Multiple Traps

[_db_]

Fractal Art can be quite challenging. There are an infinite number of images to start with (although most are variations on a theme), hundreds of formulas and transformations to apply, many of which have dozens of parameters to manipulate.  One could spend literally their whole life just thoroughly exploring all the possibilities of a single formula such as the Orbit Traps UF3 used here. What makes it so challenging is that what may seem to be a minor change to a single parameter can result in a total transformation of the image in an entirely unanticipated way.

Needless to say, most of the variations are basically noise, but once in a while a shiny nugget appears in the gravel.  After several hours of wading through mind-numbing textures,  patterns, chaotic lines, etc. that resulted from different combinations of trap shapes and various other parameters an very interesting effect appeared. Changing the Trap Merge mode to max(A,B) suddenly had a profound impact. Another hour of two of tweaking form, colour & composition resulted in this...



BTW, this uses the same formula as the images in the Julia Variations post but starts with a section of a Mandelbrot spiral like the small ones that are seen ducking behind the flat bands everywhere.

Thanks for taking a look.

db

[cKleinhuis]

hui, this has great 3d look, so, you were using an orbit trap, what shape did the trap have ?

the outcome is fantastic, can you render a wider version ?

[_db_]

hui, this has great 3d look, so, you were using an orbit trap, what shape did the trap have ?

the outcome is fantastic, can you render a wider version ?

Thanks very much Trifox, glad you liked it. 

This image uses both the Egg & Spiral traps on the same layer.  The UF4 parameter file is below so you can see the details. You're welcome to explore it for your own use and please post anything interesting to the forum here. If you do play with it note how dramatically the Trap Merge option changes the structure.   

cheers,

db

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[cKleinhuis]

can you describe where to find the layered orbit traps method in uf ?

btw. you can upload uf formula files as attachments 

[_db_]

can you describe where to find the layered orbit traps method in uf ?

Select Orbit Traps (UF3) from dmj3.ucl for the Outside Coloring formula.
Pick expert from the Show Options: list.
Enter 2 (or more if you're brave) for the Number of Traps: option.

There's about a zillion options available, I've played with them for several hours and find it a bit mind-boggling...

btw. you can upload uf formula files as attachments 

Thanks for the tip.

[cKleinhuis]

i see, thank you , the orbit trap is the most powerfull one and with those beatiful variations it is really exciting to play around ...


 

[_db_]

i see, thank you , the orbit trap is the most powerfull one and with those beatiful variations it is really exciting to play around ...


 

It certainly is.

I'd like to find other combinations that introduce structures that have dimensionality and integrate well with the underlying image like this one did. If you run across any please pass them along.

Most of the variations I found were 'typical' distortions, curved lines, etc. Although there are many beautiful images that can be derived from such things, I like the simpler forms and dimensionality like this one has and would like to understand what combination of parameters is more likely to bring them out.

[cKleinhuis]

have you seen my trap images using the supershape formula ?
http://local.wasp.uwa.edu.au/~pbourke/surfaces_curves/supershape/


this one uses an supershape formula pumped through a spiral function ...


here we have a clear superformula shape


the guys from apophysis build the supershape formula into apophysis as another standard transform due to my suggestion ...

some general words about orbit traps,

orbit traps with closed shapes ( like quads or rings ) do not make the nice looking streaks, you got the streaks from an orbit trap converging against infinity by some values, e.g. the hyperbola one or the supershape like above ....

another thing to mention is the high frequent noise appearing when using orbit traps, so every orbit trap should stop at a relatively low iteration count, most of the trapping algorithms in uf have an option for that, and setting the start iteration will also get rid of some big shapes ... :

and another thing which comes to my mind is the position of the trap, when centered at 0.0 every trap is coming out exactly at the center of a minibrot, if you place the shape near the center, the place will be on that relative position on succsesive minibrots...

the images are rendered with the program i am currently developing, with this program you can enter any trap function you like *in upcomming version*

and a layering mechanism for the coloring methods of inner and outside fillings will also be available ...
 

[_db_]

Your images are very striking, thanks for sharing them Trifox.

I just started with fractal art about 2 months ago so supershapes and the intricacies of formulas are all new to me. I really appreciate all the very useful info regarding orbit traps. It's a bit frustrating right now as I can only visualize what's going on in a simplistic and rather vague way which is no doubt rife with misconceptions. 

The info you've provided will be helpful, thanks very much for sharing it.

BTW, Rob Bunney tweaked my fractal on the UF Mailing List and I did some further refinements to the palette and ended up with a really nice variation:

[cKleinhuis]

is there any reason why the images are so small ?

btw. i want to point you to the fractalfroums fractal art 2008 competition, you can win you images printed on a coffe mug
http://www.fractalforums.com/index.php?topic=854.0

and i would love to see some of you images in the fractalforums gallery section,,
http://www.fractalforums.com/index.php?action=gallery

[GFWorld]

Just great  - and , I like Water Fence too ! 
Margit

[GFWorld]

Don - I like both versions - thank´s for the tip´s 
I attach a Miniplay from here - no changes at last from your beautiful work.

The Ufr is to big , so I attach the textfile here :-)))
Margit
*****
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[cKleinhuis]

funny, somehow it looks like a motorway ... an endless neverending infinite motorway 

[_db_]

is there any reason why the images are so small ?

It's just the size I work with when creating them to keep the process moving quickly. How large would you suggest? Unless I'm rendering for print I usually keep the image height to 720 pixels so it'll easily fit full size on a 1024x768 display.

btw. i want to point you to the fractalfroums fractal art 2008 competition, you can win you images printed on a coffe mug
http://www.fractalforums.com/index.php?topic=854.0

and i would love to see some of you images in the fractalforums gallery section,,
http://www.fractalforums.com/index.php?action=gallery

Thanks for the tip on the comps, I'll enter at least one. I did put one image in the gallery and will get more there soon.

***

Thanks Margit for the kind words. Neat tweak you've done there, I was thinking about using the ribbon effect in a mandala and it's great to see what you've done there.