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.
−0.3054 + 0.1234i
Drawing the boundary…
by Thomas Hood
−0.2813 + 0.1032i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
The Centaur, Sagittarius, am I,
Born of Ixion's and the cloud's embrace;
With sounding hoofs across the earth I fly,
A steed Thessalian with a human face.
Sharp winds the arrows are with which I chase
The leaves, half dead already with affright;
I shroud myself in gloom; and to the race
Of mortals bring nor comfort nor delight.
by Thomas Hood
What is a mine—a treasury—a dower—
A magic talisman of mighty power?
A poet's wide possession of the earth.
He has th' enjoyment of a flower's birth
Before its budding—ere the first red streaks,—
And Winter cannot rob him of their cheeks.
Look—if his dawn be not as other men's!
Twenty bright flushes—ere another kens
The first of sunlight is abroad—he sees
Its golden 'lection of the topmost trees,
And opes the splendid fissures of the morn.
When do his fruits delay, when doth his corn
Linger for harvesting? Before the leaf
Is commonly abroad, in his piled sheaf
The flagging poppies lose their ancient flame.
No sweet there is, no pleasure I can name,
But he will sip it first—before the lees.
'Tis his to taste rich honey,—ere the bees
Are busy with the brooms. He may forestall
June's rosy advent for his coronal;
Before th' expectant buds upon the bough,
Twining his thoughts to bloom upon his brow.
Oh! blest to see the flower in its seed,
Before its leafy presence; for indeed
Leaves are but wings on which the summer flies,
And each thing perishable fades and dies,
Escap'd in thought; but his rich thinkings be
Like overflows of immortality:
So that what there is steep'd shall perish never,
But live and bloom, and be a joy forever.
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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