Daffodowndilly
by A. A. Milne
She wore her yellow sun-bonnet,
She wore her greenest gown;
She turned to the south wind
And curtsied up and down.
She turned to the sunlight
And shook her yellow head,
And whispered to her neighbour:
"Winter is dead."
Poem fractal
0.031 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
−0.4426 − 0.6868i
Drawing the boundary…
−0.4672 − 0.7050i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
by A. A. Milne
She wore her yellow sun-bonnet,
She wore her greenest gown;
She turned to the south wind
And curtsied up and down.
She turned to the sunlight
And shook her yellow head,
And whispered to her neighbour:
"Winter is dead."
In Mather's Magnalia Christi,
Of the old colonial time,
May be found in prose the legend
That is here set down in rhyme.
A ship sailed from New Haven,
And the keen and frosty airs,
That filled her sails at parting,
Were heavy with good men's prayers.
"O Lord! if it be thy pleasure"—
Thus prayed the old divine—
"To bury our friends in the ocean,
Take them, for they are thine!"
But Master Lamberton muttered,
And under his breath said he,
"This ship is so crank and walty
I fear our grave she will be!"
And the ships that came from England,
When the winter months were gone,
Brought no tidings of this vessel
Nor of Master Lamberton.
This put the people to praying
That the Lord would let them hear
What in his greater wisdom
He had done with friends so dear.
And at last their prayers were answered:—
It was in the month of June,
An hour before the sunset
Of a windy afternoon,
When, steadily steering landward,
A ship was seen below,
And they knew it was Lamberton, Master,
Who sailed so long ago.
On she came, with a cloud of canvas,
Right against the wind that blew,
Until the eye could distinguish
The faces of the crew.
Then fell her straining topmasts,
Hanging tangled in the shrouds,
And her sails were loosened and lifted,
And blown away like clouds.
And the masts, with all their rigging,
Fell slowly, one by one,
And the hulk dilated and vanished,
As a sea-mist in the sun!
And the people who saw this marvel
Each said unto his friend,
That this was the mould of their vessel,
And thus her tragic end.
And the pastor of the village
Gave thanks to God in prayer,
That, to quiet their troubled spirits,
He had sent this Ship of Air.
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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