Showing posts from December, 2010

1.8 Sustainability and the Fractal

Sustainability and the fractal: This entry follows on from my fractal growth and development entries - published earlier. There is never one snowflake alike, but there are snowflakes. The fractal offers insights and helps us understand growth and development, change and evolution, then it should also help us understand sustainability . It should clarify what sustainability is. Is it real? Is it possible? Is it an illusion, or is it a delusion? Fractals, by definition are patterns that show: 'same' but 'different', or regular irregularity - at all scales. Fractals do support sustainability in one way; but not in another or the way 'we' currently associate sustainability with, the notion of keeping the environment or the economy today without compromising future generations. It maybe that the notion of sustainability is a (mathematically) non-sense. Here's why. Fractals and sustainability analysis To see why sustainability is a false statement - and

On fractals and statistics

Just what's on my mind today: What is the connection between the Mandelbrot set and the bell-shaped normal distribution curve, or any distribution for that matter? This is something I have been thinking about for some time. I am surprised that fractals are not used to describe patterns. It came to me today while on my bike to work: Fractals are an object thing, and describe the object through all scales; normal distribution or statistics need a parameter to function. example: Stars are fractal, and will not distribute without a parameter: when we add say star size, star colour or distance, we get a distribution. So I believe there is a very close relationship between the two - what is interesting is that distribution patterns are very fractal, absolutely universal. It is a goal of mine to understand this more: for there is more to it. Update Feb 2020 It was some time ago when I wrote the above; it is coming back to me know as I know more and have more questions. What I

The (fractal) God Illusion - the feeling of being watched.

The (fractal) God Illusion: This applies to the Koch Curve zoom and links to my early blog on Inflation. The following video inspired me for this insight, but the insight actually came to me while waiting in a doctors surgery - funny enough. This is a great video on fractals and the Mandelbrot set : at 4:20 min Arthur C Clark explains the infinite size of the Mandelbrot set. Two people stand at the edge of the fractal ( the Koch Snowflake), pairing into it - as if it were a tunnel or a computer screen. What if one of the people (the walker) were able to walk out into the zoom, while the other stayed out and watched (the viewer). For the walker, it would be like walking into a tunnel, and the viewer would see him or her get smaller and smaller as they walk in. Now, what if the walker were to stop, turn, and look behind. What would they see? A tunnel - with the viewer at the entrance, very small, and watching? NO. They would see infinity: they would see the infinite eye of