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    42WilkinsonMandelbrotHero

    Hearing a Lecture on the Mandelbrot Set

    By Claude Wilkinson

    December 3, 2024
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    To whom is the cheetah being obedient
    as she strangles a young impala, or
    for that matter a tundra wolf pack, when it
    singles out the winter-wearied caribou?

    Apparently, it all boils down to the design
    of snowflakes, and broccoli, and lightning,
    to a universe following mathematical laws,
    an order in the mind of its Creator.

    Though the paisley fractal graphs
    magnified into endless, so named
    valleys of sea horses and elephants, at first
    seem more akin to images from acid rock
    than they do to anything divine.

    We’re told how our physical reality
    of crystals and clouds is merely mimicking
    the secret, abstract beauty in numbers,
    that 7 can never be anything but 7
    in a realm of transcendent truths.

    Even more dizzying than Fibonacci’s
    golden numbers explaining the spiraling
    of florets in sunflowers and the symmetry
    of Italian sonnets, is zn + 1 = zn2 + c,
    c being the number evaluated and z
    a sequence generated by the formula.

    Of course, didn’t Plato say back in B.C.—
    which is also before computers—that God
    always geometrizes? Complex doesn’t even
    begin to describe how each number in the set,
    such as -1, -½, and 0, is made of these
    surreal shapes looking somewhat
    like silhouettes of quickening organs

    that could be kidneys, or lungs,
    or a brain perhaps, but each being eternally
    attached to smaller and smaller and smaller
    duplicates of itself, like those infinity mirror effects
    where we’ll be able to see the piebald radiance
    of magpies so long as a world exists, or simply
    put: the apple doesn’t fall far from the tree.


    Mandelbrot Set

    Artwork by Binette228 / Wikimedia Commons (public domain).

    Contributed By Claude Wilkinson Claude Wilkinson

    Claude Wilkinson is a critic, essayist, painter, and poet.

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