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.
by Robert Frost
0.0990 + 0.0683i
Drawing the boundary…
0.1225 + 0.0820i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
by Robert Frost
Always—I tell you this they learned—
Always at night when they returned
To the lonely house from far away
To lamps unlighted and fire gone gray,
They learned to rattle the lock and key
To give whatever might chance to be
Warning and time to be off in flight:
And preferring the out- to the in-door night,
They learned to leave the house-door wide
Until they had lit the lamp inside.
My eyes make pictures, when they are shut:
I see a fountain, large and fair,
A willow, and a ruined hut,
And thee, and me, and Mary there.
O Mary! make thy gentle lap our pillow!
Bend o’er us, like a bower, my beautiful green willow!
A wild-rose roofs the ruined shed,
And that and summer well agree:
And lo! where Mary leans her head,
Two dear names carved upon the tree!
And Mary's tears, they are not tears of sorrow:
Our sister and our friend will both be here to-morrow.
'Twas day! But now few, large, and bright,
The stars are round the crescent moon!
And now it is a dark warm night,
The balmiest of the month of June!
A glow-worm fallen, and on the marge remounting,
Shines, and its shadow shines, fit stars for our sweet fountain.
O ever—ever be thou blest!
For dearly, Asra! love I thee!
This brooding warmth across my breast,
This depth of tranquil bliss—ah me!
Fount, tree, and shed are gone, I know not whither,
But in one quiet room we three are still together.
The shadows dance upon the wall
By the still dancing fire-flames made;
And now they slumber, moveless all!
And now they melt to one deep shade!
But not from me shall this mild darkness steal thee:
I dream thee with mine eyes, and at my heart I feel thee!
Thine eyelash on my cheek doth play—
'Tis Mary's hand upon my brow!
But let me check this tender lay
Which none may hear but she and thou!
Like the still hive at quiet midnight humming,
Murmur it to yourselves, ye two beloved women!
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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