We can find chaotic patterns everywhere in nature – omnipresent from sea to sky – they constitute the growth of plants, trees, crystals and snowflakes. Integrated systems instrumental in the formation of lightning, galaxies, rivers, mountains and even our own circulatory systems.
“Fractals” is the applicable term for these patterns, referring to non-regular geometric constructs that exhibit the same degree of non-regularity at all scales. On one hand they probabilistically conform to a larger pattern, but on more granular levels they appear to express radical levels of non-conformity! Talk about an interesting paradox – so, what can they tell us?
“Everything in moderation, including moderation!”Oscar Wilde
Sage advice. Perhaps another message we should take on board is that the seemingly complex is often simple, and by identifying fundamental building blocks the infinite can probably be reduced (or reproduced). Looking now at the pictures below, doesn’t the Mandelbrot set just seem like a novel form of natural encryption?
Defining Ground Up
“What are the building blocks and how can they be identified?”
Well, the essence of a fractal seems procedural by context; as the contextual value of Z is incremented, the output is transformed according to a stable value of C. If we consider fractals as a primitive linguistic object and apply their descriptors to other frames – perhaps subjects like education, politics or tech – we surface many desirable (yet often paradoxical) properties.
Think about the language we might use to describe the “key pairs” above; on one hand we use words like “constrained” and “stable” to describe the equation, and then words like “infinite” and “transforming” to describe the graphical output – paradoxical opposites… yet two parts of an interrelated whole and desirable to all three previously mentioned industries.
Now, at this juncture I wish to talk about many sparse subjects because they all interlink at the fractal nexus. However I’ll refrain. In follow up posts though I’ll likely discuss Commons, Blockchain or Tao based philosophy as they can serve to carry some parallel lines of thought, this first draft is just a reference implementation.
As this post fades to black, I wish to hypothesise that as we actually move towards a functional global commons – through distributed organisational structures and open source computing – the movements that take us “exponential” will probably follow natural patterns. Please look for their “ripples” in follow up posts.
“From little things big things grow”Kev Cambody
*This is a living document.