Poem fractal
0.022 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.
−0.3882 − 0.5263i
Drawing the boundary…
−0.4070 − 0.5143i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
They who can smile when others hate,
Nor bind the heart with frosts of fate,
Their feet will go with laughter bold
The green roads of the Never-Old.
They who can let the spirit shine
And keep the heart a lighted shrine,
Their feet will glide with fire-of-gold
The green roads of the Never-Old.
They who can put the self aside
And in Love's saddle leap and ride,
Their eyes will see the gates unfold
To green roads of the Never-Old.
Thou blossom bright with autumn dew,
And colored with the heaven’s own blue,
That openest when the quiet light
Succeeds the keen and frosty night.
Thou comest not when violets lean
O’er wandering brooks and springs unseen,
Or columbines, in purple dressed,
Nod o’er the ground-bird’s hidden nest.
Thou waitest late and com’st alone,
When woods are bare and birds are flown,
And frosts and shortening days portend
The aged year is near his end.
Then doth thy sweet and quiet eye
Look through its fringes to the sky,
Blue-blue-as if that sky let fall
A flower from its cerulean wall.
I would that thus, when I shall see
The hour of death draw near to me,
Hope, blossoming within my heart,
May look to heaven as I depart.
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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