FRACTALS please!!! :)

Since we're getting into math..... How about covering these fractal types first.....then maybe user-defined math input.....

http://spanky.triumf.ca/www/fractint/...types.html

I doubt the framework released in stage 3 has the capacity for imaginary numbers.

Why is there a demand for fractals?

You can use other software such as: http://www.apophysis.org/ to get pretty results fairly easily.

Either that, or I'm not fully understanding the request. How exactly should FF handle these fractals? Maybe a mockup component would make more sense.

I created the following works with Apophysis (fractal program) and a couple super-secret StevieJ filters.....

steve is quite right about fractals. there are just some things that are almost impossible to do with FF. fractals is almost like the quantum theory of graphics, but its application is far more reaching than just in graphics. your cell phone wouldnt work without fractals, for instance. the antenna was derived from fractal mathematics. figuring the actual length of the distance of a coastline is a fractal problem. plants grow pretty much fractally. imagine what we could do with the creation of objects and patterns with fractals. it's actually a much broader field and has a far more reaching application in the real world than most know. programs like apophysis are cool, but quite limited to most of us, unless you've truly studied the reiterative, looping properties of fractal sets. mandlebrot was a genius and most folks thought he was kinda crazy when he started talking about fractals. lol. aint that always the way?

at any rate, fractals could very easily open up a whole new world in FF and i whole-heartedly agree with steve on this one. i doubt we'll see any of it until at least ver. 3 or maybe even 4, but i think it truly belongs with FF. the potential is just too great to ignore.

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Kraellin wrote: plants grow pretty much fractally. imagine what we could do with the creation of objects and patterns with fractals.

Exactly.....all natures' patterns.....crystaline formation patterns.....leaf patterns.....etc.....endless patterns that are literally impossible to create with FF.....but if FF had them, the sky would be the limit and everything would be possible.....not to mention fast.....

Hey Craig, that was pretty supportive of you.....so I guess we can be friends again..... LOL..... J/K bubba.....

Ron, are you plugging your filters again??? Those are cool!!!

I don't know why FF couldn't handle complex numbers.....already doing it in component image processing.....

I don't know how Vlad would choose to implement them.....but I would guess a single fractal external input component connected to a fractal workshop/explorer environment.....where the "math" would just be proprietary to creating the fractal image for input to the filter.....and in profile gradient/greyscale color to allow colorization thru the existing color gradient components.....

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KGtheway2B wrote: It sounds like you want more of an "iteration" functionality than you want a true mathematical fractal generator. I would be very surprised if nobody in this community is able to construct something that has the "branching" you desire.

If you mean constructing, importing, and applying a tilable fractal pattern.....then yes!!!

The formulas for fractals are given.....but what I think you are saying is how FF would program/set up the "generator" to create fractal images for import.....

Like I said.....I would think that it would have to be a seperate environment by which to create the fractal image.....then import with a single external fractal image component.....

I would be curious to hear from Vlad to how he was/is thinking about doing it???

.....or try creating something like this simple fractal pattern with FF.....total nightmare.....

.....another.....

.....and another.....

Great stuff, Steve!
What software did you use?

Hope you don't mind me posting a couple too.

Hey Tom Waiting to hear back from you about that thing.....

Paisley patterns are fractal patterns.....impossible in FF.....but just think of all the fabric, lace, and neckties that FF could make if it had fractals.....

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ronjonnie wrote: OK! Where did you guys get my filters?? I haven't even posted them yet! lol..

Here's one more from Apophysis...
FF was used to make the colour gradient.

Hey T.L.

Yes! I like that one, very NICE!

Have a GREAT day!

Ron

StevieJ very beautiful and excellent examples you have put here in this thread.

What software have you used to make this nice images ?

As you say it it would be really nice and wonderful to create things like this inside FF

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This thread was done already in 2010, and it seems that now is happening finally in some way, at least with mandelbrot for now, thanks mainly to Rick Duim that is developing and making fractal filters in FF

"At least" is incorrect. FilterForge already offers iterators which gives us the ability to produce fractals.

Of course, it was always possible... I suspect that the speed (slow) and the difficulty in zooming in to the fractal were the main discouragements. Foolishly or not, I came up with a working but clunky UI. There has been a 2 color Mandelbrot by jitspoe available in FF since 2011. It was very preliminary, snippet like in a way and just 2 color, and the zooming needed a complete rethink, but it draws the Mandelbrot perfectly. I used the core of the LUA code and came up with the multiple offset/fine tune "bank" of sliders to deal with zooming in. Added some coloring variations and added the distance estimator method for drawing the inside of the 'Brot. The 4 different gradient drawing methods provide nice color display variations (Linear, Smooth, Steps, Banding) for more variety. So I just pulled a bunch of things together. I was the only one crazy enough to write a full blown fractal filter in FF.

I also have a 12 color Julia Set in the wings. I'm going to release it with FF 5 beta when they start accepting new filters. Don't know when that is. There are some samples of Julia fractals generated with FF starting July 31, 2015 from Chaos Fields.

Both Mandelbrots and the new Julia have been done using Lua scripting for the iterative part. Using jitspoe's 2 color versions from 2011 as the foundation. The 12 color part of the Julia is a new 12 color gradient I have developed as a snippet for FF 5.