Poem fractal
0.027 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.
−0.1711 − 0.5122i
Drawing the boundary…
by Thomas Moore
−0.1917 − 0.4942i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
We have cried in our despair
That men desert,
For some trivial affair
Or noisy, insolent sport,
Beauty that we have won
From bitterest hours;
Yet we, had we walked within
Those topless towers
Where Helen walked with her boy,
Had given but as the rest
Of the men and women of Troy,
A word and a jest.
by Thomas Moore
Go where glory waits thee,
But while fame elates thee,
Oh! still remember me.
When the praise thou meetest
To thine ear is sweetest,
Oh! then remember me.
Other arms may press thee,
Dearer friends caress thee,
All the joys that bless thee,
Sweeter far may be;
But when friends are nearest,
And when joys are dearest,
Oh! then remember me!
When, at eve, thou rovest
By the star thou lovest,
Oh! then remember me.
Think, when home returning,
Bright we've seen it burning,
Oh! thus remember me.
Oft as summer closes,
When thine eye reposes
On its lingering roses,
Once so loved by thee,
Think of her who wove them,
Her who made thee love them,
Oh! then, remember me.
When, around thee dying,
Autumn leaves are lying,
Oh! then remember me.
And, at night, when gazing
On the gay hearth blazing,
Oh! still remember me.
Then should music, stealing
All the soul of feeling,
To thy heart appealing,
Draw one tear from thee;
Then let memory bring thee
Strains I used to sing thee,—
Oh! then remember me.
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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