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in Coordinate Geometry by (15 points)
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What equation describes a three-dimensional fractal?

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The formula originally used in the fractal geometry, the crux of Mandelbrot, Julia, & Fatou sets, is defined as Z2 + C. We, (the math community), carried the assumption that this exact, same formula would result in similar parallels across different number systems; confident in White’s logic yet frustrated by the disappointing outputs, another enthusiast, by the name of Paul Nylander, decided to experiment by raising Z to different powers.

After multiple attempts & painfully-slow renders, Nylander & White finally stumbled across what is today known as The Mandelbulb; for no obvious, objective reason, other than the pair believe this is the closest to the equivalent of a Mandelbrot Set, the formula for The Mandelbulb is: Z8 + C.

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