Poem fractal
0.020 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.
−0.3051 + 0.6456i
Drawing the boundary…
−0.3254 + 0.6464i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Glory is of the sun, too, and the sun of suns,
and down the shafts of his splendid pinions
run tiny rivers of peace.
Most of his time, the tiger pads and slouches in a burning peace.
And the small hawk high up turns round on the slow pivot of peace.
Peace comes from behind the sun, with the peregrine falcon, and the owl.
Yet all of these drink blood.
All holy influences dwell within
The breast of Childhood: instincts fresh from God
Inspire it, ere the heart beneath the rod
Of grief hath bled, or caught the plague of sin.
How mighty was that fervour which could win
Its way to infant souls!— and was the sod
Of Palestine by infant Croises trod?
Like Joseph went they forth, or Benjamin,
In all their touching beauty to redeem?
And did their soft lips kiss the Sepulchre?
Alas! the lovely pageant as a dream
Faded! They sank not through ignoble fear;
They felt not Moslem steel. By mountain, stream,
In sands, in fens, they died—no mother near!
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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