[new species of fractal] - A New Kind of Science: The NKS Forum

A New Kind of Science: The NKS Forum

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new species of fractal

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Posted by: mick whieldon

Im an artist living in UK. Ive been developing a hand drawn fractal for some years which has astounding unique emergent properties. Im in no way adept at formulae but only visualise mathematical systems with the minds eye. Is there a protocol for establishing a new kind of fractal within the scientific community, or does one just put it out there and become known. Does one patent such a system? The method is currently secret as it has several commercial implications. Any advice to this rather vague question will be welcome.


Posted by: Jesse Nochella

Well, if you put it out there it will become known regardless of consequences. Are the rules for generating you're fractal simple?

I am not sure if you can patent the artifact itself. My intuitive guess is that if you were to find some powerful use for it then that use in itself could be patented. But I am not entirely sure.

I think the basic answer you're looking for is that so little people actually care or pay attention to such systems in search for commercial applications (again I am not sure of the truth of this, just my prespective), that it is hardly ever concievably an issue. This forum is a sound, citable rescource that discoveries can be published on to.

Hope this helps.


Posted by: mick whieldon

Thanks jesse.
The rule is simplest possible!
Ive coined a term for the model - 'QUANTOSYNTHESIS'. You heard it here first.


Posted by: Jesse Nochella

How does it work?


Posted by: mick whieldon

It works by creating emergent artifacts that look like real-world forms, not just streams, blobs and swirls. [not to demean streams, blobs and swirls - theyre great!]
Im working on a presentation which will reveal all in good time.


Posted by: Val Smith

Champernowne's Numbers are fractals which contain all possible discrete information which could ever be stored, and therefore are super-redundant prior art to all "digital" (quantized) audiovisual work, past or future, which may especially be played or displayed in real time without labels of authorship or fixed, tangible media.

The number is the open source for my synthesizer.

omnibus ex nihilo ducendis sufficit unum
-Leibniz
(To create all from nothing, one is sufficient.)



Posted by: mick whieldon

How do I calculate the fractal dimension of my hand drawn fractal assuming it has discrete edges which can be measured....and is there a fractal generator which can iterate from what one draws in visually....? any answers welcome.


Posted by: Val Smith

"fractal dimension box counting" method looks to me perhaps the easiest way to estimate the fractal dimension of hand drawn fractals. It may simply involve counting the squares on two differently ruled graph papers that the fractal (which you would carbon-copy onto the grids) does cover, and then use a calculator with logs. You can search for a web page with a calculator on it.
Links:

simplest:
http://www.mrob.com/pub/muency/boxc...gdimension.html

maybe too much info:
http://www.ees.nmt.edu/~davew/P362/boxcnt.htm

and maybe something in between:
http://library.thinkquest.org/26242...torial/ch7.html

I can't recommend a program, except that if you know how to draw a fractal, you can teach someone who can program to do it. Other than that, a fractal generator you would use depends on the kind of fractal and may need more or less trial and error to find a "rule" for generating the fractal. I looked for a java applet that would let you draw the "axiom" and "motif" and then iterate, as an example, but didn't find one.

Again, I see two possibilities, either someone helps you program a computer to finish your fractal drawings the same way you do them, or find a program already capable of drawing similar fractals that can be experimentally changed until it is able to finish your drawings.

Such programs seemed common and easy before 1995 but since then it seems to take a team of experts a month and a million to say it can't be done. I can't think of any modern equipment that can conveniently be programmed to draw on it's screen and then process the image as you please, as was once common, when Microsoft made BASIC, and young children wrote video games in it.


Posted by: mick whieldon

thats really helpful, val. ill work on that one. ta very much.




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