For given width, height, magn, how can I obtain the #pixel spacing? For a square image it seems 4/#magn/#width, but for other aspect ratios I can't figure it out.

Is there any way to make formula variables visible in the coloring formula loop? I'm trying some fractals with more than one variable z and need to use both in coloring.

I have an ugly workaround basically doing all the coloring in the fractal formula and stuffing the color index in #z at the end and then just setting #index = #z in the coloring formula.

Is it possible to declare a Global Variable such that its value persists across animation frames? This is necessary when one frame of the animation is dependent on some computational state information of the previous frame, behond what is stored in the Parameters.

For example, the fractals produced in diffusion models, where the pictorial fractal is a representation of a computational state w

@ Frederik

My formula file om.ufm is getting quite large, 2017 kb, with a lot of formulas. I have just received a request from someone who uses the formulas for a new file. Is it possible to have an om2.ufm file, please?

Hi all,

In some coloring algorithm there is a loop, (for instance in the Gaussian integer algorithm)

loop:
iter=iter+1
temp2=#z
......
final:

I want to know when this part is executed.
Is it added at the loop of the formula, for instance Mandelbrot formula?

Thank you

Hi all,

In the slope (Mandelbrot) formula a «height» based on distance estimator is calculated.
Can you tell the origin of these formulas, or an explanation?
Thanks

Hello
I am a beginner with the writing of formulas.

I have two questions:

1.
In the triangle inequality average coloring program we find:

IF (!first)
az2 = cabs(#z - #pixel)
lowbound = abs(az2 - ac)
sum = sum + ((cabs(#z) - lowbound) / (az2+ac - lowbound))
ELSE
first = false
ENDIF

I suppose that !first means the value of first but I a

There is a script in apo that I really wish I could play with in UF (my apo got corrupted and can't find it now as it was removed from where I found it and cannot now find another version that will work on my mac) called Faerie Blossom originally written for Apophysis by Bunnie Clark and Bart Doetsch, am I wishful thinking here or is it possible?

Can someone show me how I can make a dragon curve in this program? I'm new and I can't figure out how you can do something like this. If it is not possible to do this, can you show me another program that may help?

It's been so long that I've done any UF programming that I've forgotten how to get the window boundary values in fractal coordinates, assuming that there's no skew. I remember that #ctr gives the center. And there's some stuff about the width to height ratio being over or under 4:3.

Greetings. Back in the days of the old mailing list, there were so many discussions about what it took to make a fractal image one's own, but not nearly so much discussion relating to modifications of fractal formulas in UFM files. Most of us have modified z = z^2 + c many times without a thought, but what about other fractal formulas? Many of us have been asked for permission to modify our fo

I am an avid fan of XaoS and it has a very unique fractal called Catseye. There isn't much documentation on it, I don't know where it came from, and I have no idea what the actual formula looks like. Perhaps it can be uncovered somewhere on GitHub? It has some incredible potential when varying the bailout value and the different fractal planes. Here are some designs I worked up mostly in Juli

PixelCoordinate, a UtilityTransform, takes as argument a fractal coordinate z and returns the corresponding pixel coordinate.

Is there a similar transform that takes as argument a pixel coordinate and returns the corresponding fractal coordinate?

If not, I could write one.

I'd like to do the following in the default section:

int param p1
; stuff
endparam
int param p2
min = 1
max = @p1
endparam
but UF6 won't let me use @p1 here. Is there any way around this other than checking in the Init section?

Is anyone else unable to access the public formulas, either browse or recent changes or logging in as an author?

I am able to update my formulas successfully in UF, but cannot upload some new formulas I have written.

I get this message:

CGIWrap Error: Request Error

followed by (for browsing collection):

There is a problem with the request. Please contact the owner of the site

The past week or so, I've been developing a new coloring algorithm. The basic idea was to use the minimum iteration of the image to help determine how the image was colored.

I know the software reports the minimum iterations for the current image in a separate window, but I haven't seen any way to access that information within a formula. Is there any way to access that information for colori

Hello,

I have been using Fractal Explorer [now defunct, and I'm kicking myself fro not buying a license to the source years ago when the Russian dude was still responding to e-mail] and I have many [probably about 1k] original fractal formulae that are stuck in that format.

I still have the app, but it only works on 32 bit systems, and I only have one 32 bit computer left.

I followed

Over the last few months I have created a file of unique Newton, Halley, and Householder method formulas, and would like to upload them to the public database. Rather than include them with my previously existing formula files, since there are so many entires I would like to create a jam-Newton.ufm file or something like that. Who do I contact these days about creating a new formula file for th

Hi all.

When writing a coloring algorithm, is there a way to set repeat gradient as unchecked by default? I've tried 'repeatgradient=0' and similar, but no luck yet.....

This is a formula I found initially through a program for the iPad called Frax...
They use a Line Average coloring algorithm... I googled it and found this.
I have no clue how to program it into UF, so I was hoping to find someone here that did know how...

float xmin = -2.5;
float ymin = -2.0;
float wh = 4;
float stripes = 5.0;
int maxIterations = 1000;

void setup() {
size(800, 80