The Mandelbrot Set, discovered in 1980 by mathematician Benoit B. Mandelbrot, is a captivating fractal. Known for its intricate, self-replicating patterns, it has a special place in mathematics and the exploration of natural geometry, earning it the moniker “The Thumbprint of God.” In the realm of natural geometry, the Mandelbrot Set unveils connections between mathematics and the patterns found in nature. Fractals, akin to the Mandelbrot Set, manifest in various natural phenomena such as tree b

https://bit.ly/40iBdKr Usually we see the Mandelbrot set as a flat two dimensional image. What’s exciting is to produce a 3-D animation which shows the values produced by the algorithm that creates the Mandelbrot set. Within the two dimensional plane of complex numbers which include the summation of the standard real numbers and imaginary numbers, we see this fractal. The algorithm that produces this fractal is simple. Starting with zero we multiply a value by itself and then add the location in