FRACTAL ECONOMICS

This entry states that I looked at whether the Koch Snowflake has a Fibonacci number in it. For some reason, I did not publish the result. In the earlier entry, 'The Fractal Multiplier, ' I noticed that the total area is 1.6 times the area of the first triangle. It is of interest to me (the author), and of my mathematician colleague’s, that the Koch snowflake fractal multiplier is 1.6. This 1.6 is very close to (but not the same as!) the  Fibonacci or Golden ratio of 1.618 .

The Koch Snowflake Spiral 2024: last year, I published, using the following, an interpretation of Quantum Mechanics. https://www.fractalnomics.com/2023/05/fractal%20foundational%20quantum%20theory%20published%20.html International Journal of Quantum Foundations, Speculations. The Fractal Corresponds with Light and Foundational Quantum Problems   Experiment on Inverted Fractal Corresponds with Cosmological Observations and Conjectures On route to understanding if  fractals have a 'wavy' like nature , I finally put pencil to paper and drew what I'd been thinking. I have been pondering what effect a 'mutation' or change to one triangle - a dot at the apex of the triangle as shown below - would have or show on the  iterating  Koch Snowflake. I envisaged that it would spiral to infinity, as shown below. By tracing a smooth curve through the (red) 'dots' series of iterated mutant triangles, I would develop - what looks like - a kind of logarith...

Marginalism and Marginal Analysis are derived from the fractal (?) Update May 2017 This is by far my best idea; I have written it up in a working paper at my academia.edu and vixra , and named it:   Quantum Mechanics, Information and Knowledge, all Aspects of Fractal Geometry and Revealed in an Understanding of Marginal Economics. I shall post the abstract, followed by the original post, and then the paper. I hope to have some collaboration and review my work in time. Abstract Fractal geometry is found universally and is said to be one of the best descriptions of our reality – from clouds and trees to market price behaviour. As a fractal structure emerges – repeating a simple rule – it appears to share direct properties familiar to classical economics, including production, consumption, and equilibrium. This paper investigated whether the mathematical principles behind ‘the market’ – known as marginalism – is an aspect or manifestation of a fractal geometry or attr...