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.
−0.3970 − 0.6538i
Drawing the boundary…
−0.4233 − 0.6626i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Give me the nerve
That never will swerve
Running out on life's ledges of danger;
Mine, mine be the nerve
That in peril will serve,
Since life is to safety a stranger.
When roaring below
The cataracts go,
And tempests are over me scudding;
Give, give me the calm
That is better than balm,
And the courage that keepeth new-budding.
Silently without my window,
Tapping gently at the pane,
Falls the rain.
Through the trees sighs the breeze
Like a soul in pain.
Here alone I sit and weep;
Thought hath banished sleep.
Wearily I sit and listen
To the water's ceaseless drip.
To my lip
Fate turns up the bitter cup,
Forcing me to sip;
'Tis a bitter, bitter drink,
Thus I sit and think, —
Thinking things unknown and awful,
Thoughts on wild, uncanny themes,
Waking dreams.
Spectres dark, corpses stark,
Show the gaping seams
Whence the cold and cruel knife
Stole away their life.
Bloodshot eyes all strained and staring,
Gazing ghastly into mine;
Blood like wine
On the brow — clotted now—
Shows death's dreadful sign.
Lonely vigil still I keep;
Would that I might sleep!
Still, oh, still, my brain is whirling!
Still runs on my stream of thought;
I am caught
In the net fate hath set.
Mind and soul are brought
To destruction's very brink;
Yet I can but think!
Eyes that look into the future,—
Peeping forth from out my mind,
They will find
Some new weight, soon or late,
On my soul to bind,
Crushing all its courage out,—
Heavier than doubt.
Dawn, the Eastern monarch's daughter,
Rising from her dewy bed,
Lays her head
'Gainst the clouds' sombre shrouds
Now half fringed with red.
O'er the land she 'gins to peep;
Come, O gentle Sleep!
Hark! the morning cock is crowing;
Dreams, like ghosts, must hie away;
'Tis the day.
Rosy morn now is born;
Dark thoughts may not stay.
Day my brain from foes will keep;
Now, my soul, I sleep.
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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