can determine the frontier of Pleasure?
Who can distinguish the limit of Pain?
Where is the moment the feeling to measure?
When is experience repeated again?
Ye who have felt the delirium of passion—
Say, can ye sever its joys and its pangs?
Is there a power in calm contemplation
To indicate each upon each as it hangs?
I would believe not;— for spirit may languish
While sense is most blest and creation most bright;
And life may be dearer and clearer in anguish
Than ever was felt in the throbs of delight.
See the Fakèer as he swings on his iron,
See the thin Hermit that starves in the wild;
Think ye no pleasures the penance environ,
And hope the sole bliss by which pain is beguiled?
No! in the kingdoms those spirits are reaching,
Vain are our words the emotions to tell;
Vain the distinctions our senses are teaching,
For Pain has its Heaven and Pleasure its Hell!
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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