I am the cat of cats
I am the cat of cats. I am
The everlasting cat!
Cunning, and old, and sleek as jam,
The everlasting cat!
I hunt vermin in the night—
The everlasting cat!
For I see best without the light—
The everlasting cat!
Poem fractal
0.033 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.
−0.5320 − 0.6830i
Drawing the boundary…
−0.5082 − 0.7064i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
I am the cat of cats. I am
The everlasting cat!
Cunning, and old, and sleek as jam,
The everlasting cat!
I hunt vermin in the night—
The everlasting cat!
For I see best without the light—
The everlasting cat!
Loud he sang the psalm of David!
He, a Negro and enslaved,
Sang of Israel's victory,
Sang of Zion, bright and free.
In that hour, when night is calmest,
Sang he from the Hebrew Psalmist,
In a voice so sweet and clear
That I could not choose but hear,
Songs of triumph, and ascriptions,
Such as reached the swart Egyptians,
When upon the Red Sea coast
Perished Pharaoh and his host.
And the voice of his devotion
Filled my soul with strange emotion;
For its tones by turns were glad,
Sweetly solemn, wildly sad.
Paul and Silas, in their prison,
Sang of Christ, the Lord arisen,
And an earthquake's arm of might
Broke their dungeon-gates at night.
But, alas! what holy angel
Brings the Slave this glad evangel?
And what earthquake's arm of might
Breaks his dungeon-gates at night?
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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