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.
by A. A. Milne
−0.0968 − 0.7836i
Drawing the boundary…
−0.0984 − 0.7985i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
by A. A. Milne
Halfway down the stairs
Is a stair
Where I sit.
There isn't any
Other stair
Quite like
It.
I'm not at the bottom,
I'm not at the top;
So this is the stair
Where
I always
Stop.
Halfway up the stairs
Isn't up
And it isn't down.
It isn't in the nursery,
It isn't in town.
And all sorts of funny thoughts
Run round my head.
It isn't really
Anywhere!
It's somewhere else
Instead!
Heard you that shriek? It rose
So wildly on the air,
It seemed as if a burden'd heart
Was breaking in despair.
Saw you those hands so sadly clasped—
The bowed and feeble head—
The shuddering of that fragile form—
That look of grief and dread?
Saw you the sad, imploring eye?
Its every glance was pain,
As if a storm of agony
Were sweeping through the brain.
She is a mother, pale with fear,
Her boy clings to her side,
And in her kirtle vainly tries
His trembling form to hide.
He is not hers, although she bore
For him a mother's pains;
He is not hers, although her blood
Is coursing through his veins!
He is not hers, for cruel hands
May rudely tear apart
The only wreath of household love
That binds her breaking heart.
His love has been a joyous light
That o'er her pathway smiled,
A fountain gushing ever new,
Amid life's desert wild.
His lightest word has been a tone
Of music round her heart,
Their lives a streamlet blent in one—
Oh, Father! must they part?
They tear him from her circling arms,
Her last and fond embrace:
Oh! never more may her sad eyes
Gaze on his mournful face.
No marvel, then, these bitter shrieks
Disturb the listening air:
She is a mother, and her heart
Is breaking in despair.
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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