Fractal Art

Hey Everyone,

I was looking for a very cool Fractal Picture to post off of the net, type in Fractal Art, sit back & check out some of the awesome art, most all of it is copyrighted so I did not want to post it. The reason I was doing this is, I love Filter Forge, it is such a Super Cool program, all computer artists need this program, anyway, I wanted to state, with a cool posted Fractal Art pic., that" Some day it will be here at Filter Forge"! Well here I was enjoying all the cool Fractal Art...
http://www.bing.com/images/search?q=f...386-v6.jpg

then bingo,.down towards the bottom... LOL... ..I was in the group...WOW.!No Steve,this is not a self promotion.. I was so surprised to see my filter there, I wanted to thank the Filter Forge Team for the publicity, it made me feel, well, good. Funny I was working on a NEW Fractal Art Filter today.

Have a good evening.

Ron

Look at these:

and

Hereis the math for the smarties.

It looks like it just comes down to this:

{x,y,z}^n = r^n { sin(theta*n) * cos(phi*n) , sin(theta*n) * sin(phi*n) , cos(theta*n) }
...where:
r = sqrt(x^2 + y^2 + z^2)
theta = atan2( sqrt(x^2+y^2), z )
phi = atan2(y,x)
{x,y,z}+{a,b,c} = {x+a, y+b, z+c}
r = sqrt(x*x + y*y + z*z )
theta = atan2(sqrt(x*x + y*y) , z)
phi = atan2(y,x)
newx = r^n * sin(theta*n) * cos(phi*n)
newy = r^n * sin(theta*n) * sin(phi*n)
newz = r^n * cos(theta*n)

FF has all those operations now. If I just had a clue I could connect it up and have killer renders by lunch. damn me and my cluelessness.

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Carl wrote: that's pretty simple

Well, I left out the part where they say, 'z' and 'c' are hypercomplex ('triplex') numbers.

Since there is no reason you could not use that math to output vertices rather than bitmap locations, we should be seeing a movie takes place on a set that looks like this:

Damn My beta expired on my laptop and I'm in the cottage, won't come home until late.

*Mental Note* Install the key on the laptop so I can FilterForge rainy days in the cottage too.

Hey RonJ the image that I posted was created directly from your first posted pic here.....the gradient transition of colors helped nicely to self-create the texture.....but of course used a super-secret StevieJ 3-component FF filter from the vault..... .....

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Totte wrote: My beta expired on my laptop and I'm in the cottage, won't come home until late. *Mental Note* Install the key on the laptop so I can FilterForge rainy days in the cottage too.

I don't know how you are going to make it without FF.....my head would spin 360 degrees like in The Exorcist.....then explode like in Scanners..... LOL.....

Mr. Ron Viers .....I'm in LOVE with the pic you posted below.....the combination of different fractal patterns mapped on a 3D scape is totally awesome.....trying to see if I can create "faux" 3D scapes with just FF.....having some success.....but looks like it will be easier, faster, and be able to create much more interesting scapes using either 3ds Max, Blender, or Free Space.....unless FF breaks into true 3D.....

Damn!!! This is frick'n intriguing!!! .....

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ronviers wrote: It looks like it just comes down to this: {x,y,z}^n = r^n { sin(theta*n) * cos(phi*n) , sin(theta*n) * sin(phi*n) , cos(theta*n) } ...where: r = sqrt(x^2 + y^2 + z^2) theta = atan2( sqrt(x^2+y^2), z ) phi = atan2(y,x) {x,y,z}+{a,b,c} = {x+a, y+b, z+c} r = sqrt(x*x + y*y + z*z ) theta = atan2(sqrt(x*x + y*y) , z) phi = atan2(y,x) newx = r^n * sin(theta*n) * cos(phi*n) newy = r^n * sin(theta*n) * sin(phi*n) newz = r^n * cos(theta*n)

It is even simpler: the formula is repeated several times in that quote.

I made a modified version for 2 dimensions and fed the LP into it.

It's a start, now it needs some navigation controls. This is just staring straight down the middle, so to speak.

Hey ThreeDee,

I have not joined the Script Club as yet, but your post above is VERY COOL.
That image, 2 up above your post that Steve was raving about is Awesome.
I don't think you can get that out of Filter Forge2.0, might be 6.0 with Turbo Boost.?

I ran your Fractal 1.ffxml with my filter strictly just for fun, to see what would happen. Very COOL! You are on the right track.

Have a good evening,

Ron

Here's another iteration of that not-quite-fractal fractal.

I believe so. Maybe there is some braoder meaning to the term, but at least I would think they mean that the function uses the 8th power in it. Or, if it goes through the formula several times over, it has been put through it 8 times.

this slightly altered version of his formula will give you the cross section of a given z

local n = 8
local r = 0

local theta = 0
local phi = 0

while ((r <= radius) and (iteration < MAX_ITERATION) ) do

r = math.sqrt(x^2 + y^2 + z^2)
theta = n * math.atan2(math.sqrt(x^2 + y^2) , z)
phi = n * math.atan2(y,x)
x = x + r^n * math.sin(theta) * math.cos(phi)
y = y + r^n * math.sin(theta) * math.sin(phi)
z = z + r^n * math.cos(theta)

iteration = iteration + 1
end;

Hi Everyone:

I was just playing around with ThreeDee's Fractal 1 and came up with a few interesting results. The code was not modified.

Original Image:

Z-offset:0
Iliterations:6
Zoom:50

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ronviers wrote: Damn. Everything I do gives me a malformed script error.

Yeah, I'm getting used to seeing that big red "X" too.....but starting to catch on.....experimenting alot with trying to create an overview 3D perspective on things.....gotta stop trying to walk before I can crawl.....so to say.....

Paul, those look cool.....kinda have a neat picture frame idea going there.....

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ronviers wrote: after seeing the stuff done by Daniel White, like the mystery cave, I'm not interested in 2d fractals anymore.

Same here.....you can pull some neat stuff out of 2D fractals using FF's limitted "Z" lighting height.....but 3D looks sooooo much more interesting.....even when rendered through FF.....

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ronviers wrote: You'll get it Steve. Hang in there. It *will* be worth it.

You too.....suggest dropping python and coming back over here to the dark side where your creative mind is much needed.....

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ronviers wrote: Python is very important.

Taking too much of your time away from FF.....

Clip

Hi Ron:

Thanks for the kind words. Yes that is my daughter when she was little.
She is now 8. Time does fly...I still have many more years with her at home, and me I am pushing mid 50's. I am looking forward to that over 60 thing..lol.

Have yourself a great fathers day.

Paul

Clip.

Another variant