This I beheld, or dreamed it in a dream: — There spread a cloud of dust along a plain; And underneath the cloud, or in it, raged A furious battle, and men yelled, and swords Shocked upon swords and shields. A prince's banner Wavered, then staggered backward, hemmed by foes. A craven hung along the battle's edge, And thought, "Had I a sword of keener steel — That blue blade that the king's son bears, — but this Blunt thing —!" he snapt and flung it from his hand, And lowering crept away and left the field. Then came the king's son, wounded, sore bestead, And weaponless, and saw the broken sword, Hilt-buried in the dry and trodden sand, And ran and snatched it, and with battle-shout Lifted afresh he hewed his enemy down, And saved a great cause that heroic day.
There are lots and lots of people who are always asking things, Like Dates and Pounds-and-ounces and the names of funny Kings, And the answer's either Sixpence or A Hundred Inches Long, And I know they'll think me silly if I get the answer wrong.
So Pooh and I go whispering, and Pooh looks very bright, And says, "Well, I say sixpence, but I don't suppose I'm right," And then it doesn't matter what the answer ought to be, 'Cos if he's right, I'm Right, and if he's wrong, it isn't Me.
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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.