They talk of short-lived pleasure—be it so— Pain dies as quickly: stern, hard-featured pain Expires, and lets her weary prisoner go. The fiercest agonies have shortest reign; And after dreams of horror, comes again The welcome morning with its rays of peace Oblivion, softly wiping out the stain, Makes the strong secret pangs of shame to cease: Remorse is virtue's root; its fair increase Are fruits of innocence and blessedness: Thus joy, o'erborne and bound, doth still release His young limbs from the chains that round him press. Weep not that the world changes—did it keep A stable, changeless state, 'twere cause indeed to weep.
Hwæt. We Gardena in geardagum, þeodcyninga, þrym gefrunon, hu ða æþelingas ellen fremedon. Oft Scyld Scefing sceaþena þreatum, monegum mægþum, meodosetla ofteah, egsode eorlas. Syððan ærest wearð feasceaft funden, he þæs frofre gebad, weox under wolcnum, weorðmyndum þah, oðþæt him æghwylc þara ymbsittendra ofer hronrade hyran scolde, gomban gyldan. þæt wæs god cyning. ðæm eafera wæs æfter cenned, geong in geardum, þone god sende folce to frofre; fyrenðearfe ongeat þe hie ær drugon aldorlease lange hwile. Him þæs liffrea, wuldres wealdend, woroldare forgeaf; Beowulf wæs breme blæd wide sprang, Scyldes eafera Scedelandum in. Swa sceal geong guma gode gewyrcean, fromum feohgiftum on fæder bearme, þæt hine on ylde eft gewunigen wilgesiþas, þonne wig cume, leode gelæsten; lofdædum sceal in mægþa gehwære man geþeon.
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Track 1
How this picture is made
What a fractal is
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.
How the boundary is drawn
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.
What the branching signifies
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.