daybrown wrote:Pincho Paxton wrote:If Fractals did not involve random numbers, then every time you make one, the first image would be like all others. But its the boundedness of randomness that creates the uniformity, as well as the diversity. You need some fixed elements, that is the ratios or relationships among them, but without random input, all snowflakes or whatever would be identical.
I already covered this, apart from I forgot to mention the airflow which creates a lot of the randomness that you see.
Lets take that for an example. the laminar flow is not a fractal. But the turbulence is. And every time it starts, it does so with the random input you refer to. And every time it starts, it is a little different, but since it is a fractal, you recognize the characteristics of turbulence. It does, for instance, despite the swirls, generally move on up.
If there were no random input, laminar flow would never break down.
But a fractal in nature is a repeating pattern, like the leaves on a tree. They have veins that look like another tree inside them. Or a bee that has hexagon atoms creating hexagon eyes, and lives in a hexagon hive. Or snowflakes that have small snowflakes inside the middle. Turbulence is very messy, I don't see how it is a fractal. Fractals are mostly predictable, and the computer programs nearly always repeat the same pattern if you run them again, because they don't contain many random statements.
There are some fractal computer programs that are random, but the output is messy. These programs are called random fractals because they create an image that looks like a tree, or a mountain. However, these programs create a messy output. They also have absolutely nothing to do with the way that nature works. They have very strict rules to create a tree. They are told to draw a branch, and told to create a branch off the branch, and then told to create a branch off this branch.
I know quite a bit about them. I have a book about them, and I have programmed a few myself. I made one last year that creates blocks of skyscrapers with random furniture, and random rooms, random doors etc. But the rules are very strict, and nature would be unlikely to create fractal skyscrapers.
So you just can't compare the computer program with nature. You can only look for repeating patterns. And most repeating patterns are hexagons. Because atoms are arranged in a hexagon formation.
Then you just ask why are the atoms in a hexagon formation? And when you get the answer to this, you can probably say that the aether is in a hexagon formation.
Why is the aether in a hexagon formation, and why is it invisible?
It can't be made from the matter that our senses were designed to see, or understand. But the philosopher can say that bubbles are hexagons when pressed together, and so this aether, being the very first hexagon pattern in the chain, was not created by other hexagons, but from restricted movement. It was bubbles pressed together.
If you think that turbulence is a fractal, then please explain how, because I don't know what you mean?
