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Macro and Micro and the Fractal

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Updated 29th Nov 2012 There are many insights - in relation to macro/micro - that can be taken from the fractal. Firstly, and importantly, when viewing a fractal (in isolation) scale cannot be discerned, the object maybe any size at all, from infinity small to infinitly large; the object shares the fractal charactoristic of being 'same' but 'different' at every scale. The object's shape can be discerned, and from this, an attempt can be made to deduce an understanding of the process to produce it. The object is the 'same'; the examples are infinitely 'different'. Examples: income, wealth, trade, selection, reproduction, specialisation and so on. We see the same but different - at all scales. These principles repeat throughout the universe and are central to biology, chemistry, and physics. This observation sheds light on whether there is a distinction between micro and macro: the fractal shows us that there may be no real separation between th...

Fractal: Equilibrium Perfect Knowledge and Output

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Fractal Equilibrium: This entry follows on from 'production of the fractal'. Here, I suggest that equilibrium - in any sense - is fundamental to the fractal. Koch Snowflake development: source, Wikipedia The above animation shows the development of the fractal; at iteration 5 or 6, fractal equilibrium is reached - where the shape (of the snowflake) is made or where benefit production is equal to the cost of production. Fig. 2b below, shows a closeup analysis of the fractal equilibrium, at least from a static point of view.  MC  intersects, or is equal to MA, at iteration 5 where the Area is equal to 1, due to the reciprocal of 1 itself being equal 1. Equilibrium - Perfect Knowledge* http://en.wikipedia.org/wiki/Perfect_information Any iteration less than fractal equilibrium will result in an imperfect (snowflake) shape or incomplete knowledge or information. Any iteration point with g...