Poem fractal
0.024 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.
−0.4533 − 0.5758i
Drawing the boundary…
by Thomas Moore
−0.4641 − 0.5971i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
A poor torn heart, a tattered heart,
That sat it down to rest,
Nor noticed that the ebbing day
Flowed silver to the west,
Nor noticed night did soft descend
Nor constellation burn,
Intent upon the vision
Of latitudes unknown.
The angels, happening that way,
This dusty heart espied;
Tenderly took it up from toil
And carried it to God.
There, — sandals for the barefoot;
There, — gathered from the gales,
Do the blue havens by the hand
Lead the wandering sails.
by Thomas Moore
Scotch Air
Oft, in the stilly night,
Ere slumber’s chain has bound me,
Fond memory brings the light
Of other days around me;
The smiles, the tears,
Of boyhood’s years,
The words of love then spoken;
The eyes that shone,
Now dimm’d and gone,
The cheerful hearts now broken!
Thus, in the stilly night,
Ere slumber’s chain hath bound me,
Sad memory brings the light
Of other days around me.
When I remember all
The friends, so link’d together,
I’ve seen around me fall,
Like leaves in wintry weather;
I feel like one
Who treads alone
Some banquet-hall deserted,
Whose lights are fled,
Whose garlands dead,
And all but he departed!
Thus, in the stilly night,
Ere slumber’s chain has bound me,
Sad memory brings the light
Of other days around 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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