Poem fractal
0.010 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.
−0.0684 − 0.6248i
Drawing the boundary…
−0.0750 − 0.6329i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
Now I am on the earth,
What sweet things love me?
Summer, that gave me birth,
And glows on still above me;
The bird I loved a little while;
The rose I planted;
The woman in whose golden smile
Life seems enchanted.
Now I am in the grave,
What sweet things mourn me?
Summer, that all joys gave,
Whence death, alas! hath torn me;
One bird that sang to me; one rose
Whose beauty moved me;
One changeless woman; yea, all those
That living loved me.
Break the box and shed the nard;
Stop not now to count the cost;
Hither bring pearl, opal, sard;
Reck not what the poor have lost;
Upon Christ throw all away:
Know ye, this is Easter Day.
Build His church and deck His shrine,
Empty though it be on earth;
Ye have kept your choicest wine—
Let it flow for heavenly mirth;
Pluck the harp and breathe the horn:
Know ye not 'tis Easter morn?
Gather gladness from the skies;
Take a lesson from the ground;
Flowers do ope their heavenward eyes
And a Spring-time joy have found;
Earth throws Winter's robes away,
Decks herself for Easter Day.
Beauty now for ashes wear,
Perfumes for the garb of woe,
Chaplets for dishevelled hair,
Dances for sad footsteps slow;
Open wide your hearts that they
Let in joy this Easter Day.
Seek God's house in happy throng;
Crowded let His table be;
Mingle praises, prayer, and song,
Singing to the Trinity.
Henceforth let your souls alway
Make each morn an Easter Day.
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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