Is Arethusa Pool (New Zealand) and its island's the worlds only natural fractal lake? I was there with my family in January: it was a wonderful day, and very exciting for me - mathematically speaking. Arethusa Pool (and its island) is on Mou Waho Island, which is on Lake Wanaka, which is on the South Island of New Zealand, which is in the South Pacific Ocean. Water (the South Pacific Ocean), land (South Island New Zealand), water (lake Wanaka), land (Mou Waho Island) , water (Arethusa Pool), land (islands on Arethusa Pool); water in a puddle after rain (or when I filled it), land as small as a square centimeter inside the puddle, ..... water?? Arethusa Pool, and Lake Wanaka New Zealand 2015.
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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, followed by the paper. I hope to have some collaborate 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 – the repeating of a simple rule – it appears to share direct properties familiar to classical economics, including production, consumption, and equilibrium. This paper was an investigation into whether the mathematical principles behind ‘the market’ – known as marginalism – is an aspect or manifestation of a fractal geometry or attractor. Total and marginal areas (assumed to stand
This entry is one of a set of entries on the fractal and the strange (quantum like) nature of them. I use the word quantum because there is no other area of knowledge that comes close to explaining or relating to the discoveries I am making with fractal geometry. Blair 11,03,2013 Wave and particle D uality - and the fractal The below entry is a discovery, not an explanation. I (intend to) write what I see, and what I expect I have found - I do not pretend to fully understand. Just as the atom can ' weirdly' be described as being both a particle and as a ‘smeared out’ wave at the same time, so too, as I shall demonstrate, can the fractal be described in such a way - only for the fractal it is not so weird. The fractal demonstrating a (discrete) particle: The fractal is defined by a pattern, object or shape repeating or iterating. The the Koch Snowflake (below) demonstrates this iterating - the triangle represents the particle. The triangle (in the Koch