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"Threshold" Logo Fractal

Chris_Johnston

Chris_Johnston

Captain
Captain
I already posted this in General Science Fiction, but it was suggested that I post it here also...

Just started watching Threshold, and I'm fascinated by the fractal pattern that the whole thing revolves around.

http://content.answers.com/main/content/wp/en/e/e1/Threshold-FractalPattern.jpg

I wanted to be able to generate it with one of those nifty freeware fractal programs, but I can't find any info on this design, other than this bit o' trivia from IMDb...
The symbol used is an Escape-Time fractal, a version of the Julia Set, a recursively constructed shape related to the more famous Mandelbrot Set.
Click to expand...
...which doesn't tell me much.

Anybody here know anything about fractals?
Specifically, what formula I can plug into Fractal Domains to generate it.
 
Well, the IMDB trivia is (to my ears) slightly misleading. There are three techniques of generating fractals--Escape-Time fractals are one of the techniques. The Mandelbrot Set and the Julia Set, which are related, both result in Escape-Time fractals.

As I understand it, to obtain, for example, the Mandelbrot Set, you plug each point into an equation (the math part is where I get fuzzy) and see if the point that you've plugged in results in the equation escaping to infinity after some number of iterations. To see what I mean, take a look at this graph/picture. Take a look at the point -1, 0. Note that it is colored black. The equation to generate the Mandelbrot Set is given here. You start with 0 and, using your points (in our case -1, 0), keep iterating, and the points will either stay within a certain area or they will escape to infinity. Now go back to our graph/picture. All the areas that are colored black are points that did *not* escape to infinity, and they are part of the Mandelbrot set. All the other points (colored white) are ones that *did* escape. Of course, you're probably used to colored images, right? The coloring is based on how long it took for the point to escape to infinity. If it escaped after many iterations, it's colored yellow; a few less iterations, white; a medium number of iterations to escape is light blue; and escaping after just a few iterations is dark blue.

After all that, though, I don't have the equation to your fractal. Perhaps you could email one of the designers for the show?
 
Actually, it goes back further than that. It's more like an old Celtic triskele.
 
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