252 – As Everything in Nature, We are Reiterations and Reiterators …

There is nothing that empirically proves how profoundly interconnected we are with everything in Nature than a verified scientific theory, and the Mandelbrot Set does that for me.

The Mandelbrot Set is a set of complex numbers named in tribute to Benoit Mandelbrot, the mathematician who coined the word ‘fractals’ to describe the phenomenon of self-similarity in Nature: the reiteration of shapes that appear in ascending and descending scales when natural phenomena, like frost crystals, mountain ranges, blood vessels, waves, ferns, clouds, lightning bolts, cauliflowers, are fragmented into smaller or separate parts that are not identical, but similar.

Mandelbrot solidified the study of this fragmentation with the striking visualizations of computer-generated programs, like the one shown in the link below, in which a recurring shape keeps reappearing at increasing magnifications.


Although the main reach of the Mandelbrot Set is the description of self-similarity in the fragmentation of natural phenomena in Nature, its striking visualizations are a beautiful insight into the nature of reality; in the reappearance, for instance, of the configuration of the double helix in the DNA sequence or the spiral shape in galaxies, the appearance and re-appearance illustrate that self-similarity is a universal property of naturally evolving systems … we can see it wherever we go in the similarity of our own structural configuration in every human being on Earth.

The Mandelbrot Set proves how profoundly interconnected everything in Nature is. And I believe that once we accept this truth about our reality, we will be more rational and understanding in our relationship with the world that gives us the right to exist.

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