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by PL Chang
In general, the word fractal means “never-ending pattern”. One of the most well-known fractal patterns is the Mandelbrot set. According to FractalFoundation.org, fractals are “infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos. Geometrically, they exist in between our familiar dimensions. Fractal patterns are extremely familiar, since nature is full of fractals. For instance: trees, rivers, coastlines, mountains, clouds, seashells, hurricanes, etc. Abstract fractals – such as the Mandelbrot Set – can be generated by a computer calculating a simple equation over and over”.
As described on Wikipedia.org:
A fractal is a natural phenomenon or a mathematical set that exhibits a repeating pattern that displays at every scale. It is also known as expanding symmetry or evolving symmetry. If the replication is exactly the same at every scale, it is called a self-similar pattern. An example of this is the Menger Sponge.[1] Fractals can also be nearly the same at different levels. This latter pattern is illustrated in the magnifications of the Mandelbrot set.[2][3][4][5] Fractals also include the idea of a detailed pattern that repeats itself.[2]:166; 18[3][6]
Below is a great video that shows scientific evidence of how our reality and the Universe are fractal in nature.
Fractals – Hunting The Hidden Dimension
Philosophers stone – selected views from the boat http://philosophers-stone.co.uk